Non-linear vibration of Euler-Bernoulli beams

被引：82

作者：

Barari, A. ^{[1
]}

Kaliji, H. D. ^{[2
]}

Ghadimi, M. ^{[3
]}

Domairry, G. ^{[3
]}

机构：

[1] Aalborg Univ, Dept Civil Engn, DK-9000 Aalborg, Denmark

[2] Islamic Azad Univ, Dept Mech Engn, Semnan Branch, Semnan, Iran

[3] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran

来源：

LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES | 2011年 / 8卷 / 02期

关键词：

Variational Iteration Method (VIM); Parametrized Perturbation Method (PPM); Galerkin method; non-linear vibration; Euler-Bernoulli beam; VARIATIONAL ITERATION METHOD; DYNAMIC-RESPONSE; FORMULATION; OSCILLATOR;

D O I：

10.1590/S1679-78252011000200002

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial loads. The proposed methods do not require small parameter in the equation which is difficult to be found for nonlinear problems. Comparison of VIM and PPM with Runge-Kutta 4th leads to highly accurate solutions.

引用

页码：139 / 148

页数：10

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