Forced nonlinear vibration by means of two approximate analytical solutions

被引：7
|
作者：
Bayat, Mahmoud [1 ]
Bayat, Mahdi [1 ]
Pakar, Iman [2 ]
机构：
[1] Islamic Azad Univ, Mashhad Branch, Coll Engn, Dept Civil Engn, Mashhad, Iran
[2] Islamic Azad Univ, Mashhad Branch, Young Researchers & Elites Club, Mashhad, Iran
来源：
STRUCTURAL ENGINEERING AND MECHANICS | 2014年 / 50卷 / 06期
关键词：
Variational Iteration Method (VIM); Perturbation Method (PM); nonlinear oscillators; nonlinear spring; EULER-BERNOULLI BEAMS; ELECTROSTATICALLY ACTUATED MICROBEAM; VARIATIONAL ITERATION METHOD; ENERGY-BALANCE METHOD; ASYMPTOTIC METHODS; FIELD RECORDS; OSCILLATORS; EQUATIONS; SYSTEMS; DEVICES;
D O I：
10.12989/sem.2014.50.6.853
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
In this paper, two approximate analytical methods have been applied to forced nonlinear vibration problems to assess a high accurate analytical solution. Variational Iteration Method (VIM) and Perturbation Method (PM) are proposed and their applications are presented. The main objective of this paper is to introduce an alternative method, which do not require small parameters and avoid linearization and physically unrealistic assumptions. Some patterns are illustrated and compared with numerical solutions to show their accuracy. The results show the proposed methods are very efficient and simple and also very accurate for solving nonlinear vibration equations.
引用
收藏
页码：853 / 862
页数：10
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