改进的结构振动传递矩阵法

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (9) : 173-177.

论文

改进的结构振动传递矩阵法

万浩川1,2,，李以农1,郑玲1

作者信息 +

A Improved Transfer Matrix Method in Structural Vibration Analysis

WAN Hao-chuan1,2，LI Yi-nong1, ZHENG ling1

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文章历史 +

摘要

针对传递矩阵法中状态向量一阶导数计算复杂问题，改进状态向量的选取。不据边界条件而据方程选取状态向量，可大大简化状态向量一阶导数计算过程。在状态向量与边界条件之间引入关联矩阵，使传递矩阵求解过程更加简单。以圆柱壳振动方程为例，介绍改进的传递矩阵法并证明其正确性。通过求解约束阻尼圆柱壳表明，该方法求解多自由度复杂振动方程优点更显著。

Abstract

For simplifying the computation of state vector’s first derivative, the select method of state vector is improved. When selecting state vector, it is on the basis of vibration equations but not boundary conditions. An association matrix is introduced to solve the equations. The improved transfer matrix method is explained by an example of circle cylindrical shell’s vibration equations, and the validity of this method is proved. The solving of a constrained damping shell by this method shows that the more complex of the equations, the more obvious of this method’s advantages.

导出引用

万浩川;;李以农;郑玲. 改进的结构振动传递矩阵法[J]. 振动与冲击, 2013, 32(9): 173-177

WAN Hao-chuan;LI Yi-nong;ZHENG ling. A Improved Transfer Matrix Method in Structural Vibration Analysis[J]. Journal of Vibration and Shock, 2013, 32(9): 173-177