Bo Tian, Shan Yin, Yang Liu, Julián Londoño Monsalve, Nonlinear characteristics identification of an impact oscillator with a one-sided elastic constraint, Journal of Sound and Vibration, 2024, 118270, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2024.118270.
M. Rosenblum, A. Pikovsky, Inferring connectivity of an oscillatory network via the phase dynamics reconstruction, Front. Netw. Physiol., 23 November 2023, Sec. Networks in the Brain System, Volume 3 – 2023, https://doi.org/10.3389/fnetp.2023.1298228
Yingchao Li, Shuangyuan Si, Tao Zou, Zhenhua Fan, Nonlinear Instantaneous Characteristics and Asymmetry of the Bilinear System with Application to the Structural Damage Estimation, Measurement, 2023, 113728, ISSN 0263-2241, https://doi.org/10.1016/j.measurement.2023.113728.
dos Santos, K. R. M. (June 30, 2023). “Electrical Response Estimation of Vibratory Energy Harvesters via Hilbert Transform Based Stochastic Averaging.” ASME. ASME J. Risk Uncertainty Part B. December 2023; 9(4): 041201. https://doi.org/10.1115/1.4062704
Daniele Botto, Matteo Glorioso, Serena Occhipinti, Federica Cuccovillo, Uncertainty in identifying contact stiffness in a dovetail attachment for turbine blades, Mechanical Systems and Signal Processing, Volume 197, 2023, 110379, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2023.110379.
Jun Wang, Liu Zheng, Yixu Wang, Na Miao, Xiaolin Zhang; Analysis of air bearing torsion pendulum moment of inertia measurements including nonlinear oscillation and damping. Rev Sci Instrum 1 June 2023; 94 (6): 065106. https://doi.org/10.1063/5.0108741
Qinghua Liu, Junyi Cao, Ying Zhang, Zhenyang Zhao, Gaëtan Kerschen, Xingjian Jing, Interpretable sparse identification of a bistable nonlinear energy sink, Mechanical Systems and Signal Processing, Volume 193, 2023, 110254, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2023.110254.
Bonisoli, E.; Dimauro, L.; Venturini, S.; Cavallaro, S.P. Experimental Detection of Nonlinear Dynamics Using a Laser Profilometer. Appl. Sci. 2023, 13, 3295. https://doi.org/10.3390/app13053295
Wolfgang Witteveen, Michael Kuts, Lukas Koller, Can transient simulation efficiently reproduce well known nonlinear effects of jointed structures?, Mechanical Systems and Signal Processing, Volume 190, 2023, 110111, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2023.110111.
Jun Wang et al, Torsion pendulum measurement method for time varying moment of inertia, 2023 Meas. Sci. Technol. 34 035011 DOI 10.1088/1361-6501/aca5a7
Botto, D., Cuccovillo, F., and Iannotti, V. (December 22, 2022). “Experimental Investigation of Friction Damping in Blade Root Joints.” ASME. J. Eng. Gas Turbines Power. May 2023; 145(5): 051010. https://doi.org/10.1115/1.4056099
Liu, Q., Zhang, Y., Hou, Z. et al. Optimal Hilbert transform parameter identification of bistable structures. Nonlinear Dyn (2022). https://doi.org/10.1007/s11071-022-08120-z
Lin C, Zhao Z, Wang Z, Jiang J, Wu Z, Wang X. Quantifying Uncertainties in Nonlinear Dynamics of a Modular Assembly Using the Resonance Decay Method. Actuators. 2022; 11(12):350. https://doi.org/10.3390/act11120350
Y. Harduf, E. Setter, M. Feldman, I. Bucher, Modeling additively-manufactured particle dampers as a 2DOF frictional system, Mechanical Systems and Signal Processing, Volume 187, 2023, 109928, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2022.109928.
Khorrami, H.; Sedaghati, R.; Rakheja, S. Vertical Transient Response Analysis of a Cracked Jeffcott Rotor Based on Improved Empirical Mode Decomposition. Vibration 2022, 5, 408–428. https:// doi.org/10.3390/vibration5030023
Qu, H.; Chang, A.; Li, T.; Guan, Z. Synchro-Squeezed Adaptive Wavelet Transform-Based Optimized Multiple Analytical Mode Decomposition: Parameter Identification of Cable-Stayed Bridge under Earthquake Input. Buildings 2022, 12, 1285. https://doi.org/10.3390/buildings12081285
Ren, X. Modal Parameter Identification of Nonlinear Systems Based on Hilbert Vibration Decomposition. Iran J Sci Technol Trans Civ Eng (2022). https://doi.org/10.1007/s40996-022-00914-w
Mingjie Zhang et al., Modal parameter identification of time-varying and weakly nonlinear systems based on an improved empirical envelope method, Intemational Journal of Structural Stability and Dynamics, https://doi.org/lO.1142/S0219455423500682
Bajkowski, J.M., Dyniewicz, B., Bajer, C.I. et al. Evaluation of instantaneous vibration parameters of a snowboard with a prototype granular dissipator. Sports Eng 25, 17 (2022). https://doi.org/10.1007/s12283-022-00382-5
Waszczuk-Młyńska, A.; Gałęzia, A.; Stanisław, R. Fault Identification in Membrane Structures Using the Hilbert Transforms. Sensors 2022, 22, 6224. https://doi.org/10.3390/s22166224
Wang, S.; Tang, B. A Comparative Study of Parameter Identification Methods for Asymmetric Nonlinear Systems with Quadratic and Cubic Stiffness. Sensors 2022, 22, 5854. https://doi.org/10.3390/s22155854
Cenedese M., Axås J., Yang H., Eriten M. and Haller G. 2022, Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems, Phil. Trans. R. Soc. A.3802021019420210194, http://doi.org/10.1098/rsta.2021.0194
Xiang Li, Alireza Mojahed, Li-Qun Chen, Lawrence A. Bergman, Alexander F. Vakakis, Shock response mitigation of a large-scale structure by modal energy redistribution facilitated by a strongly nonlinear absorber. Acta Mechanica Sinica, (2022). 38. 121464. 10.1007/s10409-022-09023-x.
Shuaishuai LIU, Rui ZHAO, Kaiping YU, Bowen ZHENG, Nonlinear system identification framework of folding fins with freeplay using backbone curves, Chinese Journal of Aeronautics, 2022, ISSN 1000-9361, https://doi.org/10.1016/j.cja.2022.05.011.
Sha Weihttps, Hu Dinghttps, Zhike Peng, and Li-Qun, Identification of forced time-varying systems via intrinsic chirp component decomposition,
Journal of Vibration and Control, 2022, https://doi.org/10.1177/10775463221093104.
Marek Jan Janocha, Muk Chen Ong, and Guang Yina, Large eddy simulations and modal decomposition analysis of flow past a cylinder subject to flow-induced vibration,
Physics of Fluids 34, 045119 (2022); https://doi.org/10.1063/5.0084966
Leila Gharavi, Mohammad Zareinejad, Abdolreza Ohadi, Continuum analysis of a soft bending actuator dynamics, Mechatronics, Volume 83, 2022, 102739, ISSN 0957-4158, https://doi.org/10.1016/j.mechatronics.2022.102739.
Qinghua Liu, Junyi Cao, Zehao Hou, Ying Zhang, and Xingjian Jing, Identification of Stiffness Force in Nonlinear Piezoelectric Structures Based on Hilbert Transform, X. Jing et al. (Eds.): ICANDVC 2021, LNEE 799, pp. 584–596, 2022, https://link.springer.com/content/pdf/10.1007%2F978-981-16-5912-6_43.pdf
Wall M.P.J., Allen M.S., Kuether R.J. (2022) Nonlinear Variability due to Mode Coupling in a Bolted Benchmark Structure. In: Kerschen G., Brake M.R., Renson L. (eds) Nonlinear Structures & Systems, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-77135-5_2
Dastani, H.; Botto, D.; Glorioso, M. Experimental and Numerical Investigation of Contact Parameters in a Dovetail Type of Blade Root Joints. Appl. Sci. 2021, 11, 12008. https://doi.org/10.3390/ app1124120
Abu Bakar, Mohd Aftar & Mohd ariff, Noratiqah & Metcalfe, Andrew. (2021). Wavelet Characterizations for Investigating Nonlinear Oscillators. Sains Malaysiana. 50. 3405-3420. 10.17576/jsm-2021-5011-24.
Xu, Z.; Tao, Y.; Hernandez, L. Novel Methods for the Computation of Small-Strain Damping Ratios of Soils from Cyclic Torsional Shear and Free-Vibration Decay Testing. Geotechnics 2021, 1, 330-346. https://doi.org/10.3390/geotechnics1020016
Zhang, X.; Zhang, C.; Wang, L.; Chen, L.; Chen, X.; Xu, D.; Fan, H.; Zhu, F. A Method for Parameter Identification of Composite Beam Piezoelectric Energy Harvester. Sensors 2021, 21, 7213. https://doi.org/10.3390/s21217213
H.M. Phan, A spatial–temporal analysis approach for flutter predictions using decoupled and fully-coupled methods, Journal of Fluids and Structures, Volume 107, 2021, 103412, ISSN 0889-9746, https://doi.org/10.1016/j.jfluidstructs.2021.103412.
D. Zheng and Y. Dong, “A Novel Eddy Current Testing Scheme by Transient Oscillation and Nonlinear Impedance Evaluation,” in IEEE Sensors Journal, vol. 18, no. 12, pp. 4911-4919, 15 June15, 2018, doi: 10.1109/JSEN.2018.2829705.
Shibo Wang, Bin Tang, Estimating quadratic and cubic stiffness nonlinearity of a nonlinear vibration absorber with geometric imperfections, Measurement, Volume 185, 2021, 110005, ISSN 0263-2241, https://doi.org/10.1016/j.measurement.2021.110005.
Mengshi Jin, Giancarlo Kosova, Mattia Cenedese, Wei Chen, Aryan Singh, Debasish Jana, Matthew R.W. Brake, Christoph W. Schwingshackl, Satish Nagarajaiah, Keegan J. Moore, Jean-Philippe Noël, Measurement and identification of the nonlinear dynamics of a jointed structure using full-field data; Part II – Nonlinear system identification, Mechanical Systems and Signal Processing, Volume 166, 2022, 108402, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2021.108402.
Aryan Singh, Keegan J. Moore, Identification of multiple local nonlinear attachments using a single measurement case, Journal of Sound and Vibration, Volume 513, 2021, 116410, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2021.116410.
Sun, Wei; Li, Yingchao; Jiang, Ruinian; Han, Yanqing; Weldon, Brad D., Hilbert transform-based nonparametric identification of nonlinear ship roll motion under free-roll and irregular wave exciting conditions, 2021, Ships and Offshore Structures, 1, 17, Taylor & Francis, pp. 1744-5302, https://doi.org/10.1080/17445302.2021.1954327
Li, C., Cao, Y. Modal Parameter Identification Based on an Enhanced Hilbert Vibration Decomposition. Iran J Sci Technol Trans Civ Eng (2021). https://doi.org/10.1007/s40996-021-00705-9
Sharma, A., Kumar, P., Vinayak, H.K., Walia, S.K. and Patel, R.K. (2021), “Hilbert transform and spectral kurtosis based approach in identifying the health state of retrofitted old steel truss bridge”, World Journal of Engineering, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/WJE-08-2020-0375
Sharma, A., Kumar, P., Vinayak, H. K., Walia, S. K. (2021). Condition Evaluation in Steel Truss Bridge with Fused Hilbert Transform, Spectral Kurtosis, and Bandpass Filter. Structural Durability & Health Monitoring, 15(2), 139–165, doi:10.32604/sdhm.2021.012316
Luis Gerardo Trujillo-Franco, Gerardo Silva-Navarro, Francisco Beltran-Carbajal, “Algebraic Parameter Identification of Nonlinear Vibrating Systems and Non Linearity Quantification Using the Hilbert Transformation”, Mathematical Problems in Engineering, vol. 2021, Article ID 5595453, 16 pages, 2021. https://doi.org/10.1155/2021/5595453
P. Shivashankar, S. Gopalakrishnan, S.B. Kandagal, Nonlinear modeling of d33-mode piezoelectric actuators using experimental vibration analysis, Journal of Sound and Vibration, Volume 505, 2021, 116151, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2021.116151.
