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Smart Structures and Systems Volume 33, Number 3, March 2024 , pages 201-215 DOI: https://doi.org/10.12989/sss.2024.33.3.201 |
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A combined spline chirplet transform and local maximum synchrosqueezing technique for structural instantaneous frequency identification |
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Ping-Ping Yuan, Zhou-Jie Zhao, Ya Liu and Zhong-Xiang Shen
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| Abstract | ||
| Spline chirplet transform and local maximum synchrosqueezing are introduced to present a novel structural instantaneous frequency (IF) identification method named local maximum synchrosqueezing spline chirplet transform (LMSSSCT). Namely spline chirplet transform (SCT), a transform is firstly introduced based on classic chirplet transform and spline interpolated kernel function. Applying SCT in association with local maximum synchrosqueezing, the LMSSSCT is then proposed. The index of accuracy and Rényi entropy show that LMSSSCT outperforms the other time-frequency analysis (TFA) methods in processing analytical signals, especially in the presence of noise. Numerical examples of a Duffing nonlinear system with single degree of freedom and a two-layer shear frame structure with time-varying stiffness are used to verify the effectiveness of structural IF identification. Moreover, a nonlinear supported beam structure test is conducted and the LMSSSCT is utilized for structural IF identification. Numerical simulation and experimental results demonstrate that the presented LMSSSCT can effectively identify the IFs of nonlinear structures and time-varying structures with good accuracy and stability. | ||
| Key Words | ||
| instantaneous frequency; local maximum synchrosqueezing; local maximum synchrosqueezing spline chirplet transform; spline chirplet transform | ||
| Address | ||
| (1) Ping-Ping Yuan, Zhou-Jie Zhao: School of Civil Engineering and Architecture, Jiangsu University of Science and Technology, Zhenjiang, 212100, Jiangsu, China; (2) Ya Liu: The First Construction Engineering Company Ltd. of China Construction Second Engineering Bureau, Beijing, 100176, China; (3) Zhong-Xiang Shen: School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212100, Jiangsu, China. | ||