134 固定辺で面内弾性拘束を受ける長方形板のカオス振動実験

概要

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Experimental results are presented on chaotic vibrations of a rectangular plate with an in-plane elastic constraint. Opposite edges of the plate are clamped and the other edges are simply supported. One side of the clamped edges is connected with elastic springs and is movable to an in-plane direction. Under the selected in-plane compressive force, the plate has the conditions of internal resonances. By exciting the plate with periodic lateral acceleration, chaotic responses are obtained in specific frequency regions of excitation. The chaotic responses are examined with the Fourier spectra, the principal components analysis and the maximum Lyapunov exponents. It is found that the chaotic responses are generated with the condition of the internal resonances of multiple modes. In the dominant chaotic responses, the ultra-sub-harmonic resonance of 2/3 order with the first mode of vibration and the ultra-sub-harmonic resonance of 4/3 order with the second mode of vibration contribute to the chaotic response. By changing exiting amplitude, instability boundaries of the chaotic responses are also clarified.
社団法人日本機械学会の論文
2008-09-02