分析结构自由振动的传递矩阵精确形式

THE EXACT FORM OF TRANSFER MATRIX FOR ANALYSIS OF FREE VIBRATION OF STRUCTURES

本文以微分方程和矩阵分析理论为基础，导出了求解结构自由振动传递矩阵法的精确形式，无论是在计算效率和精度上都是对传递矩阵法的一个很好推广。文中运用这种封闭的精确形式求解了分段变厚度圆柱壳的自由振动。

Based on the theories of differential equation and matrix analysis, the transfer matrix for analysing free vibration of structures is expressed by an exact form other than power series and numerical integration ones and therefore numerical calculations can be carried out with higher precision and higher efficiency, comparing with the transfer matrix methods used before. By using the close and exact form, an example of free vibration of circular cylindrical shell with variable thickness is presented in the papre.