Instantaneous frequency identification of time-varying structures using variational mode decomposition and synchrosqueezing wavelet transform

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (20) : 24-31.

LIU Jingliang1,ZHENG Jinyang1,LIN Youqin2,QIU Renhui1,LUO Yongpeng1

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Abstract

A combined method based on variational mode decomposition (VMD) and synchrosqueezing wavelet transform (SWT) was proposed to identify instantaneous frequencies from multi-component response signals of civil engineering structures.The wavelet scalogram was first introduced to estimate the number of the components contained in a response signal.Then, the VMD was used to decompose the response signal into several mono-components self-adaptively and the SWT was performed on the decomposed component signals to extract their instantaneous frequencies.A multi-component simulation, an aluminum cantilever beam test with abrupt mass reduction and a steel cable test with time-varying tension forces were used to verify the effectiveness and accuracy of the proposed method.The results demonstrated that the proposed method performs better than the traditional Hilbert-Huang transform and the continuous wavelet transform.

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variational mode decomposition / synchrosqueezing wavelet transform / multi-component signal / time-varying structures / instantaneous frequency

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LIU Jingliang1,ZHENG Jinyang1,LIN Youqin2,QIU Renhui1,LUO Yongpeng1. Instantaneous frequency identification of time-varying structures using variational mode decomposition and synchrosqueezing wavelet transform[J]. Journal of Vibration and Shock, 2018, 37(20): 24-31

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