20605 円形と矩形の混合境界を有する平板のカオス振動実験(OS6 非線形振動・カオス振動(1),オーガナイズドセッション)

概要

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Experimental results are presented on a plate with mixed boundary of circular and rectangular shape. The plate is excited by lateral periodic acceleration. In a typical frequency range, a non-periodic response is observed. The non-periodic response is examined by the Fourier spectrum and the maximum Lyapunov exponent. The response is found to be the chaotic response which is generated from the internal resonance with the lowest mode and three higher modes. The time response also shows the irregular movement with amplitude modulation. Applying the principal component analysis on the long time interval responses, it is found that five modes of vibration are generated in the chaos. The lowest mode of vibration and the sixth mode of vibration contribute to the chaos dominantly. Furthermore, the principal component is calculated on the chaotic response with short time intervals. In the larger amplitude response, the response is dominated by the lowest mode of vibration. On the contrary, in the smaller amplitude of the response, the responses of higher modes of vibration are increased.
2010-03-09