Steel and Composite Structures

  • 제14권1호
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  • Pages.73-83
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  • 2013
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

On the large amplitude free vibrations of axially loaded Euler-Bernoulli beams

  • Bayat, Mahmoud (Department of Civil Engineering, Mashhad Branch, Islamic Azad University) ;
  • Pakar, Iman (Department of Civil Engineering, Mashhad Branch, Islamic Azad University) ;
  • Bayat, Mahdi (Department of Civil Engineering, Mashhad Branch, Islamic Azad University)
  • 투고 : 2012.06.02
  • 심사 : 2012.11.28
  • 발행 : 2013.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper Hamiltonian Approach (HA) have been used to analysis the nonlinear free vibration of Simply-Supported (S-S) and for the Clamped-Clamped (C-C) Euler-Bernoulli beams fixed at one end subjected to the axial loads. First we used Galerkin's method to obtain an ordinary differential equation from the governing nonlinear partial differential equation. The effect of different parameter such as variation of amplitude to the obtained on the non-linear frequency is considered. Comparison of HA with Runge-Kutta 4th leads to highly accurate solutions. It is predicted that Hamiltonian Approach can be applied easily for nonlinear problems in engineering.

키워드

참고문헌

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