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.

引用

页码：578 / 585

页数：8

共 50 条

[1] Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire
Sun, W. P.
Wu, B. S.
Lim, C. W.
[J]. JOURNAL OF SOUND AND VIBRATION, 2007, 300 (3-5) : 1042 - 1047
[2] Approximate solutions of a nonlinear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation method
Belendez, A.
Belendez, T.
Neipp, C.
Hernandez, A.
Alvarez, M. L.
[J]. CHAOS SOLITONS & FRACTALS, 2009, 39 (02) : 746 - 764
[3] APPLICATION OF HAMILTONIAN APPROACH TO AN OSCILLATION OF A MASS ATTACHED TO A STRETCHED ELASTIC WIRE
Xu, Lan
[J]. MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2010, 15 (05) : 901 - 906
[4] NON-LINEAR OSCILLATION OF A MASS ATTACHED TO A STRETCHED ELASTIC WIRE IN A FRACTAL SPACE
Ren, Feng
[J]. THERMAL SCIENCE, 2024, 28 (3A): : 2165 - 2169
[5] Vibration analysis of nonlinear systems modelled by a mass attached to a stretched elastic wire
Pirbodaghi, Tohid
Hoseini, Seyed Hamed
Akbari, Samin
[J]. EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2016, 25 (04): : 329 - 338
[6] Analysis of the fractional oscillator for a mass attached to a stretched elastic wire
Lu, Junfeng
Sun, Yi
[J]. JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2023, 42 (04) : 1733 - 1742
[7] Application of He's parameter-expansion method to an oscillation of a mass attached to a stretched elastic wire
Xu, Lan
[J]. PHYSICS LETTERS A, 2007, 368 (3-4) : 259 - 262
[8] Application of energy balance method and variational iteration method to an oscillation of a mass attached to a stretched elastic wire
Jamshidi, N.
Ganji, D. D.
[J]. CURRENT APPLIED PHYSICS, 2010, 10 (02) : 484 - 486
[9] A piecewise variational iteration method for treating a nonlinear oscillator of a mass attached to a stretched elastic wire
Geng, Fazhan
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) : 1641 - 1644
[10] Variational approach to the nonlinear oscillator of a mass attached to a stretched wire
Shou, Da-Hua
[J]. PHYSICA SCRIPTA, 2008, 77 (04)

← 1 2 3 4 5 →