改进的直接部件模态综合法

An Improved Method of Direct Component Modal Synthesis Technique for Structure Dynamic Analysis

Yee和Tsuei提出的直接部件模态综合法将自由界面模态综合法与频响函数相结合 ,简化了计算过程、减少了计算量 ,并便于与实验模态分析相结合。本文在其基础上利用矩阵级数展开的方法将被截断高阶模态的贡献用保留模态和系统物理特性矩阵精确表达 ,结合分块计算方法 ,进一步减少了计算量并有效地提高了计算精度 ,且确定了模态截断准则。

An improved method of direct component modal synthesis technique is presented in this paper. Combining free interface method of modal synthesis and frequency response function, the direct component modal synthesis technique is convenient for integrating with experimental result, simplifying the synthesis procedures and decreasing numerical computations. By using the series expansion of a matrix function, contribution due to the truncated modes is expressed accurately by system matrices and a few available lower modes in this paper. With the addition of partition calculation technique, more computations for the solution are reduced and precision of the eigensolutions of the system is improved drastically. Furthermore, the modal truncation rule is ascertained easily. A numerical example shows that the method of this paper is valid and effective.