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.

引用

页码：143 / 148

页数：6

共 50 条

[21] Damage assessment in concrete beams using non-linear analysis of vibration measurements
Neild, SA
McFadden, PD
Williams, MS
DAMAGE ASSESSMENT OF STRUCTURES, PROCEEDINGS, 2003, 245-2 : 557 - 564
[22] Non-linear vibration of beams with internal resonance by the hierarchical finite-element method
Ribeiro, P
Petyt, M
JOURNAL OF SOUND AND VIBRATION, 1999, 224 (04) : 591 - 624
[23] NON-LINEAR FREE-VIBRATION ANALYSIS OF STEPPED BEAMS UNDER GRAVITY BY TRANSFER-MATRIX METHOD
SATO, H
BULLETIN OF THE JSME-JAPAN SOCIETY OF MECHANICAL ENGINEERS, 1981, 24 (198): : 2115 - 2121
[24] Non-linear vibration analysis of mechanical system (Analysis with consideration of non-linear sensitivity)
Moon, B
Kang, BS
JSME INTERNATIONAL JOURNAL SERIES C-MECHANICAL SYSTEMS MACHINE ELEMENTS AND MANUFACTURING, 2001, 44 (01) : 12 - 19
[25] Non-linear forced vibration of axially moving viscoelastic beams
Xiaodong Yang
Li-Qun Chen
Acta Mechanica Solida Sinica, 2006, 19 : 365 - 373
[26] NON-LINEAR FORCED VIBRATION OF AXIALLY MOVING VISCOELASTIC BEAMS
Yang Xiaodong Department of Engineering Mechanics
Acta Mechanica Solida Sinica, 2006, (04) : 365 - 373
[27] Non-linear vibration of variable speed rotating viscoelastic beams
Davood Younesian
Ebrahim Esmailzadeh
Nonlinear Dynamics, 2010, 60 : 193 - 205
[28] NON-LINEAR VIBRATION BEHAVIOR OF BEAMS WITH ELASTIC ROTATIONAL RESTRAINTS
BHASHYAM, GR
PRATHAP, G
JOURNAL OF SOUND AND VIBRATION, 1981, 74 (01) : 148 - 150
[29] Non-linear forced vibration of axially moving viscoelastic beams
Yang Xiaodong
Chen Li-Qun
ACTA MECHANICA SOLIDA SINICA, 2006, 19 (04) : 365 - 373
[30] NON-LINEAR VIBRATION OF BEAMS IN AN AXIAL FORCE-FIELD
PARAMESWARAN, K
VARADAN, TK
PRATHAP, G
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1981, 69 (03): : 709 - 712

← 1 2 3 4 5 →