On the homotopy analysis method for non-linear vibration of beams

被引：101

作者：

Pirbodaghi, T. ^{[1
]}

Ahmadian, M. T. ^{[1
]}

Fesanghary, M. ^{[2
]}

机构：

[1] Sharif Univ Technol, Ctr Excellence Design Robot & Automat, Sch Mech Engn, Tehran 113659567, Iran

[2] Amirkabir Univ Technol Tehran Polytech, Dept Mech Engn, Tehran 158754413, Iran

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2009年 / 36卷 / 02期

关键词：

Non-linear vibration; Euler-Bernoulli beam; Homotopy analysis method; AMPLITUDE FREE-VIBRATIONS; FORMULATION;

D O I：

10.1016/j.mechrescom.2008.08.001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this study, the homotopy analysis method (HAM) is used to investigate non-linear vibration behaviour of Euler-Bernoulli beams subjected to axial loads. Analytical expressions for geometrically non-linear vibration of beams are provided. The effect of vibration amplitude on the non-linear frequency and buckling load is discussed. Comparison between HAM results and those available in literature demonstrates the accuracy of this method. This study shows that a first-order approximation of the HAM leads to highly accurate solutions which are valid for a wide range of vibration amplitudes. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：143 / 148

页数：6

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