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Steel and Composite Structures Volume 16, Number 5, May 2014 , pages 521-531 DOI: https://doi.org/10.12989/scs.2014.16.5.521 |
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Accurate periodic solution for nonlinear vibration of thick circular sector slab |
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Iman Pakar, Mahmoud Bayat and Mahdi Bayat
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| Abstract | ||
| In this paper we consider a periodic solution for nonlinear free vibration of conservative systems for thick circular sector slabs. In Energy Balance Method (EBM) contrary to the conventional methods, only one iteration leads to high accuracy of the solutions. The excellent agreement of the approximate frequencies and periodic solutions with the exact ones could be established. Some patterns are given to illustrate the effectiveness and convenience of the methodology. Comparing with numerical solutions shows that the energy balance method can converge to the numerical solutions very rapidly which are valid for a wide range of vibration amplitudes as indicated in this paper. | ||
| Key Words | ||
| thick circular sector cylinder; nonlinear vibration; energy balance method | ||
| Address | ||
| (1) Iman Pakar, Mahdi Bayat: Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran; (2) Mahmoud Bayat: Department of Civil Engineering, College of Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran. | ||