非均质变截面折线形梁的面外振动的传递矩阵法

TRANSFER MATRIX METHOD ON OUT-OF-PLANE VIBRATION OF FOLD-LINE NONUNIFORM BEAM WITH VARYING SECTION

本文根据折线形梁面外二维振动的特点,用传递矩阵法研究其面外振动特性,导出了非均质变截面折线形梁面外振动的频率方程,采用非线性代数方程的搜索求根方法计算固有频率。本文方法具有公式简洁和占计算机内存少的特点,可编制成通用程序在小型微机上分析大型折线形梁的面外振动特性。

Basing on the characteristic of two dimensional vibration of fold-line beam out of plane, this paper investigates the free vibration of this kind of beam out of plane by the transfer matrix method. In the paper, the frequency equation of the out-of-plane vibration of the fold-line nonuniform beam with varying section is derived. The natural frequencies of the beam can be obtained by the use of 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 computer program on microcomputers may readily be composed.