非均质变截面折线形梁面内振动的传递矩阵解法

Transfer Matrix Method on In-plane Vibration of Fold-line Nonuniform Beams with Varying Sections

考虑到折线形梁面内二维振动的特性，用传递矩阵法分析其面内的自由振动问题，导出了非均质变截面折线形梁面内振动的频率方程，利用非线性代数方程求根的计算机解法，可求得任意精度的任意阶固有频率。方法公式简洁，占计算机内存少，可编制成通用程序在小型微机上分析大型复杂折线形梁的面内振动特性。

Basing on the characteristic of two dimensional in-plane vibration of fold-line beam, this paPer investigates the free in-plane vibration of this kind of beams by the transfer matrix method. The frequency equation of the in-plane vibration of the fold-line nonuniform beams with varying sections is derived. The natural frequencies of the beam can be obtained by using the method of searching root for nonlinear algebraic equations. The method of this paper has the features that formulas are simple, the take-up of inner storage of the computer is much less and the general computing programs on microcomputers may readily be composed. Finally, an example is given.