约束子结构法的一种改进

在动态分析中利用有限单元法,常常会导致大规模的矩阵,通常利用子结构的模态综合来减缩矩阵的阶数.本文提出一种新的方法,以减缩约束子结构模态综合中的连接坐标.基于相继缩聚,在Craig方程中的对接结点位移即可逐次消去.因而这种方法克服了经典减缩中所存在的缺点,可连续使用约束子结构法,直至最后一级系统的连接坐标维数被减缩到容许的规模为止.数值计算结果表明,本文改进的减缩方法是有效的.

A MODIFICATION TO CONSTRAINT SUBSTRUCTURE METHOD

In dynamic analyses by the finite element method very large matrices are usuall in voloed. However, the size of the matrices may be reduced by using a method of substructure mode synthesis. This paper presents a new technigue for reducing the connection coordinates in the constraint substructure mode synthesis. Based on successive condensation, the interfacenode displacements that nemain in Craig's equation can be eliminated progressively. Consequently, this technique is free of the drawlacks of classic reduction and enables the strategy of the constraint substructure method to be fully implemented. Numerical results indicate that the proposed reduction technique is effective.