复杂链式结构动力分析中的直接迁移子结构方法

本文将频响函数和迁移矩阵引入子结构方法中,提出简单高效的直接迁移子结构方法。当子结构中内部自由度很大时,用这种方法进行链武结构的动力特性分析和求解谐和激励响应时依然能保持很高的计算效率和精度。而且有限元分析或试验得到的各子结构数据相互独立,因此对结构的不同组合进行分析只需改变相应连接条件;当结构有局部修改时也只需修正相应子结构的数据。这些特性对复杂链武结构动力优化和抗震设计问题十分有利。最后的数值算例说明了所提出方法的优越性及其在工程中的实用性。

Direct transfer substructure method for dynamic analysis of complex chain structure

Combining FRF(Frequency Response Function) with transfer matrix method, a new direct transfer substructure method has been presented . Using this method, the dynamic analysis of complex chain system may be calculated effectively with high accuracy, even if the inner degrees of freedom of substructure are very large. The data of every substructure obtained from finite element method or experiments is independent one another. Therefore, the structure of different troop can be analyzed by altering the connection conditions, and a partially modified structural analysis can be finished through correction of corresponding substructures. Virtues as mentioned are of great benefit to dynamic optimization and aseismatic design of complex chain structure. Through the compensatory technique of series expansion of a matrix function, this method becomes more applicable and effective when the low frequency modes of whole structure are needed. A numerical example shows advantages and practicability of this method.