High conservative nonlinear vibration equations by means of energy balance method

被引：2
|
作者：
Bayat, Mahmoud [1 ]
Pakar, Iman [2 ]
Bayat, Mahdi [2 ]
机构：
[1] Islamic Azad Univ, Roudehen Branch, Young Researchers & Elite Club, Roudehen, Iran
[2] Islamic Azad Univ, Mashhad Branch, Young Researchers & Elite Club, Mashhad, Iran
来源：
EARTHQUAKES AND STRUCTURES | 2016年 / 11卷 / 01期
关键词：
Energy Balance Method (EBM); Runge-Kutta's Method (RKM); nonlinear vibrations; ACCURATE; OSCILLATORS; SYSTEMS; DYNAMICS;
D O I：
10.12989/eas.2016.11.1.129
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
This paper presents He's Energy Balance Method (EBM) for solving nonlinear oscillatory differential equations. Three strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with numerical solutions using Runge-Kutta's algorithm. The effects of different important parameters on the nonlinear response of the systems are studied. The results show the presented method is potentially to solve high nonlinear vibration equations.
引用
收藏
页码：129 / 140
页数：12
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