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基于变分模态提取的动力响应重构方法研究OA北大核心CSTPCD

Dynamic Response Reconstruction Method Based on Variational Mode Extraction

中文摘要英文摘要

基于经验模态分解的响应重构方法依赖于参数繁多的带通滤波器,且不适用于具有密集模态的结构,因此,提出一种基于变分模态提取的动力响应重构方法.首先,在时域内使用变分模态提取将由传感器测得的动力响应分解为各阶模态响应;随后,通过根据有限元建模或模态试验导出的模态转换矩阵计算得到响应未知位置的各阶模态响应,再根据模态叠加法完成其余位置动力响应的重构;最后,对非密集模态的悬臂梁和密集模态的3层剪切框架进行数值模拟,并通过简支梁进行试验分析,验证了所提方法的有效性和较好的鲁棒性.

The response reconstruction method based on empirical mode decomposition depends on band-pass filters with many parameters,and is not suitable for structures with closely spaced modes.Therefore,a dynamic response reconstruction method based on variational mode extraction is proposed.Firstly,the dynamic response measured by the sensors is decomposed into modal responses with variational mode extraction in the time domain.Then,modal responses at the position with unknown response can be calculated through the modal transformation matrix derived from finite element modeling or the modal test,and the reconstruction of unknown dynamic response at the remaining positions can be completed through the modal superposition method.Finally,numerical simulations of a cantilever beam with loosely spaced modes and a 3-layer shear frame with closely spaced modes are carried out respectively,and the experimental analysis of a simply supported beam is conducted,which verify the effectiveness and good robustness of the proposed method.

余恒;殷红;彭珍瑞

兰州交通大学 机电工程学院,兰州 730070

土木建筑

振动与波密集模态变分模态提取动力响应重构模态转换矩阵模态叠加法

vibration and waveclosely spaced modesvariational mode extractiondynamic response reconstructionmodal transformation matrixmodal superposition method

《噪声与振动控制》 2024 (003)

借助不完备测量信息的结构响应重构方法

43-49 / 7

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(2022CXZX-569)

10.3969/j.issn.1006-1355.2024.03.007

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