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应变模态分析及其与位移模态的关系研究

陈晗 宋汉文

噪声与振动控制2016,Vol.36Issue(4):7-13,7.
噪声与振动控制2016,Vol.36Issue(4):7-13,7.DOI:10.3969/j.issn.1006-1335.2016.04.002

应变模态分析及其与位移模态的关系研究

Analysis of Strain Modals and the Relationship between the Strain Modals and Displacement Modals

陈晗 1宋汉文1

作者信息

  • 1. 同济大学 航空航天与力学学院,上海 200092
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摘要

Abstract

In the vibration test analysis, there is a mutual complementarity between dynamic strain data and dynamic displacement data, i.e. strong displacement response usually corresponds to weak strain response and vice versa. Strain modal analysis theory and parameter identification based on the measurement of dynamic strain are considered to be homologous with displacement modal analysis theory based on the measurement of displacement (or velocity, or acceleration), but the relationship and mutual modification of them are lack of further study. In this paper, taking a cantilever beam model as an example, the expression of the dynamic strain frequency response function to the exciting force is derived and the strain modal parameter identification method is discussed. On this basis, the transformation relation between the displacement modal and the strain modal with the same eigenvalue is established, and the characteristics of strain-displacement transformation matrix are deeply analyzed. The numerical simulation and example show the rationality and correctness of the transformation relation.

关键词

振动与波/应变模态分析/频响函数/模态参数辨识

Key words

vibration and wave/strain modal analysis/frequency response function/modal parameter identification

分类

数理科学

引用本文复制引用

陈晗,宋汉文..应变模态分析及其与位移模态的关系研究[J].噪声与振动控制,2016,36(4):7-13,7.

基金项目

国家自然科学基金资助项目(11272235) (11272235)

噪声与振动控制

OACSCDCSTPCD

1006-1355

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