대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제21권2호
  • /
  • Pages.337-345
  • /
  • 1997
  • /
  • 1226-4873(pISSN)
  • /
  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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비선형 경계조건을 가진 보의 정상상태 진동응답

Steady-state Vibration Responses of a Beam with a Nonlinear Boundary Condition

  • 이원경 (영남대학교 기계공학부) ;
  • 여명환 (영남대학교 대학원 기계공학부)
  • Lee, Won-Kyoung (Dept.of Mechanical Engineering, Yeungnam University) ;
  • Yeo, Myeong-Hwan (Dept.of Mechanical Engineering, Graduate School of Yeungnam University)
  • 발행 : 1997.01.01
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초록

An analysis is presented for the response of a beam constrained by a nonlinear spring to a harmonic excitation. The system is governed by a linear partial differential equation with a nonlinear boundary condition. The method of multiple scales is used to reduce the nonlinear boundary value problem to a system of autonomous ordinary differential equations of the amplitudes and phases. The case of the third-order subharmonic resonance is considered in this study. The autonomous system is used to determine the steady-state responses and their stability.

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