Nonlinear Vibration Analysis of Timoshenko Beams Using the Differential Quadrature Method

被引：0

作者：

Hongzhi Zhong

Qiang Guo

机构：

[1] Tsinghua University,Department of Civil Engineering

来源：

Nonlinear Dynamics | 2003年 / 32卷

关键词：

nonlinear vibration; Timoshenko beam; differential quadarture method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper addresses the large-amplitude free vibration of simplysupported Timoshenko beams with immovable ends. Various nonlineareffects are taken into account in the present formulation and thegoverning differential equations are established based on theHamilton Principle. The differential quadrature method (DQM) isemployed to solve the nonlinear differential equations. Theeffects of nonlinear terms on the frequency of the Timoshenkobeams are discussed in detail. Comparison is made with otheravailable results of the Bernoulli–Euler beams and Timoshenkobeams. It is concluded that the nonlinear term of the axial forceis the dominant factor in the nonlinear vibration of Timoshenkobeams and the nonlinear shear deformation term cannot be neglectedfor short beams, especially for large-amplitude vibrations.

引用

页码：223 / 234

页数：11

共 40 条

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