Improved VMD and its application in instantaneous frequency identification of seismic responses of time-varying structures

被引：0
|
作者：
Wang Y.-N. [1 ]
Shang X.-Q. [1 ]
Huang T.-L. [1 ]
机构：
[1] School of Civil Engineering, Central South University, Changsha
来源：
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2024年 / 37卷 / 03期
关键词：
instantaneous frequency identification; seismic excitation; shaking table test; time-varying frame structures; VMD;
D O I：
10.16385/j.cnki.issn.1004-4523.2024.03.005
中图分类号：
学科分类号：
摘要：
Under the action of strong seismic excitations, structures exhibit time-varying dynamic characteristics due to damage. Variational mode decomposition(VMD)can be used to analyze the instantaneous frequency variation of structural seismic responses and reveal the damage condition of structures during earthquake. When VMD is adopted for decomposing the non-stationary responses, there exists the problem of mode aliasing due to the artificially presetting the number of decomposed modes K and the quadratic penalty factor α. Aiming at solving this problem, an improved variational mode decomposition (IVMD) algorithm is proposed in this study, which, combined with Hilbert transform (HT), can more accurately identify the instantaneous frequencies of time-varying structures under non-stationary seismic excitations. The multiple signal classification(MUSIC)algorithm is used to determine the number of decomposition modes K. The comprehensive objective function is constructed based on the overall orthogonal coefficient and energy ratio coefficient, and the slap swarm algorithm (SSA) is used to optimize and determine the optimal quadratic penalty factor α. Based on the optimized parameters K and α, IVMD-HT is used to identify the instantaneous frequency of time-varying structures from the seismic responses. A simulated signal and the seismic responses of a 4-layer time-varying frame structure show that the accuracy of identified instantaneous frequencies by using the IVMD algorithm is higher than the identified ones by using the VMD algorithm. The feasibility of the proposed method is verified by using shaking table test data of a 12-story reinforced concrete frame structure model. © 2024 Nanjing University of Aeronautics an Astronautics. All rights reserved.
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页码：402 / 413
页数：11
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