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http://dx.doi.org/10.12989/sem.2016.59.4.671

Nonlinear vibration of conservative oscillator's using analytical approaches  

Bayat, Mahmoud (Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University)
Pakar, Iman (Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University)
Bayat, Mahdi (Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University)
Publication Information
Structural Engineering and Mechanics / v.59, no.4, 2016 , pp. 671-682 More about this Journal
Abstract
In this paper, a new analytical approach has been presented for solving nonlinear conservative oscillators. Variational approach leads us to high accurate solution with only one iteration. Two different high nonlinear examples are also presented to show the application and accuracy of the presented approach. The results are compared with numerical solution using runge-kutta algorithm in different figures and tables. It has been shown that the variatioanl approach doesn't need any small perturbation and is accurate for nonlinear conservative equations.
Keywords
analytical methods; nonlinear vibrations; numerical solution;
Citations & Related Records
Times Cited By KSCI : 10  (Citation Analysis)
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