Approximate solutions for nonlinear oscillation of a mass attached to a stretched elastic wire

被引：23
作者：
Durmaz, Seher [1 ]
Demirbag, Sezgin Altay [2 ]
Kaya, Metin Orhan [1 ]
机构：
[1] Istanbul Tech Univ, Fac Aeronaut & Astronaut, TR-34469 Istanbul, Turkey
[2] Istanbul Tech Univ, Fac Sci & Letts, TR-34469 Istanbul, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 03期
关键词：
Nonlinear oscillator; He's max-min approach; He's frequency-amplitude method; Parameter-expansion method; HOMOTOPY-PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; FREQUENCY-AMPLITUDE FORMULATION; HIGHER-ORDER APPROXIMATIONS; PARAMETER-EXPANSION METHOD; MAX-MIN APPROACH; MUSICAL SCALES; EQUATIONS; FORCE; DISCONTINUITIES;
D O I：
10.1016/j.camwa.2010.12.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the approximate solutions of the mathematical model of a mass attached to a stretched elastic wire are presented. At the beginning of the study, the equation of motion is derived in a detailed way. He's max-min approach, He's frequency-amplitude method and the parameter-expansion method are implemented to solve the established model. The numerical results are further compared with the approximate analytical solutions for both a small and large amplitude of oscillations, and a very good agreement is observed. The relative errors are computed to illustrate the strength of agreement between the numerical and approximate analytical results. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：578 / 585
页数：8
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