基于频率进行简支梁损伤评估的数值研究

郭国会 易伟建

doi:10.11835/j.issn.1674-4764.2001.02.004

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基于频率进行简支梁损伤评估的数值研究

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- 基于频率进行简支梁损伤评估的数值研究
- A Numerical Study on the Damage Assessment of a Simply-supported Beam on Natural Frequencies
- 土木与环境工程学报（中英文） 2001年23卷第2期页码：17-21
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- DOI：10.11835/j.issn.1674-4764.2001.02.004
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- 纸质出版：2001
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郭国会易伟建. 基于频率进行简支梁损伤评估的数值研究[J]. 土木与环境工程学报（中英文）, 2001,23(2):17-21.

A Numerical Study on the Damage Assessment of a Simply-supported Beam on Natural Frequencies[J]. Journal of Civil and Environmental Engineering, 2001, 23(2): 17-21.
郭国会易伟建. 基于频率进行简支梁损伤评估的数值研究[J]. 土木与环境工程学报（中英文）, 2001,23(2):17-21. DOI： 10.11835/j.issn.1674-4764.2001.02.004.

A Numerical Study on the Damage Assessment of a Simply-supported Beam on Natural Frequencies[J]. Journal of Civil and Environmental Engineering, 2001, 23(2): 17-21. DOI： 10.11835/j.issn.1674-4764.2001.02.004.

摘要

基于摄动理论，推导出结构的频变比为结构损伤位置的函数。以一等截面简支梁为例，利用梁损伤前后的频率比来对梁的损伤进行定位与定量。在不同损伤程度下，分析了梁对应的频率及频变比变化，以及由于忽略二阶项带来的影响，并指出了本方法的不足。

Abstract

Based on the perturbation theory

it was proved that the ratio of changes of frequencies is the function of structural damage location. Taking a uniform cross-sectioned simply supported beam for example

the ratio of changes of frequencies between the damaged and intact beam was used to locate and qualify beam damage. For different extents of damage

the changes of frequencies and ratio of changes of frequencies were studied and the effects resulted from the omission of second order items were discussed. Finally

the deficiency of this method was pointed out.

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