21603 軸方向と横方向に周期加振を受ける軸弾性拘束された座屈後はりのカオス振動(振動解析とその応用I,OS.2 振動解析とその応用)

抄録

Analytical results are presented on chaotic oscillations of a post-buckled clamped beam constrained by an axial elastic spring subjected to combined axial-and-lateral excitations. Equations of the 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 non-periodic response, is calculated with numerical integration. Effects of the amplitude and phase of the axial excitation are carefully examined on the responses of the beam. It is found that transitions between non-resonance, principal and chaotic oscillation are sensitive to the amplitude and phase of the axial excitation. Both in the analysis and in the experiment, transition phenomena between the chaotic response and the periodic response are observed, by switching the axial excitation.