Allen, Mathew & Kuether, Robert. (2022). Observations of modal coupling due to bolted joints in an experimental benchmark structure. Mechanical Systems and Signal Processing. 162. 107968. 10.1016/j.ymssp.2021.107968.
Yingzhi Xia, Hui Li, Zhezhe Fan, Jiyong Xiao, “Modal Parameter Identification Based on Hilbert Vibration Decomposition in Vibration Stability of Bridge Structures”, Advances in Civil Engineering, vol. 2021, Article ID 6688686, 9 pages, 2021. https://doi.org/10.1155/2021/6688686
Aftab, H., Baneen, U. & Israr, A. Identification and severity estimation of a breathing crack in a plate via nonlinear dynamics. Nonlinear Dyn (2021). https://doi.org/10.1007/s11071-021-06275-9
Wenyong Yuan, Shujin Laima, Wen-Li Chen, Hui Li, External excitation effects on the flutter characteristics of a 2-DOF rigid rectangular panel, Journal of Wind Engineering and Industrial Aerodynamics, Volume 209, 2021, 104486, ISSN 0167-6105,
https://doi.org/10.1016/j.jweia.2020.104486.
Bi Ge, Zuo-Cai Wang, Ya-Jie Ding, Ye Mo, Hilbert square demodulation and error mitigation of the measured nonlinear structural dynamic response, Mechanical Systems and Signal Processing, Volume 160, 2021, 107935, ISSN 0888-3270,
https://doi.org/10.1016/j.ymssp.2021.107935.
Urasaki, S., Yabuno, H. Identification method for backbone curve of cantilever beam using van der Pol-type self-excited oscillation. Nonlinear Dyn 103, 3429–3442 (2021). https://doi.org/10.1007/s11071-020-05945-4
Yingzhi Xia, Hui Li, Zhezhe Fan, Jiyong Xiao, “Modal Parameter Identification Based on Hilbert Vibration Decomposition in Vibration Stability of Bridge Structures”, Advances in Civil Engineering, vol. 2021, Article ID 6688686, 9 pages, 2021. https://doi.org/10.1155/2021/6688686
Sharma, A., Kumar, P., Vinayak, H.K. et al. Identification of Joint Discrepancy in Steel Truss Bridge Using Hilbert Transform with root-MUSIC and ESPRIT Techniques. Int J Civ Eng (2021). https://doi.org/10.1007/s40999-020-00597-2
Masoud Mirtaheri, Mojtaba Salkhordeh, Masoud Mohammadgholiha, “A System Identification-Based Damage-Detection Method for Gravity Dams”, Shock and Vibration, vol. 2021, Article ID 6653254, 15 pages, 2021. https://doi.org/10.1155/2021/6653254
Sheng-Sheng Lu, Yen-Liang Lee, Jen-Jen Lin, Chien C. Chang, An EMD-based principal frequency analysis with applications to nonlinear mechanics, Mechanical Systems and Signal Processing, Volume 150, 2021, 107300, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2020.107300.
Joseph P. Wright, Peng F. Tang, Jin-Song Pei, François Gay-Balmaz, Joseph P. Havlicek, On computing the analytic-signal backbone of the unforced harmonic oscillator, Journal of Computational and Applied Mathematics, Volume 385, 2021, 113206, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2020.113206.
V. Ondra, I.A. Sever, C.W. Schwingshackl, Identification of complex non-linear modes of mechanical systems using the Hilbert-Huang transform from free decay responses, Journal of Sound and Vibration, Volume 495, 2021, 115912,
ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2020.115912.
Syuhri, S.N.H.; Zare-Behtash, H.; Cammarano, A. Investigating the Influence of Fluid-Structure Interactions on Nonlinear System Identification. Vibration 2020, 3, 521-544. https://doi.org/10.3390/vibration3040032
Xia, Y.-X.; Zhou, Y.-L. Mono-Component Feature Extraction for Condition Assessment in Civil Structures Using Empirical Wavelet Transform. Sensors 2019, 19, 4280. https://doi.org/10.3390/s19194280
Subekti, S., Hidayat, M. N., Efendi, B. D., Hamid, A., & Murwanto, A. (2020). Hilbert Transform Analyzer for Mechanical Fault Detection of Vehicle Alternators. Automotive Experiences, 3(3), 89-95. https://doi.org/10.31603/ae.v3i3.3834
Al-hababi, T.; Cao, M.; Saleh, B.; Alkayem, N.F.; Xu, H. A Critical Review of Nonlinear Damping Identification in Structural Dynamics: Methods, Applications, and Challenges. Sensors 2020, 20, 7303.
Jin, Mengshi; Chen, Wei; Brake, Matthew R. W.; Song, Hanwen, Identification of Instantaneous Frequency and Damping From Transient Decay Data, Journal of Vibration and Acoustics, 2020, v 142, (5), pp.1048-9002, https://doi.org/10.1115/1.4047416
Bajkowski JM, Dyniewicz B, Bajer CI, Bajkowski J. An experimental study on granular dissipation for the vibration attenuation of skis. Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology. October 2020. doi:10.1177/1754337120964015
Sheng-Sheng Lu, Yen-Liang Lee, Jen-Jen Lin, Chien C. Chang, An EMD-based principal frequency analysis with applications to nonlinear mechanics, Mechanical Systems and Signal Processing, Volume 150, 2021, 107300, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2020.107300.
Enrique García-Macías, A.E. Martínez-Castro, Hilbert transform-based semi-analytic meta-model for maximum response envelopes in dynamics of railway bridges, Journal of Sound and Vibration, Volume 487, 2020, 115618, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2020.115618.
Guowei Tu, Xingjian Dong, Shiqian Chen, Baoxuan Zhao, Lan Hu, Zhike Peng,
Iterative nonlinear chirp mode decomposition: A Hilbert-Huang transform-like method in capturing intra-wave modulations of nonlinear responses, Journal of Sound and Vibration, Volume 485, 2020, 115571, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2020.115571.
Jin, M., Chen, W., Brake, M. R. W., and Song, H. (June 26, 2020). “Identification of Instantaneous Frequency and Damping From Transient Decay Data.” ASME. J. Vib. Acoust. October 2020; 142(5): 051111. https://doi.org/10.1115/1.4047416
G. Asbjornsson, I. Erdem, M. Evertsson, Application of the Hilbert transform for diagnostic and control in crushing, Minerals Engineering, Volume 147, 2020, 106086, ISSN 0892-6875, https://doi.org/10.1016/j.mineng.2019.106086.
Mokhtari, S.A., Sabzehparvar, M. & Imani, K. Nonlinear Flight Mode Identification by Applying Modified Ensemble Empirical Mode Decomposition and Hilbert-Huang Transformation. Int. J. Aeronaut. Space Sci. (2020). https://doi.org/10.1007/s42405-020-00258-7
Ilker Erdem, Gauti Asbjornsson, Henrik Kihlman, Feedforward control for oscillatory signal tracking using Hilbert transform, European Journal of Control, Volume 50, 2019, Pages 41-50, ISSN 0947-3580, https://doi.org/10.1016/j.ejcon.2019.06.002.
Keegan J. Moore, Characteristic nonlinear system identification: A data-driven approach for local nonlinear attachments, Mechanical Systems and Signal Processing, Volume 131, 2019, Pages 335-347, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2019.05.066.
Ketson R. M. dos Santos, Ioannis A. Kougioumtzoglou, and Pol D. Spanos, Hilbert Transform Based Stochastic Averaging Technique for Determining the Survival Probability of Nonlinear Oscillators, Journal of Engineering Mechanics, Volume 145 Issue 10 – October 2019
Varzhitskii, L. A., Chertykovtseva, N. V., 2019/11/21, Numerical and Full-Scale Study of Measurement Errors of the Frequency Response of Vibration Isolators, Measurement Techniques, pp. 1573-8906,
https://doi.org/10.1007/s11018-019-01669-z
Dorraki M, Islam MS, Allison A, Abbott D. 2019 Parameter identification using
moment of velocity. R. Soc. open sci. 6: 190671.
http://dx.doi.org/10.1098/rsos.190671
Dorraki M, Fouladzadeh A, Allison A, Davis BR, Abbott D. 2019 On moment
of velocity for signal analysis. R. Soc. open sci. 6: 182001.
http://dx.doi.org/10.1098/rsos.182001
Ippersiel, P., Preuss, R., Robbins, S.M., The Effects of Data Padding Techniques on Continuous
Relative-Phase Analysis Using the Hilbert Transform, 2019, Journal of applied biomechanics,
35(4), pp. 247-255
Chengjun Tan; Nasim Uddin, P.E.; Eugene J. OBrien; Patrick J. McGetrick,
Extraction of Bridge Modal Parameters Using Passing Vehicle Response, Journal of Bridge Engineering,
Vol. 24, Issue 9 (September 2019)
Predaricka Deastra, D. J. Wagg, Neil D. Sims,
Time domain analysis of structures with hysteretic vibration suppression systems,
July 2019, Journal of Physics Conference Series 1264:012032,
DOI: 10.1088/1742-6596/1264/1/012032
Chen, Z., Tse, K.T. Identification of physical nonlinearities of a hybrid aeroelastic–pressure balance. Nonlinear Dyn 98, 95-111 (2019). Nonlinear Dyn (2019). https://doi.org/10.1007/s11071-019-05173-5
Mengshi Jin, Matthew R.W. Brake, Hanwen Song, Comparison of nonlinear system identification methods for free decay measurements with application to jointed structures, Journal of Sound and Vibration, Volume 453, 2019, Pages 268-293, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2019.04.021.
Utku Boz, Melih Eriten, Nonlinear system identification of soft materials based on Hilbert transform, Journal of Sound and Vibration, Volume 447, 2019, Pages 205-220, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2019.01.025.
Ondra, V., Sever, I. A., & Schwingshackl, C. W. (2019). A method for non-parametric identification of non-linear vibration systems with asymmetric restoring forces from a resonant decay response. Mechanical Systems and Signal Processing, 114, 239-258. doi:10.1016/j.ymssp.2018.05.010
A combined method for instantaneous frequency identification in low frequency structures
Liu J, Zheng J, Wei X, Ren W, Laory I, Engineering Structures (2019) 194 370-383
DOI: 10.1016/j.engstruct.2019.05.057
Hongya Qu, Tiantian Li, Genda Chen, Multiple analytical mode decompositions (M-AMD) for high accuracy parameter identification of nonlinear oscillators from free vibration, Mechanical Systems and Signal Processing, Volume 117, 2019, Pages 483-497, https://doi.org/10.1016/j.ymssp.2018.08.012.
