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Steel and Composite Structures Volume 17, Number 1, July 2014 , pages 133-143 DOI: https://doi.org/10.12989/scs.2014.17.1.133 |
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Nonlinear vibration of thin circular sector cylinder: An analytical approach |
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Iman Pakar, Mahmoud Bayat and Mahdi Bayat
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| Abstract | ||
| In this paper, we try to prepare an accurate analytical solution for solving nonlinear vibration of thin circular sector cylinder. A new approximate solution called variational approach is presented and correctly applied to the governing equation of thin circular sector cylinder. The effect of important parameters on the response of the problem is considered. Some comparisons have been presented between the numerical solution and the present approach. The results show an excellent agreement between these methods. It has been illustrated that the variational approach can be a useful method to solve nonlinear problems by considering the effects of important parameters. | ||
| Key Words | ||
| thin circular sector cylinder; nonlinear vibration; variational approach | ||
| Address | ||
| (1) Iman Pakar: Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran; (2) Mahmoud Bayat, Mahdi Bayat: Department of Civil Engineering, College of Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran. | ||