结构刚度函数识别的一个途径

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Way to Determine the Stiffness Function of Structure

1.
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China;

摘要: 为了计算结构的刚度函数，将结构振动微分方程分解为关于已知的原始刚度函数的微分方程和关于未知待求的刚度函数的第一类Fredholm积分方程，利用p个光滑因子进行外插值的求解方法，数值计算当光滑因子为零时的积分方程的稳定解．从而可得到结构的刚度函数．通过数值模拟说明方法是可行的．
- 结构动力学 /
- 反问题 /
- 光滑化
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 psmooth factors.So the stiffness function of the structure is obtained.Applied examples show that the method is feasible and effective.
- structure dynamics /
- inverse problem /
- smooth method

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