21606 固定端で面内弾性拘束を受ける座屈後板のカオス振動実験(振動解析とその応用II,OS.2 振動解析とその応用)

概要

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Experimental results are presented on chaotic vibrations of a buckled plate with an in-plane elastic constraint at clamped edges. At the boundary of the plate, a couple of opposite edges is clamped for deflection, while the other edges are simply supported.The plate is excited by lateral periodeic acceleration. Chaotic responses are examined by the Fourier spectra, the maximum Lyapunov exponents and the Poincare projection. In the specific regions of the exciting frequency, chaotic responses are generated accompanied with the dynamic snap-through transition from the ultra-subharmonic resonance of 2/3 order and from the sub-harmonic resonance of 1/2 order of the lowest vibration mode. Furthermore, another chaotic response is generated involving one-to-three internal resonance between the lowest and the fifth vibration mode. Contribution of vibration modes to the chaotic responses is analyzed by the principal component analysis.
社団法人日本機械学会の論文
2007-03-15