Structural Engineering and Mechanics

  • 제61권5호
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  • Pages.657-661
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  • 2017
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Accurate semi-analytical solution for nonlinear vibration of conservative mechanical problems

  • Bayat, Mahmoud (Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University) ;
  • Pakar, Iman (Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University)
  • 투고 : 2016.09.08
  • 심사 : 2016.12.22
  • 발행 : 2017.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, it has been tried to propose a new semi analytical approach for solving nonlinear vibration of conservative systems. Hamiltonian approach is presented and applied to high nonlinear vibration systems. Hamiltonian approach leads us to high accurate solution using only one iteration. The method doesn't need any small perturbation and sufficiently accurate to both linear and nonlinear problems in engineering. The results are compared with numerical solution using Runge-Kutta-algorithm. The procedure of numerical solution are presented in detail. Hamiltonian approach could be simply apply to other powerfully non-natural oscillations and it could be found widely feasible in engineering and science.

키워드

참고문헌

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피인용 문헌

  1. Analytical study on non-natural vibration equations vol.24, pp.6, 2017, https://doi.org/10.12989/scs.2017.24.6.671
  2. Extended implicit integration process by utilizing nonlinear dynamics in finite element vol.64, pp.4, 2017, https://doi.org/10.12989/sem.2017.64.4.495
  3. Nonlinear frequency analysis of beams resting on elastic foundation using max-min approach vol.16, pp.4, 2017, https://doi.org/10.12989/gae.2018.16.4.355