مهندسی مکانیک ایران-Iranian Journal of Mechanical Engineering Transactions of the ISME, Volume (10), No (1), Year (2009-3) , Pages (31-53)

Title : ( Some New Analytical Techniques for Duffing Oscillator with Very Strong Nonlinearity )

Authors: Anoshirvan Farshidianfar , Neda Nickmehr ,

Citation: BibTeX | EndNote

The current paper focuses on some analytical techniques to solve the non-linear Duffing oscillator with large nonlinearity. Four different methods have been applied for solution of the equation of motion; the variational iteration method, He’s parameter expanding method, parameterized perturbation method, and the homotopy perturbation method. The results reveal that approximation obtained by these approaches are valid uniformly even for very large parameters and are more accurate than straightforward expansion solution. The methods, which are proved to be mathematically powerful tools for solving the nonlinear oscillators, can be easily extended to any nonlinear equation, and the present paper can be used as paradigms for many other applications in searching for periodic solutions, limit cycles or other approximate solutions for real-life physics and engineering problems.

Keywords

Duffing oscillator; strong nonlinearity; parameterized perturbation method; parameter expanding method; variational iteration method; homotopy
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1011509,
author = {Farshidianfar, Anoshirvan and Nickmehr, Neda},
title = {Some New Analytical Techniques for Duffing Oscillator with Very Strong Nonlinearity},
journal = {مهندسی مکانیک ایران-Iranian Journal of Mechanical Engineering Transactions of the ISME},
year = {2009},
volume = {10},
number = {1},
month = {March},
issn = {1605-9727},
pages = {31--53},
numpages = {22},
keywords = {Duffing oscillator; strong nonlinearity; parameterized perturbation method; parameter expanding method; variational iteration method; homotopy perturbation;},
}

[Download]

%0 Journal Article
%T Some New Analytical Techniques for Duffing Oscillator with Very Strong Nonlinearity
%A Farshidianfar, Anoshirvan
%A Nickmehr, Neda
%J مهندسی مکانیک ایران-Iranian Journal of Mechanical Engineering Transactions of the ISME
%@ 1605-9727
%D 2009

[Download]