对称结构动力学设计中的广义逆特征值问题

Inverse generalized eigenvalue problem in dynamic design of symmetric structures

将对称结构动力学设计问题归结为一类含设计参数的广义逆特征值问题，以结构的动态特性指标作为设计准则来设计结构，通过建立等效的非线性方程组，利用Ｎｅｗｔｏｎ法求解其设计参数，使得到的结构具有满足设计要求的动态特性。

In this paper, dynamic design of symmetric structures is considered as an inverse generalized eigenvalue problem. The structure dynamic performance indices are treated as a criterion to design structures. By constructing equivalent nonlinear equations, the design parameters can be solved using Newton's method so that the designed structures satisfy the specified dynamic performance. The numerical example shows the benefit of the presented methodology.