some new analytical techniques for duffing oscillator with very strong nonlinearity

نویسندگان

a. farshidianfar

department of mechanical engineering ferdowsi university of mashhad n. nickmehr

چکیده

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.

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عنوان ژورنال:
iranian journal of mechanical engineering transactions of the isme

جلد ۱۰، شماره ۱، صفحات ۳۷-۵۴

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