Publisher : The Korean Society of Mechanical Engineers
DOI : 10.22634/KSME-A.1922.214.171.1247
Title & Authors
Steady-state Vibration Responses of a Beam with a Nonlinear Boundary Condition Lee, Won-Kyoung; Yeo, Myeong-Hwan;
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.
Nonlinear Boundary Condition;Beam Vibration;Method of Multiple Scales;Subharmonic Resonance;