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

被引：102
|
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.
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页码：143 / 148
页数：6
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