Xiaobin Hong, Yuan Liu, Xiaohui Lin, Zongqiang Luo, and Zhenwei He, Nonlinear Ultrasonic Detection Method for Delamination Damage of Lined Anti-Corrosion Pipes Using PZT Transducers, Appl. Sci. 2018, 8(11), 2240; https://doi.org/10.3390/app8112240
Yue Si, Zhousuo Zhang, Bohan Zhao, Lingfei Kong and Shujuan Li, A novel method for bonding state detection of explosive clad structure based on the Hilbert envelop energy ratio of mono-model signals, Smart Materials and Structures, 2018,, Volume 27, Number 11
Aijun Hu, Jun Zhao, Ling Xiang, Output-only modal analysis of wind turbine tower based on vibration response under emergency stop, ISA Transactions, Volume 80, 2018, Pages 411-426, ISSN 0019-0578, https://doi.org/10.1016/j.isatra.2018.07.035
LOU J. OBERTO, ZEB W. BARBER, AND WM.RANDALL BABBITT, Nonlinear recovery of narrow spectral features with fast chirped readout Vol. 35, No. 12 / December 2018 / Journal of the Optical Society of America B, pp. 2963-2969
Yan Zhao, Baofeng Zhang, Fangfang Han, Huan Tian, Xiao Yu, and Junchao Zhu, Instantaneous Characteristics of Nonlinear Torsion Pendulum and Its Application in Parameter Estimation of Nonlinear System, Mathematical Problems in Engineering, Hindawi, Volume 2018, Article ID 7858403, 10 pages https://doi.org/10.1155/2018/7858403
Zhan Hu, Xing Wang, Hongxiang Yao, Guangyuan Wang and Gangtie Zheng, Theoretical Analysis and Experimental Identification of a Vibration Isolator With Widely-Variable Stiffness, J. Vib. Acoust 140(5), 051014 (Apr 26, 2018) (11 pages) Paper No: VIB-17-1514; doi: 10.1115/1.4039537
Yumiao Wei, Yonggui Dong, Xianxiang Huang, Zhili Zhang, Nonlinearity measurement for low-pressure encapsulated MEMS gyroscopes by transient response, Mechanical Systems and Signal Processing, Volume 100, February 2018, Pages 534-549, https://doi.org/10.1016/j.ymssp.2017.07.034
Piotr Wolszczak, Krystian Lygas, Grzegorz Litak, Dynamics identification of a piezoelectric vibrational energy harvester by image analysis with a high speed camera, Mechanical Systems and Signal Processing, Volume 107, 2018, Pages 43-52, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2018.01.024.
Chouiyakh, H., Azrar, L., Alnefaie, K., & Akourri, O. (2018), Crack identification based on the nonlinear response of plates with variably oriented surface crack. Paper presented at the MATEC Web of Conferences, 149, 02061 (2018), 14910.1051/matecconf/201714902061
Yildirim T, Zhang J, Sun S, Alici G, Zhang S, Li W. Experimental nonlinear model identification of a highly nonlinear resonator. ASME. J. Vib. Acoust. 2018. doi:10.1115/1.4039030
Jose Antunes, Vincent Debut, Pilippe Piteau, Xavier Delaune, Laurent Borsoi, On using the Hilbert transform for blind identification of complex modes: A practical approach, In Journal of Sound and Vibration, Volume 412, 2018, Pages 222-241, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2017.09.017.
Tian-Chen Yuan, Jian Yang and Li-Qun Chen, Nonparametric Identification of Nonlinear Piezoelectric Mechanical Systems, J. Appl. Mech 85(11), 111008 (Aug 24, 2018) (13 pages) Paper No: JAM-18-1141; doi: 10.1115/1.4040949
Pol D. Spanos; Ioannis A. Kougioumtzoglou; Ketson R. M. dos Santos; and Andre T. Beck, Stochastic Averaging of Nonlinear Oscillators: Hilbert Transform Perspective, Journal of Engineering Mechanics, Vol. 144, Issue 2, 2018, https://doi.org/10.1061/(ASCE)EM.1943-7889.0001410
Cooper, S. B., D. DiMaio, and D. J. Ewins. 2018. “Integration of System Identification and Finite Element Modelling of Nonlinear Vibrating Structures.” Mechanical Systems and Signal Processing 102: 401-430. doi:10.1016/j.ymssp.2017.09.031
Cooper, S. B.; Di Maio, D.; Ewins, D. J., Nonlinear Vibration Analysis of a Complex Aerospace Structure, 2017, in Nonlinear Dynamics, G. Kerschen (ed.), Nonlinear Dynamics, Volume 1, Conference Proceedings of the Society
for Experimental Mechanics Series, DOI 10.1007/978-3-319-54404-5_6
Vaclav Ondra, Robin Riethmueller, Matthew R. W. Brake, Christoph W. Schwingshackl, Pavel M. Polunin, Steven W. Shaw, Comparison of Nonlinear System Identification Methods for Free Decay Measurements with Application to MEMS Devices, Sensors and Instrumentation, Volume 5: Proceedings of the 35th IMAC, A Conference and Exposition on Structural Dynamics 2017, pp.29-46, doi=”10.1007/978-3-319-54987-3_5″
Tian Chen Yuan, Jian Yang, Li-Qun Chen, Experimental identification of hardening and softening nonlinearity in circular laminated plates, International Journal of Non-Linear Mechanics, Volume 95, October 2017, pp. 296-306, https://doi.org/10.1016/j.ijnonlinmec.2017.07.007
Hu Z., Wang X., Zheng G. (2017) Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform. In: Kerschen G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham
Li-Qun Chen, and Tian Chen Yuan, Nonparametric Identification of a Nonlinear Piezoelectric Vibration Energy Harvester, ENOC 2017, June25 – 30, 2017, Budapest, Hungary
Mingjie Zhang, Fuyou Xu, Xuyong Ying, Experimental Investigations on the Nonlinear Torsional Flutter of a Bridge Deck, 2017, Journal of Bridge Engineering, Vol. 22, Issue 8.
Juan P. Amezquita-Sanchez, Hyo Seon Park, Hojjat Adeli, A novel methodology for modal parameters identification of large smart structures using MUSIC, empirical wavelet transform, and Hilbert transform, Engineering Structures, Volume 147, 15 September 2017, Pages 148-159, ISSN 0141-0296, https://doi.org/10.1016/j.engstruct.2017.05.054.
Deyan Zheng and Yonggui Dong, Impedance Nonlinearity Measurement of Interdigital Electrode-Solution System by Free Damped Oscillation, IEEE SENSORS JOURNAL, VOL. 17, NO. 9, MAY 1, 2017
Munir, N.; Rehman, A.U.; Qazi, F.D.3, Tracking of non-linearity growth caused by imbalance using Hilbert transform, Insight: Non-Destructive Testing and Condition Monitoring. (Insight: Non-Destructive Testing and Condition Monitoring, January 2017, 59(1):32-37)
V. Ondra, I.A. Sever, C.W. Schwingshackl, A method for detection and characterisation of structural non-linearities using the Hilbert transform and neural networks, Mechanical Systems and Signal Processing, Volume 83, 15 January 2017, Pages 210-227, ISSN 0888-3270, http://dx.doi.org/10.1016/j.ymssp.2016.06.008.
H. Chouiyakh, L. Azrar, K. Alnefaie, O. Akourri, Vibration and multi-crack identification of Timoshenko beams under moving mass using the differential quadrature method, International Journal of Mechanical Sciences, Volume 120, January 2017, Pages 1-11, ISSN 0020-7403, http://dx.doi.org/10.1016/j.ijmecsci.2016.11.014. (http://www.sciencedirect.com/science/article/pii/S002074031630786X)
Zuo-Cai Wang, Yu Xin, Wei-Xin Ren, Nonlinear structural joint model updating based on instantaneous characteristics of dynamic responses, Mechanical Systems and Signal Processing, Volume 76, 2016, Pages 476-496, ISSN 0888-3270, http://dx.doi.org/10.1016/j.ymssp.2016.01.024.
V. Eremenko, I. Lysenko, A. Protasov, E. Suslov, Using Hilbert transform for signal processing in Mechanical impedance analysis 19th World Conference on Non-Destructive Testing (WCNDT 2016), 13-17 June 2016 in Munich, http://www.ndt.net/article/wcndt2016/papers/p172.pdf
Yumiao Wei, Yonggui Dong, Xianxiang Huang and Zhili Zhang, A Stepped Frequency Sweeping Method for Nonlinearity Measurement of Microresonators, Sensors 2016, 16(10), 1700; doi:10.3390/s16101700
Ning Zhang; Peng-cheng Li; Guo-dong Yin; Nan Chen; Yang Li, Application of hilbert transform in vehicle dynamics analysis, Vehicular Electronics and Safety (ICVES), 2016 IEEE International Conference on, DOI: 10.1109/ICVES.2016.7548164
Bae, S. H.; Cho, J. R.; Jeong, W. B., Free and transient responses of linear complex stiffness system by Hilbert transform and convolution integral, SMART STRUCTURES AND SYSTEMS, 2016, Volume: 17, Issue: 5, pp.: 753-771
Randall L. Mayes, Benjamin R. Pacini, Daniel R. Roettgen, A Modal Model to Simulate Typical Structural Dynamic Nonlinearity, Nonlinear Dynamics, Volume 4, Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016, pp. 57-76.
Jeremiah Williams, Application of the Hilbert Transform to Measure the Nonlinearity in the Driven Dust Acoustic Wave, IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 44, NO. 4, APRIL 2016, pp. 562-567, doi:10.1109/TPS.2015.2503344
Carlos A. Perez-Ramirez, Juan P. Amezquita-Sanchez, Hojjat Adeli, Martin Valtierra-Rodriguez, David Camarena-Martinez, Rene J. Romero-Troncoso, New methodology for modal parameters identification of smart civil structures using ambient vibrations and synchrosqueezed wavelet transform, Engineering Applications of Artificial Intelligence, Volume 48, February 2016, pp. 1–12, doi:10.1016/j.engappai.2015.10.005
Y.Deng, C.M. Cheng, Y. Yang, Z.K Peng, W.X Yang, W.M Zhang, Parametric Identification of Nonlinear Vibration Systems via Polynomial Chirplet Transform, Journal of Vibration and Acoustics, 2016. doi:10.1115/1.4033717
Y. Yang, Z. K. Peng, X. J. Dong, W. M. Zhang, G. Meng, Nonlinear time-varying vibration system identification using parametric time–frequency transform with spline kernel, Nonlinear Dynamics, 2016, DOI 10.1007/s11071-016-2786-1
N. Harish Chandra , A.S. Sekhar, Nonlinear damping identification in rotors using wavelet transform, Mechanism and Machine Theory, Volume 100, June 2016, pp. 170–183
Aldo Baccigalupi , Annalisa Liccardo, The Huang Hilbert Transform for evaluating the instantaneous frequency evolution of transient signals in non-linear systems, Measurement, Volume 86, May 2016, pp. 1–13
Michael Feldman, Simon Braun, Nonlinear vibrating system identification via Hilbert decomposition, Mechanical Systems and Signal Processing (2017), pp. 65-96 DOI information: 10.1016/j.ymssp.2016.03.015 
PDF: 2.7MB
Michael Feldman, Yaron Zimmerman, Michael Gissin and Izhak Bucher, Identification and modeling of contact dynamics of precise direct drive stages, Journal of Dynamic Systems, Measurement, and Control, 2016;138(7):071001-071001-10. doi:10.1115/1.4033017.
Bin Tang, M.J. Brennan, G. Gatti, N.S. Ferguson, Experimental characterization of a nonlinear vibration absorber using free vibration, Journal of Sound and Vibration, Volume 367, 14 April 2016, Pages 159-169, ISSN 0022-460X, http://dx.doi.org/10.1016/j.jsv.2015.12.040.
