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Earthquakes and Structures Volume 11, Number 1, July 2016, pages 129-140 DOI: http://dx.doi.org/10.12989/eas.2016.11.1.129 |
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High conservative nonlinear vibration equations by means of energy balance method |
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Mahmoud Bayat, Iman Pakar and Mahdi Bayat
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| Abstract | ||
| This paper presents He´s Energy Balance Method (EBM) for solving nonlinear oscillatory differential equations. Three strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with numerical solutions using Runge-Kutta´s algorithm. The effects of different important parameters on the nonlinear response of the systems are studied. The results show the presented method is potentially to solve high nonlinear vibration equations. | ||
| Key Words | ||
| Energy Balance Method (EBM); Runge- Kutta´s Method (RKM); nonlinear vibrations | ||
| Address | ||
| Mahmoud Bayat: Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran Iman Pakar and Mahdi Bayat: Young Researchers and Elite club, Mashhad Branch, Islamic Azad University, Mashhad, Iran | ||