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Structural Engineering and Mechanics Volume 65, Number 4, February25 2018 , pages 409-413 DOI: https://doi.org/10.12989/sem.2018.65.4.409 |
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Nonlinear vibration of oscillatory systems using semi-analytical approach |
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Mahmoud Bayat, Mahdi Bayat and Iman Pakar
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| Abstract | ||
| In this paper, He\'s Variational Approach (VA) is used to solve high nonlinear vibration equations. The proposed approach leads us to high accurate solution compared with other numerical methods. It has been established that this method works very well for whole range of initial amplitudes. The method is sufficient for both linear and nonlinear engineering problems. The accuracy of this method is shown graphically and the results tabulated and results compared with numerical solutions. | ||
| Key Words | ||
| variational approach (VA); nonlinear oscillators; Runge-Kutta\'s algorithm | ||
| Address | ||
| Mahmoud Bayat: Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran Mahdi Bayat: Department of Civil Engineering, Roudehen Branch, Islamic Azad University, Roudehen, Iran Iman Pakar: Young Researchers and Elite club, Mashhad Branch, Islamic Azad University, Mashhad, Iran | ||