Deaner, B. J., Allen, M. S., Starr, M. J., Segalman, D. J., and Sumali, H. (April 1, 2015). “Application of Viscous and Iwan Modal Damping Models to Experimental Measurements From Bolted Structures.” ASME. J. Vib. Acoust. April 2015; 137(2): 021012. https://doi.org/10.1115/1.4029074
Zahra Nourmohammadi, Sankha Mukherjee, Surabhi Joshi, Jun Song, and Srikar Vengallatore, Methods for Atomistic Simulations of Linear and Nonlinear Damping in Nanomechanical Resonators, JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL. 24, NO. 5, OCTOBER 2015, pp.1462- 1470
Guangzhong Gao, Ledong Zhu, Nonlinearity of mechanical damping and stiffness of a spring-suspended sectional model system for wind tunnel tests, Journal of Sound and Vibration, Volume 355, 27, 2015, Pages 369–391, doi:10.1016/j.jsv.2015.05.033
Yooil Kim, , Myung-Jin Park, Identification of the nonlinear roll damping and restoring moment of a FPSO using Hilbert transform, Ocean Engineering, Volume 109, 15 November 2015, Pages 381–388, doi:10.1016/j.oceaneng.2015.09.019
Zuo-Cai Wang, Yu Xin, Wei-Xin Ren, Nonlinear structural model updating based on instantaneous frequencies and amplitudes of the decomposed dynamic responses, Engineering Structures, Volume 100, 1 October 2015, pp. 189–200, doi:10.1016/j.engstruct.2015.06.002
Firsov G. I. Error Estimates for Computation of Instantaneous Characteristics of Free Vibrations of Dynamic Systems, Transactions of the TSTU, 2015, VOLUME 21, pp 22-28, Text of paper (rus), DOI: 10.17277/vestnik.2015.01.pp.022-028
Rene Kiefer, Ariane Schad, Wiebke Herzberg and Markus Roth, Determination of fundamental asteroseismic parameters using the Hilbert transform A&A 578, A56 (2015), DOI: http://dx.doi.org/10.1051/0004-6361/201425474
Arturo Gonza´lez and Hussein Aied, Characterization of non-linear bearings using the Hilbert–Huang transform, Advances in Mechanical Engineering, April, 2015, vol. 7, no. 4, pp. 1-28, doi: 10.1177/1687814015582120
Prawin, J., Rama Mohan Rao, A.,Time frequency analysis for nonlinear identification of structures, Journal of Structural Engineering (India), Volume 42, Issue 1, 1 April 2015, Pages 40-48
F. Majdoub, J. Perret-Liaudet, M. Belin, J.M. Martin, Decaying law for the free oscillating response with a pseudo-polynomial friction law: Analysis of a super low lubricated friction test, Journal of Sound and Vibration, 348 (2015), pp.263–281
Svetlin Stoyanov, ANALYTICAL AND NUMERICAL INVESTIGATION ON THE DUFFING OSCILATOR SUBJECTED TO A POLYHARMONIC FORCE EXCITATION, Journal of Theoretical and Applied Mechanics, Sofia, 2015, vol. 45, No. 1, pp.3–16
Julian M. Londono, Simon A. Neild, Jonathan E.Cooper, Identification of backbone curves of nonlinear systems from resonance decay responses, Journal of Sound and Vibration, 348(2015), pp.224–238.
M.J. Brennan, B. Tang, G. Gatti, Parameter Estimation for Systems with Cubic Stiffness Nonlinearity: Experimental and Theoretical Study, DINAME 2015 – Proceedings of the XVII International Symposium on Dynamic Problems of Mechanics, V. Steffen, Jr; D.A. Rade; W.M. Bessa (Editors), ABCM, Natal, RN, Brazil, February 22-27, 2015
Diego A. Aguirre and Luis A. Montejo, Damping and frequency changes induced by increasing levels of inelastic seismic demand, Smart Structures and Systems, volume 14, issue 3, 2014, Pages 445-468, DOI: 10.12989/sss.2014.14.3.419
Patrick O. Bowles, Thomas C. Corke, Dustin G. Coleman, Flint O. Thomas, and Mark Wasikowski. “Improved Understanding of Aerodynamic Damping Through the Hilbert Transform”, AIAA Journal, Vol. 52, No. 11 (2014), pp. 2384-2394. doi: 10.2514/1.J052630
Wonsuk Kim, Alan Argento, Pravansu S. Mohanty, Damping characteristics of a spray-deposited shape memory alloy beam, Journal of Sound and Vibration, Volume 333, Issue 15, 21 July 2014, Pages 3356-3366, ISSN 0022-460X, http://dx.doi.org/10.1016/j.jsv.2014.03.026
Chu Biao, Hamid Reza Karimi, Qing Gao, Yi Jin, and Changan Zhu, “Design and identification of the nano-feeding system for large gratings and echelles manufacturing”, Journal of Applied Mathematics, Hindawi Publishing Corporation, 2014
WU ZhiGang, YANG Ning & YANG Chao, Identification of nonlinear multi-degree-of freedom structures based on Hilbert transformation, SCIENCE CHINA, Physics, Mechanics & Astronomy, September 2014, Vol. 57 No. 9: 1725–1736, doi: 10.1007/s11433-013-5218-y
Jun Chen and Guanyu Zhao, Numerical and Experimental Investigation on Parameter Identification of Time-Varying Dynamical System Using Hilbert Transform and Empirical Mode Decomposition, Mathematical Problems in Engineering Volume 2014 (2014), Article ID 568637, 15 pages
Bertha, Mathieu and Golinval, Jean-Claude. Identification of a Time-varying Beam Using Hilbert Vibration Decomposition. In Proceedings of the International Modal Analysis Conference (IMAC) XXXII (Orlando 2014), The Society for Experimental Mechanics.
Kai Yang, Kaiping Yu, Qiaofeng Li, Modal parameter extraction based on Hilbert transform and complex independent component analysis with reference, Mechanical Systems and Signal Processing, Volume 40, Issue 1, 2013, Pages 257-268, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2013.05.003.
J.L. Zapico-Vallea, M. Garcia-Dieguezb, R. Alonso-Camblor, Nonlinear modal identification of a steel frame, Engineering Structures 56 (2013) 246-259
Yan Zhao, Xiaolin Zhang, Jun Wang, Wenyan Tang, Measurement of moment of inertia based on hilbert transform, Transactions of Tianjin University, June 2013, Volume 19, Issue 3, pp 225-230.
Wang, Z., Ren, W., and Chen, G. (2013). “Time-Varying Linear and Nonlinear Structural Identification with Analytical Mode Decomposition and Hilbert Transform.” J. Struct. Eng., 10.1061/(ASCE)ST.1943-541X.0000832
H. Kucukgoncu & K. Aydin (2013): Crack identification in beams using Hilbert transform, kurtosis and mode shape rotation deviation curve, Inverse Problems in Science and Engineering, DOI:10.1080/17415977.2013.764872
M. Feldman, Mapping nonlinear forces with congruent vibration functions, MSSP, 37(2013), pp. 315-337. PDF: 2.7MB
Guirong Yan, Alessandro De Stefano, Emiliano Matta, Ruoqiang Feng, A novel approach to detecting breathing-fatigue cracks based on dynamic characteristics, Journal of Sound and Vibration, Volume 332, Issue 2, 21 January 2013, Pages 407-422.
M. Feldman, Hilbert transform methods for nonparametric identification of nonlinear time varying vibration systems, MSSP, 47 (2014), pp. 66-77. PDF: 1.54MB
Mehmet Kurt, Heng Chen, Young S. Lee, D. Michael McFarland, Lawrence A. Bergman, Alexander F. Vakakis, Nonlinear system identification of the dynamics of a vibro-impact beam: numerical results, Archive of Applied Mechanics 2012, DOI: 10.1007/s00419-012-0678-5
Guirong Yan, Alessandro De Stefano and Ge Ou, A General Nonlinear System Identification Method Based upon Time-Varying Trend of Instanneous Frequencies and Amplitudes, Advances in Structural Engineering Vol. 15 No. 5 2012, pp.781-792
M. Feldman, Nonparametric identification of asymmetric nonlinear vibration systems with the Hilbert transform, Journal of Sound and Vibration. 331 (2012), pp. 3386-339. PDF: 0.9MB
Gang Sheng Chen, Duane Davis, J. Leroy Hulsey, Measurement of frozen soil-pile dynamic properties: A system identification approach. Cold Regions Science and Technology, Volume 70, January 2012, Pages 98-106
F. Consuegra and A. Irfanoglu, Variation of Small Amplitude Vibration Dynamic Properties with Displacement in Reinforced Concrete Structures, Experimental Mechanics, 2012, DOI: 10.1007/s11340-011-9590-0
M. Meissner, The discrete Hilbert transform and its application to the analysis of reverberant decay of modal vibrations in enclosures, Journal of Vibration and Control, 2012, vol. 18 no. 11, pp. 1595-1606
Tian Li Huang, Wei Xin Ren, Meng Lin Lou, Identification of MDOF Non-Linear Uncoupled Dynamical Systems Using Hilbert Transform and Empirical mode Decomposition Method, Advanced Materials Research, 2011, Volume: “Advances in Civil Engineering” (255-260), pp. 1676-1680.
Craig Meskell, A Decrement Method for Quantifying Nonlinear and Linear Damping in Multidegree of Freedom Systems. International Scholarly Research Network, ISRN Mechanical Engineering, 2011, Article ID 659484
Sumali, Hartono, and Rick A. Kellogg. Calculating Damping from Ring-Down Using Hilbert Transform and Curve Fitting. No. SAND2011-1960C. Sandia National Lab.(SNL-NM), Albuquerque, NM (United States), 2011.
G . Y . Yan , Z . S . Liu and A . D . Vrcelj, A novel nonlinear system identification based upon Hilbert Transform, Incorporating Sustainable Practice in Mechanics and Structures of Materials, Edited by Sujeeva Setunge, CRC Press, 2011, pp. 309-314.
M. Feldman, Hilbert Transform Applications in Mechanical Vibration, Wiley, 2011
Gang Sheng, Loulin Huang, Jen-Yuan (James) Chang, Jizhong He, Suanlin Duan, An approach for non-stationary and nonlinear vibration identification and control of active air-bearing slider system, Microsyst Technol (2011) 17:1123-1127.
Advanced Nonlinear Strategies for Vibration Mitigation and System Identification, Alexander F. Vakakis (Editor), Springer, 2011, 308 p.
Young S. Lee, Stylianos Tsakirtzis, Alexander F. Vakakis, Lawrence A. Bergman, D. Michael McFarland, A time-domain nonlinear system identification method based on multiscale dynamic partitions, Meccanica (2011) 46:625-649.
P. Frank Pai, Time-frequency characterization of nonlinear normal modes and challenges in nonlinearity identification of dynamical systems, Mechanical Systems and Signal Processing, Volume 25, Issue 7, 2011, pp. 2358-2374.
Si Mi Tang et al., Study on Dynamics of a Nonlinear Damping Absorber Coupled to the Linear System, 2011, Advanced Materials Research, Vols. 143-144, pp. 763-767.
Gang Sheng, Sensing and Identification of Nonlinear Dynamics of Slider with Clearance in Sub-5 Nanometer Regime Hindawi Publishing Corporation, Advances in Tribology, Volume 2011, Article ID 282839
M. Feldman, Hilbert transform in vibration analysis. Tutorial Review, Mechanical Systems and Signal Processing, Volume 25, Issue 3, 2011, pp. 735-802. PDF: 3,431KB
Jones, J.D., Pei, J.-S., Wright, J.P., Tull, M.P. Embedded EMD algorithm within an FPGA-based design to classify nonlinear SDOF systems. Proceedings of SPIE – The International Society for Optical Engineering, Volume 7647, 2010, Article number 76470E.
