Smart Structures and Systems

  • 제15권5호
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  • Pages.1311-1327
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  • 2015
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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Mathematical solution for nonlinear vibration equations using variational approach

  • Bayat, M. (Department of Civil Engineering, Mashhad Branch,Islamic Azad University) ;
  • Pakar, I. (Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University)
  • 투고 : 2014.02.02
  • 심사 : 2014.06.28
  • 발행 : 2015.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we have applied a new class of approximate analytical methods called Variational Approach (VA) for high nonlinear vibration equations. Three examples have been introduced and discussed. The effects of important parameters on the response of the problems have been considered. Runge-Kutta's algorithm has been used to prepare numerical solutions. The results of variational approach are compared with energy balance method and numerical and exact solutions. It has been established that the method is an easy mathematical tool for solving conservative nonlinear problems. The method doesn't need small perturbation and with only one iteration achieve us to a high accurate solution.

키워드

참고문헌

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