[1]金挺,林志兴,李永宁..结构弹性支承刚度识别的广义逆特征值法[J].郑州大学学报(工学版),2003,24(04):105-108.[doi:10.3969/j.issn.1671-6833.2003.04.026]
　Jin Ting,LIN Zhixing,Li Yongning.Generalized inverse eigenvalue method for structural elastic support stiffness identification[J].Journal of Zhengzhou University (Engineering Science),2003,24(04):105-108.[doi:10.3969/j.issn.1671-6833.2003.04.026]

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结构弹性支承刚度识别的广义逆特征值法()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

24卷

期数:

2003年04期

页码:

105-108

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Generalized inverse eigenvalue method for structural elastic support stiffness identification

作者:

金挺; 林志兴; 李永宁.

同济大学土木工程防灾国家重点实验室,上海,200092, 同济大学土木工程防灾国家重点实验室,上海,200092, 同济大学土木工程防灾国家重点实验室,上海,200092

Author(s):

Jin Ting; LIN Zhixing; Li Yongning

关键词:

参数识别;  广义逆特征值;  弹性支承刚度

Keywords:

parameter identification;  generalized inverse eigenvalues;  Elastic support stiffness

DOI:

10.3969/j.issn.1671-6833.2003.04.026

文献标志码:

A

摘要:

以带弹性支承的结构为对象,将结构刚度矩阵视为弹性支承刚度的线性函数,以广义逆特征值理论为基础,引入广义特征值导数,给出一种识别结构弹性支承刚度的方法.算例中,利用模态试验结果,根据前3阶实测固有频率,用Newton-Raphson法求解以支承刚度为参数的非线性方程组,求出弹性支承刚度,并分析模态试验结果误差对支承刚度识别的影响.误差分析表明,如果模态试验结果具有足够的精度,用本文方法能够准确地实现结构边界支承刚度识别.

Abstract:

Taking the structure with elastic support as the object, the structural stiffness matrix is regarded as a linear function of the elastic support stiffness, and based on the generalized inverse eigenvalue theory, the generalized eigenvalue derivative is introduced to give a method to identify the elastic support stiffness of the structure. In this example, using the modal test results, according to the measured natural frequencies of the first three orders, the Newton-Raphson method is used to solve the nonlinear equation system with the supporting stiffness as the parameter, the elastic supporting stiffness is obtained, and the influence of the error of the modal test results on the recognition of the supporting stiffness is analyzed. The error analysis shows that if the modal test results have sufficient accuracy, the structural boundary support stiffness can be accurately identified by this method.

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