P. Frank Pai, Lu Huang, Jiazhu Hu, Dustin R. Langewisch Time-Frequency Analysis of Small Frequency Variations in Civil Engineering Structures Under Weak and Strong Motions Using a Reassignment Method. Structural Health Monitoring March 1, 2010 9: 159-171
Kragh, K.A., Thomsen, J.J., and Tcherniak, D. Experimental detection and quantification of structural nonlinearity using homogeneity and hilbert transform methods, Proceedings of the ISMA2010 International Conference on Noise and Vibration Engineering, 20-22 September, 2010, Leuven, Belgium
Jonathan D. Jones, and Jin-Song Pei. Embedded Algorithms Within an FPGA to Classify Nonlinear Single-Degree-of-Freedom Systems, IEEE SENSORS JOURNAL, VOL. 9, NO. 11, 2009, pp. 1486-1493.
Huageng Luo, Xingjie Fang, and Bugra Ertas, Hilbert Transform and Its Engineering Applications, AIAA JOURNAL, Vol. 47, No. 4, April 2009, DOI:10.2514/1.37649
D. S. Laila, M. Larsson, B. C. Pal, and P. Korba Nonlinear damping computation and envelope detection using Hilbert transform and its application to power systems wide area monitoring Power & Energy Society General Meeting, 2009. PES ’09. IEEE
Chunxiao Bao, Hong Hao, Zhong-Xian Li, Xinqun Zhu, Time-varying system identification using a newly improved HHT algorithm, Computers & Structures, Volume 87, Issues 23-24, 2009, pp. 1611-1623.
P. Franchetti, C. Modena. Nonlinear Damping Identification in Precast Prestressed Reinforced Concrete Beams, Computer-Aided Civil and Infrastructure Engineering 24 (2009) 577-592.
M. Feldman, I. Bucher and J. Rotberg. Experimental Identification of Nonlinearities under Free and Forced Vibration using the Hilbert Transform, Journal of Vibration and Control, 2009, 15(10), pp. 1563-1579. PDF: 746KB
Pai PF, Huang L, Hu J, Langewisch DR. Time-Frequency Method for Nonlinear System Identification and Damage Detection. STRUCTURAL HEALTH MONITORING-AN INTERNATIONAL JOURNAL, JUN 2008, Volume: 7, Issue: 2, Pages: 103-127.
Bugra H. Ertas, Huageng Luo, Nonlinear Dynamic Characterization of Oil-Free Wire Mesh Dampers. Journal of Engineering for Gas Turbines and Power, MAY 2008, Vol. 130 / 032503-(1-8).
Frank Pai, Anthony N. Palazotto, HHT-based nonlinear signal processing method for parametric and non-parametric identification of dynamical system, International Journal of Mechanical Sciences 50 (2008), pp. 1619–1635, doi:10.1016/j.ijmecsci.2008.10.001
R.O. Curadelli, J.D. Riera, D. Ambrosini, M.G. Amani. Damage detection by means of structural damping identification, Engineering Structures 30 (2008) pp.3497-3504.
P. Frank Paia and Anthony N. Palazotto. Detection and identification of nonlinearities by amplitude and frequency modulation analysis. Mechanical Systems and Signal Processing, Volume 22, Issue 5, July 2008, pp. 1107-1132.
X. Fang, H. Luo, J. Tang. Investigation of Granular Damping in Transient Vibrations Using Hilbert Transform Based Technique. J. Vib. Acoust. — June 2008 — Volume 130, Issue 3, 031006.
Petr Eret and Craig Meskell. A practical approach to parameter identification for a lightly damped, weakly nonlinear system. JOURNAL OF SOUND AND VIBRATION, 310 (2008) pp. 829 – 844.
J.D. Jones, J.-S. Pei, M. Tull. Embedded Hilbert Transform-based Algorithm Within a Field Programmable Gate Array to Classify Nonlinear SDOF Systems, Conference: 2008 IMAC-XXVI: Conference & Exposition on Structural Dynamics
Jin-Song Pei and Krisda Piyawat. Deterministic Excitation Forces for Simulation and Identification of Nonlinear Hysteretic SDOF Systems. JOURNAL OF ENGINEERING MECHANICS, ASCE, JANUARY 2008, pp. 35 – 48.
M. Feldman. Theoretical analysis and comparison of the Hilbert transform decomposition methods. Mechanical Systems and Signal Processing, 2008, Vol 22/3 pp. 509-519. PDF: 530KB
G. Kerschen, A.F. Vakakis, Y.S. Lee, D.M. McFarland, L.A. Bergman. Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics. Journal of Vibration and Control, 2008, Vol. 14, No. 1-2, pp. 77 – 105.
P. Frank Pai. Nonlinear vibration characterization by signal decomposition. Journal of Sound and Vibration, 307 (2007), pp. 527 – 544.
Z. Y. Shi, and S. S. Law. Identification of Linear Time-Varying Dynamical Systems Using Hilbert Transform and Empirical Mode Decomposition Method. Journal of Applied Mechanics — March 2007 — Volume 74, Issue 2, pp. 223-230.
C. W. Poon and C. C. Chang. Identification of nonlinear elastic structures using empirical mode decomposition and nonlinear normal modes. Smart Structures and Systems, Vol. 3, No. 4 (2007), pp. 423-437
Huageng Luo, Xingjie Fang, Darren Hallman, and Jiong Tang. Characterization of Granular Damper Using Hilbert Transform and Free Vibration Response. 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 23 – 26 April 2007, Honolulu, Hawaii
M. Feldman. Identification of weakly nonlinearities in multiple coupled oscillators. Journal of Sound and Vibration. 2007, Vol.303, pp. 357-370. PDF: 488MB
O. V. Gendelman, Y. Starosvetsky and M. Feldman. Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: Description of response regimes. Nonlinear Dynamics, 2007, p. . PDF: 752MB
M. Feldman. Considering High Harmonics for Identification of Nonlinear Systems by Hilbert Transform. Mechanical Systems and Signal Processing, 2007, Vol 21/2 pp 943-958. PDF: 781Mb
X. Q. Zhu and S. S. Law. Nonlinear Characteristics of Damaged Reinforced Concrete Beam from Hilbert-Huang Transform. J. Struct. Engrg., 2007, Volume 133, Issue 8, pp. 1186-1191.
M. Feldman M. Time-Varying Vibration Decomposition and Analysis Based on the Hilbert Transform. Journal of Sound and Vibration. 2006, Vol 295/3-5 pp. 518-530. PDF: 550Mb
Banfu Yan & Ayaho Miyamoto. A Comparative Study of Modal Parameter Identification Based on Wavelet and Hilbert-Huang Transforms. Computer-Aided Civil and Infrastructure Engineering 21 (2006) 9-23.
Tegoeh Tjahjowidodofi, Farid Al-Bender, Hendrik Van Brussel. Identification of Backlash in Mechanical Systems Experimental dynamic identification of backlash using skeleton methods Mechanical Systems and Signal Processing, 2007, 21, pp. 959-972.
Gaetan Kerschen, Keith Worden, Alexander F. Vakakis and Jean-Claude Golinval. Past, present and future of nonlinear system identification in structural dynamics. REVIEW ARTICLE, Mechanical Systems and Signal Processing, Volume 20, Issue 3, April 2006, Pages 505-592.
Manuel Andrade and A. R. Messina. Application of Hilbert Techniques to the Study of Subsynchronous Oscillations. International Conference on Power Systems Transients (IPST”05) in Montreal, Canada on June 19-23, 2005. Paper No. IPST05 – 172.
Silian Lin, Jann N Yang and Li Zhou. Damage identification of a benchmark building for structural health monitoring. Smart Mater. Struct. 14 (2005), s161 – 169.
Feldman M., Time-Varying And Non-Linear Dynamical System Identification Using The Hilbert Transform, Proceedings of ASME VIB 2005: 20th Biennial Conference on Mechanical Vibration and Noise, September 24-28, 2005 Long Beach, DETC2005-84644. PDF: 2.8Mb
E. Doukaa, L.J. Hadjileontiadis. Time-frequency analysis of the free vibration response of a beam with a breathing crack. NDT&E International 38 (2005) 3-10.
Jaideva C. Goswami., Albert E. Hoefel. Algorithms for estimating instantaneous frequency. Signal Processing 84 (2004) 1423-1427.
Baozhong Yang, C. Steve Suh. Interpretation ofcrack-induced rotor non-linear response using instantaneous frequency. Mechanical Systems and Signal Processing, 18 (2004), pp. 491-513.
Jann N. Yang; Ying Lei; Silian Lin; and Norden Huang. Identification of Natural Frequencies and Dampings of In Situ Tall Buildings Using Ambient Wind Vibration Data. JOURNAL OF ENGINEERING MECHANICS © ASCE / MAY 2004, pp. 570 – 577.
Andrade, M. A. Messina, A. R. Rivera, C. A. Olguin, D. Identification of Instantaneous Attributes of Torsional Shaft Signals Using the Hilbert Transform. Journal title IEEE TRANSACTIONS ON POWER SYSTEMS PWRS, 2004, VOL 19; PART 3, pp. 1422-1429
Yang, W-X; Hull, J B; Seymour, M D. A contribution to the applicability of complex wavelet analysis of ultrasonic signals NDT and E International. Vol. 37, no. 6, pp. 497-504. Sept. 2004
YING-CHENG LAI NONG YE. RECENT DEVELOPMENTS IN CHAOTIC TIME SERIES ANALYSIS. International Journal of Bifurcation and Chaos, Vol. 13, No. 6 (2003) 1383-1422
T. Kijewski & A. Kareem. Wavelet Transforms for System Identification in Civil Engineering. ComputerAided Civil and Infrastructure Engineering 18 (2003), 339–355
Authors: Tawfiq, I.; Vinh, T. Title: Contribution to the Extension of Modal Analysis to Non-Linear Structure Using Volterra Functional Series Journal: Mechanical Systems and Signal Processing, 2003, Volume 17, Issue 2, p. 379-407.
S T Quek, P S Tua and Q Wang. Detecting anomalies in beams and plate based on the Hilbert-Huang transform of real signals Smart Mater. Struct. 12 (2003) 447-460
Lili Wang, Jinghui Zhang, Chao Wang, Shiyue Hu. Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves. Transactions of the ASME, Vol. 125, APRIL 2003, 170-177.
Jann N. Yang, Ying Lei, Shuwen Pan and Norden Huang. System identification of linear structures based on Hilbert-Huang spectral analysis. Part 2: Complex modes. EARTHQUAKE ENGINEERING AND STRUCTURAL DYNAMICS, Earthquake Engng Struct. Dyn. 2003; 32:1533-1554 (DOI: 10.1002/eqe.288)
Jann N. Yang, Ying Lei, Shuwen Pan and Norden Huang. System identification of linear structures based on Hilbert-Huang spectral analysis. Part 1: normal modes. EARTHQUAKE ENGINEERING AND STRUCTURAL DYNAMICS, Earthquake Engng Struct. Dyn. 2003; 32:1443.1467 (DOI: 10.1002/eqe.287)
Stefan L. Hahn. On the uniqueness of the deffnition of the amplitude and phase of the analytic signal. Signal Processing 83 (2003) pp. 1815 – 1820.
Bruns, J.-U.; Lindner, M.; Popp, K. Identification of the Nonlinear Restoring Force Characteristic of a Rubber Mounting. PAMM · Proc. Appl. Math. Mech. 2, 270-271 (2003)
Gerard Girolami and David Vakman. Instantaneous frequency estimation and measurement: a quasi-local method. Meas. Sci. Technol. 13 (2002) 909-917 PII: S0957-0233(02)30969-X
Ghen, J; Xu, Y L. Identification of modal damping ratios of structures with closely spaced modal frequencies. Structural Engineering and Mechanics. Vol. 14, no. 4, pp. 417-434. Oct. 2002
Min Sig Kang, A.B. Stanbridge, Tae Gyu Chang, and Ho Seong Kim. MEASURING MODE SHAPES WITH A CONTINUOUSLY SCANNING LASER VIBROMETER – HILBERT TRANSFORM APPROACH. Mechanical Systems and Signal Processing, v 16, n 2-3, March, 2002, p 201-210.
