一类结构参数识别问题的数值方法

A numerical method of a problem for determining the structure parameter

为了识别结构参数,利用Fourier变换和一个迭代过程,将问题变为一个微分方程的定解问题和第一类积分方程的求解问题.针对第一类积分方程的求解,给出一个稳定的直接求解方法.模拟算例说明了方法的可行性.

To determine the structure parameter, the differential equation of the vibration of the structure could be divided into the differential equation and an integral equation of the first kind by the Fourier transform and an iteration format. A direct method is given to solve the integral equation of the first kind. Applied examples show that the method is feasible and effective.