基于改进多重同步挤压广义S变换的结构瞬时频率识别研究

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (8) : 193-198.

论文

袁平平1, 2, 3，程雪莉4，王航航3，沈中祥3，任伟新5，张健4

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A study on structural instantaneous frequency identification based on an improved multi-synchrosqueezing generalized S-transform

YUAN Pingping1,2,3,CHENG Xueli4,WANG Hanghang3,SHEN Zhongxiang3,REN Weixin5,ZHANG Jian4

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摘要

为了改进结构瞬时频率的识别效果，本文提出一种新形式的改进广义S变换（Improved Generalized S Transform, IGST），并通过能量集中度（Concentration Measure, CM）推导了IGST窗函数的参数选择方法，最后结合同步挤压算法提出了改进多重同步挤压广义S变换（Improved Multi-synchrosqueezing Generalized S-transform, IMSSGST）。该算法的核心思想是将IGST的时频分布按一定的范围向时频脊线处进行多次同步挤压变换。数值模拟方面，采用两层剪切框架时变结构验证了该方法的准确性。实验方面，对七层钢筋混凝土（Reinforced Concrete, RC）剪力墙结构进行了瞬时频率识别，验证了该方法在实际工程中的实用性。数值模拟和实验结果表明该方法能有效改善时频分析的能量聚集性，提高瞬时频率的识别精度。

Abstract

To improve the accuracy of structural instantaneous frequency identification, this paper proposed a new form of improved generalized S-transform（IGST）. The parameters selection method of window function in IGST was derived by concentration measure（CM）principle, and the improved multi-synchrosqueezing generalized S-transform（IMSSGST）was proposed combined with squeeze algorithm. The core idea of this algorithm is to perform multi-synchrosqueezing on the time-frequency distribution of IGST to the time-frequency ridge in a certain range. In terms of numerical simulation, the accuracy of the method was verified by using a time-varying structure of two-story shear frame. In the aspect of experiment, instantaneous frequency identification of a seven-story Reinforced Concrete（RC）shear wall structure was carried out, which verified the practicability of the method in practical engineering. Numerical simulation and experimental results show that this method can effectively improve energy aggregation of time-frequency analysis and accuracy of instantaneous frequency identification.

关键词

瞬时频率

/ 时频分析 / 同步挤压 / 改进多重同步挤压广义S变换

Key words

Instantaneous frequency

/ time-frequency analysis / synchrosqueezing / improved multi-synchrosqueezing generalized S-transform

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袁平平1, 2, 3，程雪莉4，王航航3，沈中祥3，任伟新5，张健4. 基于改进多重同步挤压广义S变换的结构瞬时频率识别研究[J]. 振动与冲击, 2022, 41(8): 193-198

YUAN Pingping1,2,3,CHENG Xueli4,WANG Hanghang3,SHEN Zhongxiang3,REN Weixin5,ZHANG Jian4. A study on structural instantaneous frequency identification based on an improved multi-synchrosqueezing generalized S-transform[J]. Journal of Vibration and Shock, 2022, 41(8): 193-198

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