Abstract
Analytical results are presented on chaotic 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. Time progress of the beam, including chaotic response, is calculated with numerical integration. Effects of the amplitude and phase of the axial excitation are examined on the nonlinear periodic responses and the chaotic responses of the beam. Amplitude of nonlinear periodic responses and width of frequency region where chaotic responses are generated deeply depend on the phase difference between the dynamic response of the beam and the axial excitation.
