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

被引：22
|
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.
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页码：578 / 585
页数：8
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