Liu, C. and Goetchius, G., Estimation Of Damping Loss Factors By Using The Hilbert Transform And Exponential Average Method, SAE Technical Paper 2001-01-1408, 2001, doi:10.4271/2001-01-1408.
Ferhat Cakrak and Patrick J. Loughlin. Multiwindow Time-Varying Spectrum with Instantaneous Bandwidth and Frequency Constraints. IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 49, NO. 8, AUGUST 2001, pp.1656-1666.
Authors: FEENY B.F.1; YUAN C.-M.2; CUSUMANO J.P.3. PARAMETRIC IDENTIFICATION OF AN EXPERIMENTAL MAGNETO-ELASTIC OSCILLATOR. Source: Journal of Sound and Vibration, Volume 247, Number 5, November 2001, pp. 785-806(22)
Wang L-l.; Zhang J-h. Identification of Nonlinear Dynamic Systems: Time-Frequency Filtering and Skeleton Curves, Applied Mathematics and Mechanics, olume 22, Number 2, February 2001, pp. 210-219(10)
Feldman M., Hilbert Transforms, in Encyclopedia of Vibration. New York: Academic, 2001, pp. 642-648.
CW Moloney, DM Peairs, ER Roldan. Characterization of damping in bolted lap joints. IMAC-XIX: A Conference on Structural Dynamics, Kissimmee, FL, 2001
Authors: BELLIZZI S.; GUILLEMAIN P.; KRONLAND-MARTINET R. IDENTIFICATION OF COUPLED NON-LINEAR MODES FROM FREE VIBRATION USING TIME-FREQUENCY REPRESENTATIONS. Source: Journal of Sound and Vibration, Volume 243, Number 2, May 2001, pp. 191-213(23).
Jingping Xu, Louis-Gilles Durand, and Philippe Pibarot. Nonlinear Transient Chirp Signal Modeling of the Aortic and Pulmonary Components of the Second Heart Sound IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, VOL. 47, NO. 7, JULY 2000, 1328-1325.
David Vakman. New high precision frequency measurement. Meas. Sci. Technol. 11 (2000) 1493-1497.
C. B. Smith; N. M. Wereley. Nonlinear Damping Identification from Transient Data AIAA Journal 1999. 0001-1452 vol.37 no.12 (1625-1632)
Huang-Norden-E; Shen-Zheng; Long-Steven-R. New view of nonlinear water waves: The Hilbert spectrum Annual-Review-of-Fluid-Mechanics. v 31 1999, p 417-457. PDF: 1.2Mb
D.E. Adams, R.J. Allemang, Survey of nonlinear detection and identification techniques for experimental vibrations structural dynamic model through feedback, in: Proceedings of the International Seminar on Modal Analysis (ISMA), Leuven, 1998, pp. 269-281 (Sections 1, 4.1; Introduction Section 3).
Wonchul Nho and Patrick J. Loughlin. When Is Instantaneous Frequency the Average Frequency at Each Time? IEEE SIGNAL PROCESSING LETTERS, VOL. 6, NO. 4, APRIL 1999, pp. 78-80.
Balasubramaniam Santhanam and Petros Maragos. Energy Demodulation of Two-Component AM-FM Signal Mixtures. IEEE SIGNAL PROCESSING LETTERS, VOL3, N11, NOVEMBER 1996, pp. 294-297.
Chen-JT; You-DW. Integral-differential equation approach for the free vibration of a SDOF system with hysteretic damping Advances-in-Engineering-Software-30-1. Jan 1999, p 43-48.
Feldman M., Seibold S. Damage diagnosis of rotors: application of Hilbert-transform and multi-hypothesis testing. Journal of Vibration and Control, 1999, 5, p 421-445 PDF: 927K
Huang NE, Shen Z, Long SR, Wu ML, Shih HH, et al 1998. The Empirical Mode Decomposition and Hilbert Spectrum for Nonlinear And Nonstationary Time Series Analysis. Proc. R. Soc. London, Ser. A 454:903–95
B.-K. Bae and K.-J. Kim A HILBERT TRANSORM APPROACH IN SOURCE IDENTIFICATION VIA MULTIPLE-INPUT SINGLE-OUTPUT MODELING FOR CORRELATED INPUTS Mechanical Systems and Signal Processing, v 12, n 4, Jul 1998, p 501-513
Lai YC Analytic signals and the transition to chaos in deterministic flows PHYS REV E 58: (6) R6911-R6914 Part A DEC 1998
Arnulfi, G.L.; Ghiglino, F.L.; Massardo, A.F. Comparison between complete Hilbert Transform and simplified solutions of the Moore rotating stall model, Journal of Turbomachinery, Transactions of the ASME, Volume 120, Issue 3, July 1998, Pages 446-453
Kumaresan-Ramdas; Rao-Ashwin Unique positive FM-AM decomposition of signals Multidimensional-Systems-and-Signal-Processing. v 9 n 4 Oct 1998, p 411-418.
Baxter-Robert-A; Quatieri-Thomas-F AM-FM separation using shunting neural networks Proceedings-of-the-IEEE-SP-International-Symposium-on-Time-Frequency-and-Time-Scale-Analysis. 1998, IEEE, Piscataway, NJ, USA, 98TH8380. p 553-556.
Kendig-RP Algorithm to count fatigue cycles Proceedings-National-Conference-on-Noise-Control-Engineering.v 1 1997, Inst of Noise Control Engineering, Poughkeepsie, NY, USA. p 531-536.
Kim-Do-nyeon; Cha-Ill-whan; Youn-Dae-hee Estimation of time-varying magnitude squared coherence functions Trends-in-Information-Systems-Engineering-and-Wireless-Multimedia-Communications Proceedings-of-the-International-Conference-on-Information, Communications-and-Signal-Processing, ICICS.v 3 1997, IEEE, Piscataway, NJ, USA. p 1389-1392.
Rao-A; Kumaresan-R Parametric modeling approach to Hilbert transformation IEEE-Signal-Processing-Letters.v 5 n 1 Jan 1998, p 15-17.
Perry-P; Brazil-TJ Hilbert-transform-derived relative group delay IEEE-Transactions-on-Microwave-Theory-and-Techniques.v 45 n 8 pt 1 Aug 1997, p 1214-1225.
Mikhailishin, V.Yu.; Yavorskii, I.N. Narrowband nonstationary random processes Radiotekhnika i Elektronika, vol.42, no.5, p. 596-605 TRANSLATED IN: Journal of Communications Technology and Electronics, 1997, vol.42, no.5, p. 548-57
Fault detection on radial and meshed transmission systems using fast Hilbert transform Sharaf-AM; El-Sharkawy-RM; Talaat-HEA; Badr-MAL Electric-Power-Systems-Research.v 41 n 3 Jun 1997, p 185-190.
Analysis of nonstationary signals Gade-Svend; Gram-Hansen-Klaus S-V-Sound-and-Vibration.v 31 n 1 Jan 1997, p 40-46.
Random vibration analysis of a nonlinear system using the Volterra series Worden-K; Manson-G Proceedings-of-the-International-Modal-Analysis-Conference-IMAC.v 1 1997, SEM, Bethel, CT, USA. p 1003-1011.
Representation of the harmonic response in the complex plane for modal parameter identification Spina-D; Valente-C Proceedings-of-the-International-Modal-Analysis-Conference-IMAC.v 1 1997, SEM, Bethel, CT, USA. p 57-63.
Classification of nonlinearities using neural networks Wardle-R; Worden-K; King-NE Proceedings-of-the-International-Modal-Analysis-Conference-IMAC.v 1 1997, SEM, Bethel, CT, USA. p 980-986.
Glottal-to-noise excitation ratio – a new measure for describing pathological voices Michaelis-D; Gramss-T; Strube-HW Acta-Acustica-(Stuttgart).v 83 n 4 Jul-Aug 1997, p 700-706.
Natural frequencies and dampings identification using wavelet transform: application to real data Ruzzene-M; Fasana-A; Garibaldi-L; Piombo-B Mechanical-Systems-and-Signal-Processing.v 11 n 2 Mar 1997, p 207-218.
AM-FM separation using auditory-motivated filters Quatieri-Thomas-F; Hanna-Thomas-E; O’-Leary-Gerald-C IEEE-Transactions-on-Speech-and-Audio-Processing.v 5 n 5 Sep 1997, p 465-480.
Hilbert-transform spectral analysis of millimeter- and submillimeter-wave radiation with high T sub c Josephson junctions Divin-Yuri-Y; Pavlovskii-Valery-V; Volkov-Oleg-Y; Schulz-Heiko; Poppe-Ulrich; Klein-Norbert; Urban-Knut IEEE-Transactions-on-Applied-Superconductivity.v 7 n 2 pt 3 June 1997, p 3426-3429.
Spectral analysis of waves on the ocean surface using high resolution time frequency representations Grassin-S; Garello-R IEE-Conference-Publication.n 439 1997, IEE, Stevenage, Engl. p 153-159.
New algorithm for the reconstruction of bandlimited functions and their Hilbert transform Boche-Holger; Protzmann-Marcus IEEE-Transactions-on-Instrumentation-and-Measurement.v 46 n 2 Apr 1997, p 442-444.
Advanced machine diagnostics Randall-RB Shock-and-Vibration-Digest.v 29 n 1 Jan-Feb 1997, p 6-30.
Multiple-target frequency-modulated continuous-wave ranging by evaluation of the impulse response phase Stolle-Reinhard; Schiek-Burkhard IEEE-Transactions-on-Instrumentation-and-Measurement.v 46 n 2 Apr 1997, p 426-429.
Gottlieb O., Feldman M. Application of a Hilbert Transform-Based Algorithm for Parameter Estimation of a Nonlinear Ocean System Roll Modell. Journal of Offshore Mechanics and Arctic Engineering. ASME, 1997, v 119, n4, p 239-243
Feldman M. Non-Linear Free Vibration Identification via the Hilbert Transform. Journal of Sound and Vibration. v 208, n 3, December 4, 1997, p475-489 PDF: 247K
Features of a combined FFT and Hilbert transform for phase Doppler signal processing Lehmann-Peter; Schombacher-E-Hanno Measurement-Science-and-Technology.v 8 n 4 Apr 1997, p 409-421.
J. F. Toland. A Few Remarks about the Hilbert Transform. Journal of Functional Analysis, v 145, n 1, April 1, 1997, p 151-174, (ID FU963017)
D. Brie, M. Tomczak, H. Oehlmann, A. Richard. GEAR CRACK DETECTION BY ADAPTIVE AMPLITUDE AND PHASE DEMODULATION. Mechanical Systems and Signal Processing, v 11, n 1, January, 1997, p149-167
Hysteretic damping revisited Chen-JT; You-DW Advances-in-Engineering-Software.v 28 n 3 Apr 1997, p 165-171.
S. Braun and M. Feldman. TIME-FREQUENCY CHARACTERISTICS OF NON-LINEAR SYSTEMS. Mechanical Systems and Signal Processing, v 11, n 4, July 1997, p 611-620 PDF: 218K
Title Complex envelope displacement analysis: a quasi-static approach to vibrations. Author(s) Carcaterra, A. Sestieri, A. Journal Info Journal of sound and vibration. MAR 27 1997 v 201 n 2
M.G. Rosenblum and J. Kurths, Analysing Synchronization Phenomena from Bivariate Data by Means of the Hilbert Transform, in: “Nonlinear Analysis of Physiological Data”, Edited by H. Kantz, J. Kurths, and G. Mayer–Kress. Springer Series for Synergetics, (Springer, Berlin, 1998), pp. 91-99
A.S. Pikovsky, M.G. Rosenblum, G.V. Osipov, and J. Kurths, Phase Synchronization of Chaotic Oscillators by External Driving, Physica D, 104 (3-4), pp. 219-238, 1997.
