Nonlinear vibration of oscillatory systems using semi-analytical approach

被引：4

作者：

Bayat, Mahmoud ^{[1
]}

Bayat, Mandi ^{[2
]}

Pakar, Iman ^{[3
]}

机构：

[1] Islamic Azad Univ, Roudehen Branch, Young Researchers & Elite Club, Roudehen, Iran

[2] Islamic Azad Univ, Roudehen Branch, Dept Civil Engn, Roudehen, Iran

[3] Islamic Azad Univ, Mashhad Branch, Young Researchers & Elite Club, Mashhad, Iran

来源：

STRUCTURAL ENGINEERING AND MECHANICS | 2018年 / 65卷 / 04期

关键词：

variational approach (VA); nonlinear oscillators; Runge-Kutta's algorithm; VARIATIONAL APPROACH; ENERGY-BALANCE; EQUATIONS;

D O I：

10.12989/sem.2018.65.4.409

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In this paper, He's Variational Approach (VA) is used to solve high nonlinear vibration equations. The proposed approach leads us to high accurate solution compared with other numerical methods. It has been established that this method works very well for whole range of initial amplitudes. The method is sufficient for both linear and nonlinear engineering problems. The accuracy of this method is shown graphically and the results tabulated and results compared with numerical solutions.

引用

页码：409 / 413

页数：5

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