求解任意分支结构动力学问题的传递矩阵方法

Transfer Matrix Method for solving dynamics problems of structures with arbitrary branches

介绍了一种求解任意分支结构动力学问题的传递矩阵方法。对于包含任意分支结构的系统首先选择一条主传递路径,然后根据各子分支的影响确定主传递路径上分支点前后状态向量间的传递矩阵,再由主传递路径上其余单元的传递矩阵,按照链式系统传递矩阵方法求解结构动力学问题。与以往的传递矩阵方法求解过程相比,新方法具有变量自由度数少、求解过程简单和推导结果适用范围广等特点,可以求解多种含分支结构的弹性系统的动力学问题。最后用部分算例验证了方法的正确性。

A way of solving dynamics problems of structures with arbitrary branches with Transfer Matrix Method was introduced. A dominant chain was selected in an arbitrary structure system with branches, the transfer matrix between the state vectors at both sides of each branch point on the dominant chain waS determined according to the influence of other side branches, obtaining the transfer matrix of other elements next, the structure dynamics problem was solved following the chain transfer matrix method process. Com pared with those ways before, this way would need less variable degrees, be easier and gain much more widely practical deduced results, etc, dynamics problems of many types of elastic systems with branches could be solved in this way. Finally, some calculation results validated this way.