Proceedings of the Korean Society for Noise and Vibration Engineering Conference (한국소음진동공학회:학술대회논문집)
- 1998.04a
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- Pages.392-398
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- 1998
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- 1598-2548(pISSN)
Normal Mode Vibrations of a Beam with a Nonlinear Boundary Condition
비선형 경계조건을 가진 보의 정규모드진동
Abstract
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.
Keywords