759 変断面アーチのカオス振動における空間挙動の実験(連続体・カオス)(OS.13 : 非線形現象の解明と応用)

概要

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This paper presents an experiment of chaotic vibrations of a thin arch with variable cross section.The arch is excited laterally by the shaker.The chaotic responses of the arch is examined by power spectrum, Poincare projection, maximum Lyapnov exponent and Karhunen-Loeve method. The spatial distribution of the chaotic responces are recorded by the high speed video camera. Following conclusion was obtained. The chaotic attractor of the arch forms multiple loops onto the Poincare projection. The chaotic response is generated due to an internal resonance. The internal resonance has the one to one relations between the fundamental mode and second mode of the vibrations. The embedded dimention at the maximum Lyapnov exponents of the responce converges to four, therefore the chaotic response predominated two degree of freedom.
一般社団法人日本機械学会の論文
2001-08-03