330 Nonlinear Vibrations of a Post-buckled Beam Subjected to Periodic Lateral Force and Periodic Axial Displacement via Elastic Constraint

Abstract

Analytical results are presented on nonlinear vibrations of a post-buckled beam constrained by an axial spring under axial and lateral excitations. Equations of motion of the beam are derived including the term of parametric excitation due to the axial excitation. Nonlinear periodic responses are calculated with the harmonic balance method. Effects of the amplitude and phase of the axial excitation are examined on the nonlinear periodic responses of the beam. Amplitude of nonlinear periodic responses deeply depend on the phase difference between the dynamic response of the beam and the axial excitation.