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Earthquakes and Structures Volume 7, Number 1, July 2014 , pages 1-15 DOI: https://doi.org/10.12989/eas.2014.7.1.001 |
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Accurate periodic solution for non-linear vibration of dynamical equations |
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Iman Pakar, Mahmoud Bayat and Mahdi Bayat
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| Abstract | ||
| In this paper we consider three different cases and we apply Variational Approach (VA) to solve the non-natural vibrations and oscillations. The method variational approach does not demand small perturbation and with only one iteration can lead to high accurate solution of the problem. Some patterns are presented for these three different cease to show the accuracy and effectiveness of the method. The results are compared with numerical solution using Runge-kutta | ||
| Key Words | ||
| variational approach; nonlinear oscillators; mathematical pendulum; Runge-Kutta | ||
| Address | ||
| Iman Pakar: Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran Mahmoud Bayat and Mahdi Bayat: Department of Civil Engineering, College of Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran | ||