Proceedings of the Korean Society for Noise and Vibration Engineering Conference (한국소음진동공학회:학술대회논문집)
- 1996.10a
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- Pages.275-281
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- 1996
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- 1598-2548(pISSN)
Validity of the Multiple Scale Solution for a Resonance Response of a Bar with a Nonlinear Boundary Condition
비선형 경계조건을 가진 봉의 공진응답을 위한 다중시간해의 타당성
Abstract
In order to examine the validity of an asymptotic solution obtained from the method of multiple scales, we investigate a third-order subharmonic resonance response of a bar constrained by a nonlinear spring to a harmonic excitation. The motion of the bar is governed by a linear partial differential equation with a nonlinear boundary condition. The nonlinear boundary value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution.
Keywords