対辺で固定された偏平円筒曲板のカオス振動実験(<特集>D&D 2008)

概要

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This study presents experimental results on chaotic vibrations of a shallow cylindrial shell-panel with clamped and simply-supported boundaries. Both opposite sides of rectangular boundaries are clamped by blocks and the other opposite sides are simply supported by flexible films. First, to find fundamental properties of the shell-panel, the linear natural frequencies and the characteristics of restoring force of the shell-panel are measured. The characteristic of restoring force of the shell-panel shows a type of a soften-hardening spring. Then, the shell-panel is excited with lateral periodic acceleration. In typical ranges of the exciting frequency, non-periodic responses are generated. These responses are examined with the Fourier spectra, the principal component analysis, the maximum Lyapunov exponents and the Poincare projections. The responses are found to be the chaotic responses. The chaotic responses accompany with sub-harmonic resonance responses of the order 1/2. The chaotic responses are generated from internal resonances dominated by the lowest mode and higher modes of vibration.
社団法人日本機械学会の論文
2009-05-25