摘要
本文提出了一种用于多级子结构系统振动分析的特征对算法。基本思想是把子空间迭代技术推广到任意多级子结构系统中,使子空间迭代与结构树周游相结合,推导出了一套基于Guyan静态凝聚算式的动态子结构方法。其特点为:1,不引入任何近似条件,从方法上讲是精确解;2,不受子结构划分的任何限制,完全适用于任意多级多支的子结构系统。
An accurate method of solving eigen-pairs for substructure systems is presented in this paper.The basic idea is using sub-space iteration method combined with substructure tree's travelling technique to solve the eigen problem of overall structure with multi-level substructure model. The general formulas are derived without any approximation and restriction on substructuring,so that it can be used in any multi-substructure systems. In this method, it takes full use of the super-element stiffness and mass matrices obtained from static condensation. Hence it is not difficult to apply this method to the existing substructure programs based on static condensation method. Indeed, this method has been implemented in the fixed platform program system DASOS-J.
基金
国家自然科学基金
