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

비선형 경계조건을 가진 보의 정상상태 진동응답

  • Published : 1997.01.01

Abstract

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.

Keywords

Nonlinear Boundary Condition;Beam Vibration;Method of Multiple Scales;Subharmonic Resonance