对称结构复模态向量的二阶泰勒展开

Second Order Taylor Expansion for the Complex Mode's Vector in the Symmetry Structures

基于相容性条件方程理论,提出了关于对称系统复频率的二阶导数求解算法及复模态的二阶导数求解算法,利用多元向量值函数的泰勒展开式理论,给出对称系统复模态向量的二阶泰勒展开式算法,为复模态向量在工程结构优化及模型修正等领域的应用提供新的算法基础。数值算例说明本文算法的有效性和正确性。

In this article,we presented the second derivative algorithm for the symmetry system of complex frequency and the complex mode based on the theory of the compatible equation.The Taylor expansion with the vector-valued function of several variables was used to found the Taylor expansion approximation method of the complex mode＇s vector of the symmetry system.This result gives a new algorithm foundation by means of the theory of the compatible equation,and that it has some potential application for optimizing the engineering structure and revising the model.The example indicates that this algorithm is effective and correct.