비선형 경계조건을 가진 보의 정규모드진동

Normal Mode Vibrations of a Beam with a Nonlinear Boundary Condition

  • 김현기 (영남대학교 공업기술연구소) ;
  • 이원경 (영남대학교 기계공학부)
  • 발행 : 1998.04.01

초록

In order to check the validity of nonlinear normal modes of continuous, systems by means of the energy-based formulation, we consider a beam with a nonlinear boundary condition. The initial and boundary e c6nsl of a linear partial differential equation and a nonlinear boundary condition is reduced to a linear boundary value problem consisting of an 8th order ordinary differential equations and linear boundary conditions. After obtaining the asymptotic solution corresponding to each normal mode, we compare this with numerical results by the finite element method.

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