基于测点优化与模态扩展的机械结构振动响应全场重构

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摘要提出一种基于测点优化与模态扩展的机械结构振动响应全场重构方法。使用D优化设计方法确定最优测点布置方案，根据模态扩展方法构造加速度响应扩展矩阵，从而实现由优化布置的有限测点的加速度响应重构机械结构全场加速度响应，并使用有限元分析软件读取重构的加速度响应，实现机械结构响应全场可视化。开展板结构数值仿真分析和振动响应重构实验，验证了当结构处于多模态共振或非共振状态下机械结构振动响应全场重构方法的有效性和鲁棒性。进一步，通过分析各阶加速度模态贡献量，精准选择主要振动模态分析机械结构的振动响应，实现了基于更少测点的振动响应全场重构。

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	李志国1
	2
	乔百杰1
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	朱昱达1
	2
	周凯1
	2
	陈雪峰1
	2

关键词 ：振动响应全场重构, D优化设计, 模态扩展, 响应全场可视化

Abstract：A method for full-field vibration response reconstruction of mechanical structure based on measurement point optimization and modal expansion was proposed. The measurement point placement was optimized by using the Determination optimization design method, and the acceleration response expansion matrix was constructed according to the modal expansion method. thereby, the full-field acceleration responses of the structure could be reconstructed with the acceleration responses of the optimally arranged limited measurement points. Then response-field visualization of the mechanical structure was realized by importing the reconstructed acceleration responses to the finite element analysis software. Numerical simulation analysis and vibration response reconstruction experiments were carried out in the base-upright structure. The validity and robustness of the full-field vibration response reconstruction method of the mechanical structure were verified when the structure was on the multi-mode resonance or the off-resonance. Furthermore, by analyzing the acceleration modal contribution, the main vibration modes which were used to analyze the vibration responses of the mechanical structure could be accurately selected, then the full-field vibration response reconstruction based on fewer measurement points was realized.

Key words： full-field vibration response reconstruction Determination optimization design modal expansion response-field visualization

收稿日期: 2022-05-04 出版日期: 2023-05-15

引用本文:

李志国1,2，乔百杰1,2，朱昱达1,2，周凯1,2，陈雪峰1,2. 基于测点优化与模态扩展的机械结构振动响应全场重构[J]. 振动与冲击, 2023, 42(9): 123-134.
LI Zhiguo1,2, QIAO Baijie1,2, ZHU Yuda1,2, ZHOU Kai1,2, CHEN Xuefeng1,2. Full field reconstruction of mechanical structure vibration responses based on measurement point optimization and modal expansion. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(9): 123-134.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I9/123

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