Smart Structures and Systems

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A new time-frequency analysis and structural instantaneous frequency extraction method based on modified spline-kernelled chirplet transform

  • Dong-Yan Xue (School of Civil Engineering and Architecture, Jiangsu University of Science and Technology) ;
  • Ping-Ping Yuan (School of Civil Engineering and Architecture, Jiangsu University of Science and Technology) ;
  • Zhou-Jie Zhao (School of Civil Engineering and Architecture, Jiangsu University of Science and Technology) ;
  • Wei-Xin Ren (College of Civil and Transportation Engineering, Shenzhen University)
  • Received : 2023.05.31
  • Accepted : 2024.06.12
  • Published : 2024.06.25
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Abstract

To improve the accuracy of time-frequency analysis (TFA) and instantaneous frequency (IF) extraction of structural dynamic response signals, this paper improves the spline-kernelled chirplet transform, and a new form of modified spline-kernelled chirplet transform (MSCT) based on revised Gaussian window function and energy concentration principle is put forward. The effectiveness of the proposed method is verified by numerical examples of single-component signal, multicomponent signal, single-degree-of-freedom Duffing nonlinear system and two-layer shear frame structure model. Then, a time-varying cable test is designed to collect the acceleration response signals under linear changing tension, and the IF extraction of these signals is performed by using MSCT, which further verifies the effectiveness and accuracy of this method. Through numerical simulation and experimental verification, it is proved that the proposed method can effectively extract the IF of nonlinear structure and time-varying structure.

Keywords

Acknowledgement

Financial support to complete this study is provided in part by the National Natural Science Foundation of China (Grant No. 51979130) and Postdoctoral Research Funding Program of Jiangsu Province (Grant No. 2021K562C). The results and opinions expressed in this paper are those of the authors only and they don't necessarily represent those of the sponsors.

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