Instantaneous modal parameter identification based on parameter optimized variational mode decomposition

被引：0
|
作者：
Chen X. [1 ]
Shi Z. [1 ]
Zhao Z. [2 ]
机构：
[1] State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aeronautics, Nanjing University of Aeronautics and Astronautics, Nanjing
[2] Shanghai Aircraft Manufacturing Company, Limited, Commercial Aircraft Corporation of China, Limited, Shanghai
来源：
Hangkong Dongli Xuebao/Journal of Aerospace Power | 2024年 / 39卷 / 04期
关键词：
energy method; modal parameter identification; parameter optimization; polynomial chirplet transform; variational energy entropy; variational mode decomposition;
D O I：
10.13224/j.cnki.jasp.20220301
中图分类号：
学科分类号：
摘要：
In view of the problem of determining the modal number and quadratic penalty factor of variational mode decomposition (VMD)，a parameter optimization algorithm based on orthogonality index，energy ratio and variational energy entropy (VEE) was proposed. For the decomposed single component signal， the instantaneous frequency identification method based on polynomial chirplet transform (PCT) and the instantaneous damping ratio identification method based on energy method were developed. The simulation research of 3-DOF (degree of freedom) time-varying structure and the experimental research of time-varying steel beam were carried out. The results showed that the optimized VMD method can accurately separate the time-varying components of the multi-DOF system with strong anti-noise performance. The instantaneous frequency identification method based on PCT had strong time-varying frequency tracking performance， strong anti-noise ability， and high accuracy of time-varying frequency identification， and the average error was less than 1%. The energy method can accurately identify the instantaneous damping ratio of the structure with obvious anti-noise advantage，and the identification error was maintained at about 10%. © 2024 Beijing University of Aeronautics and Astronautics (BUAA). All rights reserved.
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  • [1] YU Kaiping, PANG Shiwei, ZHAO Jie, Advances in method of time-varying linear/nonlinear structural system identification and parameter estimate, Chinese Science Bulletin, 54, 20, pp. 3147-3156, (2009)
  • [2] ZHAO Xiaoping, ZHAO Xiuli, HOU Rongtao, Et al., A new method for instantaneous frequency estimation of run-up or rundown vibration signal for rotating machinery, Journal of Mechanical Engineering, 47, 7, pp. 103-108, (2011)
  • [3] KIM B，, KONG S H，, KIM S., Low computational enhancement of STFT-based parameter estimation, IEEE Journal of Selected Topics in Signal Processing, 9, 8, pp. 1610-1619, (2015)
  • [4] XU Xiuzhong, ZHANG Zhiyi, HUA Hongxing, Et al., Time-varying modal parameter identification with time-frequency analysis methods, Journal of Shanghai Jiao Tong University, 37, 1, pp. 122-126, (2003)
  • [5] KARLSSON S，, YU J，, AKAY M., Time-frequency analysis of myoelectric signals during dynamic contractions: a comparative study, IEEE Transactions on Bio-Medical Engineering, 47, 2, pp. 228-238, (2000)
  • [6] GILLES J., Empirical wavelet transform, IEEE Transactions on Signal Processing, 61, 16, pp. 3999-4010, (2013)
  • [7] XU Xin, SHI Zhiyu, Et al., Instantaneous frequencies identification of a linear time-varying structure using continuous wavelet transformation of free decay acceleration response, Journal of Vibration and Shock, 31, 20, pp. 166-171, (2012)
  • [8] YANG Wu, LIU Li, ZHOU Sida, Et al., Modal parameter identification of time-varying structures using a forward-backward time series model based on joint estimation, Journal of Vibration and Shock, 34, 3, pp. 129-135, (2015)
  • [9] ZHOU Haotian, YU Kaiping, CHEN Yushu, Et al., Time-varying modal parameters identification by subspace tracking algorithm and its validation method, Shock and Vibration, 2018, pp. 1-12, (2018)
  • [10] SHI Z Y，, LAW S S，, XU X., Identification of linear time-varying mdof dynamic systems from forced excitation using Hilbert transform and EMD method, Journal of Sound and Vibration, 321, pp. 572-589, (2009)
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