Structural Engineering and Mechanics

  • 제27권3호
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  • Pages.333-345
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  • 2007
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Non linear vibrations of stepped beam system under different boundary conditions

  • Ozkaya, E. (Dept. of Mechanical Engineering, Celal Bayar University) ;
  • Tekin, A. (Celal Bayar University)
  • 투고 : 2006.05.08
  • 심사 : 2007.04.03
  • 발행 : 2007.10.20
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, the nonlinear vibrations of stepped beams having different boundary conditions were investigated. The equations of motions were obtained using Hamilton's principle and made non dimensional. The stretching effect induced non-linear terms to the equations. Forcing and damping terms were also included in the equations. The dimensionless equations were solved for six different set of boundary conditions. A perturbation method was applied to the equations of motions. The first terms of the perturbation series lead to the linear problem. Natural frequencies for the linear problem were calculated exactly for different boundary conditions. Second order non-linear terms of the perturbation series behave as corrections to the linear problem. Amplitude and phase modulation equations were obtained. Non-linear free and forced vibrations were investigated in detail. The effects of the position and magnitude of the step, as well as effects of different boundary conditions on the vibrations, were determined.

키워드

과제정보

연구 과제 주관 기관 : Technical Research Council of Turkey (TUBITAK)

참고문헌

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