Feldman M., Braun S. Description of free responses of SDOF systems via the phase plane and Hilbert transform: the concepts of envelope and instantaneous frequency. Proc. of the XV Int. Modal Analysis Conf., Orlando, Florida, 1997, 973-979 pp.
Feldman M., Vibration analysis of non-symmetric elastic force systems via the Hilbert transform Proc. of the XV Int. Modal Analysis Conf., Orlando, Florida, 1997, 1017-1022 pp.
Stefan L. Hahn. Hilbert Transforms In Signal Processing. Artech House, 1996, 305 pp.
A Comparison of Two Techniques for the Interpolation/Extrapolation of Frequency Domain Responses Sharath Narayana,Tapan K. Sarkar,Raviraj Adve,Michael Wicks,Vincent Vannicola Digital Signal Processing, v 6, n 1, January 1996, p 51-67, (ID SP960006)
TI- On the amplitude- and frequency-modulation decomposition of signals AU- Loughlin, Patrick J.; Tacer, Berkant SO- Journal of the Acoustical Society of America v 100 n 3 Sep 1996. p 1594-1601 PY- 1996
Digital Hilbert transform for processing of laser Doppler vibrometer signals, pp.89-96 Author(s): V.A. Grechikhin, Moscow Power Engineering Institute, Moscow, Russia; Bronius S. Rinkevichius, Moscow Power Engineering Institute, Moscow, Russia. Second International Conference on Vibration Measurements by Laser Techniques: Advances and Applications ISBN: 0-8194-2264-9, 588 pages. Published 1996 Meeting Date: 10/16 – 10/18/96, Washington, DC, USA SPIE Proceedings Vol. 2868
Transient analysis for damping identification in rotating composite beams with integral damping layers Smith-Clifford-B; Wereley-Norman-M Smart-Materials-and-Structures.v 5 n 5 Oct 1996, p 540-550.
D.Spina, C.Valente, G.R.Tomlinson. A New Procedure for Detecting Nonlinearity from Transient Data Using the Gabor Transform. Nonlinear Dynamics, 11 1996, pp. 235-254
Analysis of nonlinear system using NARMA models Loh-Ch-H; Duh-J-Y Structural-Engineering-Earthquake-Engineering.v 13 n 1 Apr 1996, p 11s-21s.
TI- Comparison between complete Hilbert transform and simplified solutions of the Moore rotating stall model AU- Arnulfi, Gianmario L.; Ghiglino, Fabio L.; Massardo, Aristede F. SO- American Society of Mechanical Engineers (Paper) 1996. ASME, New York, NY, USA. 9pp 96-GT-140 PY- 1996
TI- Instantaneous phase shift estimation methods AU- Zielinski, Tomasz P. SO- Conference Record – IEEE Instrumentation and Measurement Technology Conference v 1 1996. IEEE, Piscataway, NJ, USA,96CB35936. p 162-167 PY- 1996
Title The Hilbert Transform of the Product a(t)cos(omega ot + phi o). Author(s) Hahn, S.L. Journal Info Bulletin of the polish academy of sciences. tec 1996 v 44 n 1
Title A wavelet-based algorithm for the Hilbert transform. Author(s) Dishan, Huang Journal Info Mechanical systems and signal processing. MAR 01 1996 v 10 n 2 Mar 1996. p 125-134
P.Ch. Ivanov, M.G. Rosenblum, C.-K. Peng, J. Mietus, S. Havlin, H.E. Stanley, and A. L. Goldberger, Scaling Behavior of Heartbeat Intervals Obtained by Wavelet-Based Time Series Analysis, Nature, 383, pp. 323-327, 1996.
P. Tass, J. Kurths, M.G. Rosenblum, G. Guasti, and H. Hefter, Delay Induced Transitions in Visually Guided Movements, Physical Review E, 54 (3), pp. R2224-R2227, 1996.
M.G. Rosenblum, A.S. Pikovsky and J. Kurths, Phase Synchronization of Chaotic Oscillators, Physical Review Letters, 76, pp. 1804-1807, 1996.
Interpolation/extrapolation of frequency domain responses using the Hilbert transform Narayana-Sharath-M; Rao-Girish; Adve-Raviraj; Sarkar-Tapan-K; Vannicola-Vincent-C; Wicks-Michael-C; Scott-Steven-A IEEE-Transactions-on-Microwave-Theory-and-Techniques.v 44 n 10 pt 1 Oct 1996, p 1621-1626.
Braun S., Feldman M., Grushkevich A. Identification of electromagnetic damping force for a rotating system. Proc. of the XIV Int. Modal Analysis Conf., Dearborn, Michigan, USA, 1996, pp.
Modified Hilbert transform and its application to self potential interpretation Sundararajan-N; Srinivas-Y Journal-of-Applied-Geophysics.v 36 n 2-3 Dec 1996, p 137-143.
Improved arrival time detection for cardiac pulse transit sonomicrometry Davis-JW Computers-in-Cardiology.1996, IEEE, Los Alamitos, CA, USA,96CB36012. p 145-148.
Use of adaptive Hilbert transformation for EEG segmentation and calculation of instantaneous respiration rate in neonates Arnold-Matthias; Doering-Axel; Witte-Herbert; Dorschel-Jens; Eisel-Michael Journal-of-Clinical-Monitoring.v 12 n 1 Jan 1996, p 43-60.
Method for determining high-resolution activation time delays in unipolar cardiac mapping Shors-Stephanie-M; Sahakian-Alan-V; Sih-Haris-J; Swiryn-Steven IEEE-Transactions-on-Biomedical-Engineering.v 43 n 12 Dec 1996, p 1192-1196.
Title An innovative application of the Hilbert transform to time delay estimation of overlapped ultrasonic echoes. Author(s) Audoin, B. Roux, J. Journal Info Ultrasonics. MAR 01 1996 v 34 n 1
TI- Circumventing space sampling limitations in mechanical vibrations AU- Sestieri, Aldo; Carcaterra, Antonio SO- Meccanica v 31 n 2 Apr 1996. p 163-176 PY- 1996
Time-domain analysis of linear hysteretic damping Inaudi-Jose-A; Makris-Nicos Earthquake-Engineering-and-Structural-Dynamics.v 25 n 6 Jun 1996, p 529-545.
TI- Stochastic response of systems with linear hysteretic damping AU- Spencer, B.F. Jr.; Bergman, L.A. SO- Proceedings of Engineering Mechanics v 2 1996. ASCE, New York, NY, USA. p 677-680 PY- 1996
TI- Dynamic sub-structure method in time domain using analytical representation of dynamic stiffness of soil AU- Yoshida, Nagayuki SO- Proceedings of Engineering Mechanics v 1 1996. ASCE, New York, NY, USA. p 184-187 PY- 1996
TI- Digital signal processing – it’s not just FFTs anymore AU- Porter, Michael L. SO- Personal Engineering and Instrumentation News v 13 n 3 Mar 1996. p 38-46 PY- 1996
Gottlieb O., Feldman M., Yim S.C.S. Parameters identification of Nonlinear ocean mooring systems using the Hilbert transform. Journal of offshore mechanics and Arctic engineering. ASME, 1996, v 118, n 1, p.29
J.M.H.Peters. A beginner’s guide to the Hilbert transform. Int. J. Math. Educ. Sci. Technology., 1995, Vol. 26, No. 1 pp. 107-110
I.I. Blekhman, P.S. Landa and M.G. Rosenblum, Synchronization and Chaotization in Interacting Dynamical Systems, Applied Mechanics Reviews, 48 (11), pp. 733-752, 1995.
Lokenath Debnath Integral Transforms and Their Applications. CRC Press, Inc. 1995, 480 pp., ISBN: 0-8493-9458-9
Feldman M., Braun S. Diagnostics of nonlinear vibration systems on the basis of the Hilbert transform. Proc. of the ASME Fifteenth Biennial Conference on Mechanical Vibration and Noise Conf., Boston, Massachusetts, 1995, V. 3, 1241-1248 pp.
Feldman M., Braun S. Non-linear spring and damping forces estimation during free vibration. Proc. of the ASME Fifteenth Biennial Conference on Mechanical Vibration and Noise Conf., Boston, Massachusetts, 1995, V 3, 1241-1248 pp.
Feldman M., Braun S. Non-stationary vibration analysis by using the Hilbert transform. Proc. of the Vibration and Noise ’95 Conf., Venecia, Italy, 1995, pp. 465-475
Feldman M., Braun S. Identification of non-linear system parameters via the instantaneous frequency: application of the Hilbert transform and Wigner Ville techniques. Proc. of the XIII Int. Modal Analysis Conf., Nashville, Tennessee, 1995, 637-642 pp.
Feldman M., Braun S. Processing for instantaneous frequency of 2-component signal: the use of the Hilbert transform. Proc. of the XIII Int. Modal Analysis Conf., Nashville, Tennessee, 1995, 776-781 pp.
Feldman M., Ben-Haim Y. Experimental investigation of lap-joint dynamics. Proc. of the XIII Int. Modal Analysis Conf., Nashville, Tennessee, 1995, 1826-1831 pp.
TI- On the time domain analysis of viscoelastic models with complex coefficients AU- Makris, Nicos SO- Proceedings of Engineering Mechanics v 2 1995. ASCE, New York, NY, USA. p 1219- 1222 PY- 1995
TI- Linear hysteretic damping and the Hilbert transform AU- Inaudi, Jose A.; Kelly, James M. SO- Journal of Engineering Mechanics v 121 n 5 May 1995. p 626-632 PY- 1995
TI- Analysis of 3-D analytic signal AU- Mohan, N.L.; Anand Babu, L. SO- Geophysics v 60 n 2 Mar-Apr 1995. p 531-536 PY- 1995
AUTHOR(S): P D Spanos, S M Miller. TITLE: Hilbert transform generalization of a classical random vibration integral. Source: Journal of Applied Mechanics – Transactions of the ASME 61: 3 (SEP 1994) Page(S) 575-581
author = “Andrew Reilly and Gordon Frazer and Boualem Boashash”, title = “Analytic signal generation—tips and traps”, year = 1994, journal = “IEEE Transactions on Signal Processing”, number = 11, volume = 42, month = “November”, pages = “3241-3245”
AUTHOR(S): M. Feldman. TITLE: Non-linear system vibration analysis using Hilbert transform — I. Free vibration analysis method “FREEVIB”. Mechanical Systems and Signal Processing, 1994, 8(2), pp. 119-127 PDF: 242K
AUTHOR(S): M. Feldman. TITLE: Non-linear system vibration analysis using Hilbert transform — II. Forced vibration analysis method “FORCEVIB”. Mechanical Systems and Signal Processing, 1994, 8(3), pp. 309-318 PDF: 310K
TI- Time-frequency analysis of 24-hour heart rate fluctuation for the characterization of very low-frequency component AU- Chan, Hsiao-Lung; Lin, Jiunn-Lee; Du, Chao-Cheng; Wu, Chien-Ping SO- Annual International Conference of the IEEE Engineering in Medicine and Biology Society – Proceedings v 16 n pt 2 1994. IEEE, Piscataway, NJ, USA,94CH3474-4. p 1250-1251 PY- 1994
AUTHOR(s): Nyamsi, R.G. Mbu Aubin, T. Bremond, J.C. TITLE(s): On the Extraction of Some Time Dependent Parameters of an Acoustic Signal by Means of the Analytic Signal Concept. Its Application to Animal Sound Study. In: Bioacoustics. 1994 v 5 n 3 Page: 187
AUTHOR(s): Nayfeh, A. H. Nayfeh, S. A. TITLE(s): On Nonlinear Modes of Continuous Systems. In: Journal of vibration and acoustics. JAN 01 1994 v 116 n 1 Page: 129
AUTHOR(s): Lim, T.C. Singh, R. TITLE(s): Vibration transmission through rolling element bearings, part V: effect of distributed contact load on roller bearing stiffness matrix. In: Journal of sound and vibration. JAN 27 1994 v 169 n 4 Page: 547
Title A comparison of the energy operator and the Hilbert transform approach to signal and speech demodulation. Author(s) Potamianos, A. Maragos, P. Journal Info Signal processing. MAY 01 1994 v 37 n 1
AUTHOR(S): A Grennberg, M Sandell TITLE: Estimation of subsample time delay differences in narrowband ultrasonic echoes using the Hilbert transform correlation Source: IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control 41: 5 (SEP 1994) Page(s) 588-595
AUTHOR(s): Krodkiewski, J.M. Ding, J. Zhang, N. TITLE(s): Identification of unbalance change using a non-linear mathematical model for multi-bearing rotor systems. In: Journal of sound and vibration. FEB 03 1994 v 169 n 5 Page: 685
Braun S., Feldman M. Decomposition of double-component vibration signals. Proc. of the 25th Israel conf. on mechanical engineering, Technion, 1994, pp.700-702
Gottlieb O., Feldman M., Yim S.C.S., Braun S., Estimation of non-linear ocean mooring system parameters via the Hilbert transform. Proc. of the 25th Israel conf. on mechanical engineering, Technion, 1994, pp.393-395
Feldman M., Braun S. Non-linear vibration analysis of a robot arm. Proc. of the XII Int. Modal Analysis Conf., Honolulu, Hawaii, 1994, 1692-1697 pp.
