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Smart Structures and Systems Volume 33, Number 6, June 2024 , pages 385-398 DOI: https://doi.org/10.12989/sss.2024.33.6.385 |
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A new time-frequency analysis and structural instantaneous frequency extraction method based on modified spline-kernelled chirplet transform |
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Dong-Yan Xue, Ping-Ping Yuan, Zhou-Jie Zhao and Wei-Xin Ren
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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, multi-component 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. | ||
| Key Words | ||
| instantaneous frequency (IF); modified spline-kernelled chirplet transform (MSCT); parameter optimization; time-frequency analysis (TFA); time-varying signal | ||
| Address | ||
| (1) Dong-Yan Xue, Ping-Ping Yuan, Zhou-Jie Zhao: School of Civil Engineering and Architecture, Jiangsu University of Science and Technology, Zhenjiang, 212100, Jiangsu, China; (2) Wei-Xin Ren: College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, 518060, Guangdong, China. | ||