| WAY TO DETERMINE STIFFNESS FUNCTION OF STRUCTURE |
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| 作者姓名： | 王德明 盖秉政 |
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| 作者单位： | Department of Mathematics Harbin Institute of Technology，Department of Spaceflight Engineering and Mechanics Harbin Institute of Technology Harbin 150001 P.R.China，Harbin 150001 P. R. China |
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| 摘 要： | For calculating the stiffness function of a structure, the differential equation of the vibration of the structure was divided into the differential equation on the original stiffness function that was known, and Fredholm integral equation of the first kind on the undetermined stiffness function that was unknown. And the stable solutions of the integral equation, when the smooth factor was equal to zero, was solved by the extrapolation with p smooth factors. So the stiffness function of the structure is obtained. Applied examples show that the method is feasible and effective.
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| 关 键 词： | 结构硬度函数 结构动力学 平滑法 倒转问题 微分方程 |
| 文章编号： | 0253-4827（2005）12-1605-06 |
| 收稿时间： | 2005-05-25 |
| 修稿时间： | 2005-08-02 |
Way to determine stiffness function of structure |
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| De-ming Wang,Bing-zheng Gai.WAY TO DETERMINE STIFFNESS FUNCTION OF STRUCTURE[J].Applied Mathematics and Mechanics(English Edition),2005,26(12):1605-1610. |
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| Authors: | De-ming Wang Bing-zheng Gai |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P.R.China
2. Department of Spaceflight Engineering and Mechanics, Harbin Institute of Technology, Harbin, 150001, P. R. China
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| Abstract: | For calculating the stiffness function of a structure, the differential equation of the vibration of the structure was divided into the differential equation on the original stiffness function that was known, and Fredholm integral equation of the first kind on the undetermined stiffness function that was unknown. And the stable solutions of the integral equation, when the smooth factor was equal to zero, was solved by the extrapolation with p smooth factors. So the stiffness function of the structure is obtained. Applied examples show that the method is feasible and effective. |
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| Keywords: | structure dynamics inverse problem smooth method |
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