Structural Engineering and Mechanics

  • 제62권2호
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  • Pages.171-178
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  • 2017
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Vibration analysis of a beam on a nonlinear elastic foundation

  • Karahan, M.M. Fatih (Department of Mechanical Engineering, Manisa Celal Bayar University) ;
  • Pakdemirli, Mehmet (Department of Mechanical Engineering, Manisa Celal Bayar University)
  • 투고 : 2016.04.28
  • 심사 : 2017.01.02
  • 발행 : 2017.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

Nonlinear vibrations of an Euler-Bernoulli beam resting on a nonlinear elastic foundation are discussed. In search of approximate analytical solutions, the classical multiple scales (MS) and the multiple scales Lindstedt Poincare (MSLP) methods are used. The case of primary resonance is investigated. Amplitude and phase modulation equations are obtained. Steady state solutions are considered. Frequency response curves obtained by both methods are contrasted with each other with respect to the effect of various physical parameters. For weakly nonlinear systems, MS and MSLP solutions are in good agreement. For strong hardening nonlinearities, MSLP solutions exhibit the usual jump phenomena whereas MS solutions are not reliable producing backward curves which are unphysical.

키워드

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