Structural Engineering and Mechanics

  • 제43권3호
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  • Pages.337-347
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  • 2012
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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 analytical solution for nonlinear free vibration of beams

  • Bayat, M. (Department of Civil Engineering, Mashhad Branch, Islamic Azad University) ;
  • Pakar, I. (Department of Civil Engineering, Mashhad Branch, Islamic Azad University)
  • 투고 : 2011.08.23
  • 심사 : 2012.06.26
  • 발행 : 2012.08.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, Hamiltonian Approach (HA) is applied to analysis the nonlinear free vibration of beams. Two well-known examples are illustrated to show the efficiency of this method. One of them deals with the Nonlinear vibration of an electrostatically actuated microbeam and the other is the nonlinear vibrations of tapered beams. This new approach prepares us to achieve the beam's natural frequencies and mode shapes easily and a rapidly convergent sequence is obtained during the solution. The effects of the small parameters on the frequency of the beams are discussed. Some comparisons are conducted between the results obtained by the Hamiltonian Approach (HA) and numerical solutions using to illustrate the effectiveness and convenience of the proposed methods.

키워드

참고문헌

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