基于自适应改进多重同步挤压变换的结构响应重构  

Structural Response Reconstruction Based on Adaptive Improved Multi-synchrosqueezing Transform

作　　者：窦文 殷红[1] 彭珍瑞[1] DOU Wen;YIN Hong;PENG Zhenrui(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070

出　　处：《噪声与振动控制》2025年第2期32-38,51,共8页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(62161018);甘肃省优秀研究生“创新之星”资助项目(2023CXZX-568)。

摘　　要：针对基于经验模态分解的结构响应重构方法需设置较多带通滤波器参数,且对噪声鲁棒性低的问题,提出一种基于自适应改进多重同步挤压变换的结构响应重构方法。首先根据瑞利熵自适应选择改进多重同步挤压变换的窗口长度和迭代次数,使用最优窗口长度和迭代次数进行时频分析,其次引入Crazy Climber算法提高脊线提取的准确度,通过脊线重建振动响应的各个分量信号。最后使用模态转换矩阵计算未知响应处的响应分量,并根据模态叠加法进行结构响应重构。通过对悬臂梁的数值算例和简支梁的试验验证,以验证方法的有效性。结果表明:所提方法重构的响应时程曲线与真实响应时程曲线吻合良好,与传统基于经验模态分解的结构响应重构方法相比,无须预设参数,且具有较强的噪声鲁棒性。Aiming at the problem that the structural response reconstruction method based on empirical mode decomposition needs to set more bandpass filter parameters and has low robustness to noise,a structural response reconstruction method based on adaptive improved multi-synchrosqueezing transform was proposed.Firstly,the window length and iterations number of the improved multi-synchrosqueezing transform were selected adaptively according to Rayleigh entropy,and the optimal window length and the number of iteration were used to perform the time-frequency analysis.Then,the Crazy Climber algorithm was introduced to improve the accuracy of the ridge extraction,and the vibration response component signals was reconstructed through the ridges.Finally,the response components at the response-unknown points were calculated using the modal transform matrix,and the structural response was reconstructed by means of the modal superposition method.The effectiveness of the method was verified by numerical simulation of cantilever beams and experimental measurement of simply supported beams.The results show that the reconstructed response time-history curves of the proposed method are in good agreement with the real response time-history curves.Compared with the traditional response reconstruction method based on empirical mode decomposition,the proposed method has strong noise robustness without needing the preset parameters.

关 键 词：振动与波 自适应改进多重同步挤压变换 Crazy Climber算法 模态转换矩阵 模态叠加法 响应重构 

分 类 号：TH113.1[机械工程—机械设计及理论]