AUTHOR(s): Shaw, S. W. Pierre, C. TITLE(s): Normal Modes of Vibration for Non-linear Continuous Systems. In: Journal of sound and vibration. JAN 20 1994 v 169 n 3 Page: 319
AUTHOR(S): N Aydin, DH Evans Title: Implementation of directional Doppler techniques using a digital signal processor Source: Medical & Biological Engineering & Computing 32: 4 Suppl. (JUL 1994) Page(s) S157-S164
N.E.King, K.Worden. An expansion technique for calculating Hilbert transform. Proc. of 5th Int. conf. on Recent Advances in Structural Dynamics. Southapton,1994,
TI- Hilbert transform of a constant envelope signal using the time-warping technique AU- Wulich, Dov SO- Signal Processing v 31 n 1 Mar 1993. p 97-101 PY- 1993
AUTHOR(s): Pyati, J.V. TITLE(s): Comment on “On the Use of Hilbert Transform for Processing Measured CW Data”. In: Ieee transactions on electromagnetic compatibili NOV 01 1993 v 35 n 4 Page: 485
AUTHOR(s): Ries, S. TITLE(s): Reconstruction of real and analytic band-pass signals from a finite number of samples. In: Signal processing. SEP 01 1993 v 33 n 3 Page: 237
AUTHOR(s): Barnes, Arthur E. TITLE(s): When the concepts of spectral frequency and instantaneous frequency converge. In: The Leading edge. OCT 01 1993 v 12 n 10 Page: 1020
AUTHOR(s): Gimenez. G. Cachard, C. Vray, D. TITLE(s): Use of the instantaneous frequency to investigate the time-dependent velcoity of a continuously insonified target. In: Signal processing. JUL 01 1993 v 33 n 1 Page: 57
AUTHOR(s): Peleg, S. Porat, B. Friedlander, B. TITLE(s): The Achievable Accuracy In Estimating the Instantaneous Phase and Frequency of a Constant Amplitude Signal. In: IEEE transactions on signal processing : a publ JUN 01 1993 v 41 n 6 Page: 2216
AUTHOR(s): Sun, M. Sclabassi, R. J. TITLE(s): Discrete-Time Instantaneous Frequency and Its Computation. In: IEEE transactions on signal processing : a publ MAY 01 1993 v 41 n 5 Page: 1867
AUTHOR(s): Lovell, B.C. Williamson, R.C. Boashash, B. TITLE(s): The Relationship Between Instantaneous Frequency and Time-Frequency Representations. In: IEEE transactions on signal processing : a publ MAR 01 1993 v 41 n 3 Page: 1458
Feldman M., Braun S. Analysis of typical non-linear vibration systems by using the Hilbert transform. Proc. of the XI Int. Modal Analysis Conf., Kissimmee, Florida, 1993, 799-805 pp.
AUTHOR(s): Lin, Yang-Tai Sun, Te-Chang TITLE(s): Mode Superposition Analysis of Viscously Damped Nonlinear Structural Systems Using an Increment Algorithm. In: Journal of vibration and acoustics. OCT 01 1993 v 115 n 4 Page: 397
AUTHOR(s): Noor, Ahmed K. Hadian, M. Jafar Andersen, Carl M. TITLE(s): Hybrid Analytical Technique for Nonlinear Vibration Analysis of Thin-Walled Beams. In: Journal of engineering mechanics APR 01 1993 v 119 n 4 Page: 786
AUTHOR(s): Suzudo, Tomoaki. TITLE(s): Reactor noise analysis based on nonlinear dynamic theory – application to power oscillation. In: Nuclear science and engineering. FEB 01 1993 v 113 n 2 Page: 145
AUTHOR(s): Karakostas, G. Wu, Yumei TITLE(s): Oscillation in dynamical systems. In: Nonlinear analysis. 1993 v 20 n 3 Page: 269
M.G.Rosenblum. A Characteristic Frequency of Chaotic Dynamical System. Chaos, Solutions & Fractals, Vol. 3, No. 6, pp. 617-626, 1993
AUTHOR(s): Gao, Hujian Wu, Tsai-Wei TITLE(s): A note on the elastic contact stiffness of layered medium. In: Journal of materials research. DEC 01 1993 v 8 n 12 Page: 3229-3232
SANJIT K. MITRA and JAMES F. KAISER. HANDBOOK FOR DIGITAL SIGNAL PROCESSING. WILEY-INTERSCIENCE, 1993 P. 1268
AUTHOR(s): Pharr, G.M. Oliver, W.C. Brotzen, F.R. TITLE(s): On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. In: Journal of materials research. MAR 01 1992 v 7 n 3 Page: 613
Brancaleoni,F., Spina, D. and Valente, C., A free oscillation based technique for the identification of nonlinear dynamic systems. Computational and Applied Mathematics, I. Algorithms and Theory. Papers from the IMACS 13th World Congress, Dublin, Ireland, Elsevier, 1992, 47-54 pp
B.C. Lovell and R.C. Williamson The Statistical Performance of Some Instantaneous Frequency Estimators IEEE Transactions on Signal Processing 40(7) 1708-1723 1992
AUTHOR(s): Setio, S. Setio, H.D. Jezequel, L. TITLE(s): A method of non-linear modal identification from frequency response tests. In: Journal of sound and vibration. NOV 08 1992 v 158 n 3 Page: 497
TI- Nonstationary response of structures with closely spaced frequencies. AU- Xu, Kangming; Igusa, Takeru SO- Journal of Engineering Mechanics v 118 n 7 Jul 1992 p 1387-1405 PY- 1992
P.J. Kootsookos B.C. Lovell B. Boashash A Unified Approach to the STFT, TFDs and Instantaneous Frequency IEEE Transactions on Signal Processing 40 1971-1982 IEEE 1992
B. Boashash Estimating and Interpreting the Instantaneous Frequency — Part 1: Fundamentals Proceedings of the IEEE 80(4) 520-538 IEEE 1992
B. Boashash Estimating and Interpreting the Instantaneous Frequency — Part 2: Algorithms and Applications Proceedings of the IEEE 80(4) 540-568 IEEE 1992
AUTHOR(s): Tesche, F.M. TITLE(s): On the Use of the Hilbert Transform for Processing Measured CW Data. In: Ieee transactions on electromagnetic compatibili AUG 01 1992 v 34 n 3 p 1 Page: 259
TI- Impulse response identification of SDOF systems from time-truncated signals. AU- Agneni, A.; Crema, L. Balis; Paolozzi, A. SO- Proceedings of the International Modal Analysis Conference – IMAC v 1. Publ by Union Coll, Graduate & Continuing Studies, Schenectady, NY, USA. p 845-852 PY- 1991
TI- Application of the Hilbert transform to biomedical signal processing. AU- Svatosh, J. SO- Izvestiya VUZ: Radioelektronika v 34 n 11 Nov 1991 p 57-61 PY- 1991
Maragos, Petros; Quatieri, Thomas F.; Kaiser, James F. Speech nonlinearities, modulations, and energy operators. Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing – ICASSP 91 ( Toronto, Ont, Can ), 1991, v 1. pp. 421-424.
M.Feldman. Device and method for determination of vibration system modal parameters, Israel Patent # 098985, 1991
TI- Hilbert transform relations for complex signals. AU- Reddy, G. R.; Swamy, M. N. S. SO- Signal Processing v 22 n 2 Feb 1991 p 215-219 PY- 1991
K.Worden , G.R.Tomlinson. The high-frequency behaviour of frequency response functions and its effect on their Hilbert transform. Proc. of 8th IMAC, 1990, Florida, pp.121-127.
TI- Hilbert transform techniques for torsional vibration analysis. AU- Randall, R. B.; Luo, Deyang SO- Vibration and Noise-Measurement Prediction and Control National Conference Publication – Institution of Engineers, Australia n 90 pt 9. Publ by IE Aust, Barton, Aust. p 122-126 PY- 1990
TI- Relation between deviations in the frequency responses and the transient characteristics of linear systems. AU- Avdochenko, B. I.; Il’yushenko, V. N. SO- Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika) v 45 n 9 Aug 1990 p 87-92 PY- 1990
TI- Real-time analytic signal processor for ultrasonic nondestructive testing. AU- Duncan, Michael G. SO- IEEE Transactions on Instrumentation and Measurement v 39 n 6 Dec 1990. p 1024- 1029 PY- 1990
A. Agneni, L.Balis-Crema. Damping Measurements from Truncated Signals via Hilbert Transform. Mechanical Systems and Signal Processing, 1989, 3(1), pp.1-13
P. Adamopoulos, W. Fong , J.K. Hammond. Envelope and instantaneous phase characterisation of nonlinear system response. Proc. of the 6 IMAC, 1988, pp. 1365-1371.
R.T. Hudspeth, J.R. Medina. Wave group analysis by the Hilbert Transform. The 21st Coastal Engineering Conference CERC/ASCE, Costa del Sol-Malaga, Spain, June 1988, pp. 884-898
G.R. Tomlinson. Developments in the use of the Hilbert transform for detecting and quantifying non-linearity associated with frequency response functions. Mechanical Systems and Signal Processing (1987) 1(2), pp.151-171.
P. Davies, J.K. Hammond. The use of envelope and instantaneous phase methods for the response of oscillatory nonlinear systems to transients. Proc. of the 5th IMAC, 1987, v.II, pp.1460-1466
M.S. Feldman. Investigation of the natural vibrations of machine elements using the Hilbert transform. Soviet Machine Science. Allerton Press Inc. (1985), no 2, pp.44-47. PDF: 0.263MB
J.S. Bendat: The Hilbert Transform and Applications to Correlation Measurements, Bruel&Kjaer, 1985, BT0008
N. Thrane: The Hilbert Transform, Technical Review No. 3 1984, Bruel&Kjaer, BV 0015
M. Simon and G.R. Tomlinson. Use of the Hilbert transform in modal analysis of linear and non-linear structures. Journal of Sound and Vibration (1984) 96(4), pp.421-436.
L. Vainshtein, D. Vakman. Razdelenie Chastot v Teorii Kolebanii I Voln (Frequency separation in the theory of vibration and waves). Moscow, Nauka, 1983.