141 質量搭載偏平シェルパネルのカオス振動実験

概要

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Experimental results are presented on chaotic oscillations of a shallow shell-panel with a concentrated mass. The results are compared with the results for the shell-panel without a concentrated mass. The shell-panel is excited by periodic acceleration laterally. Chaotic responses are generated in specific regions of the exciting frequency. The chaotic responses are examined with the Poincare projections, the Fourier spectrum and the maximum Lyapunov exponent. The Lyapunov exponent of the chaotic response of the shell with the mass takes smaller value than that of the shell without a mass. Contribution of modes of vibration to the chaotic response is analyzed with the principal component analysis. The chaotic oscillation involves dynamic snap-through response. Moreover, the chaotic response of the shell involves more than three modes of vibration simultaneously. The patterns of the vibration modes which contributes to the chaotic responses are transformed by the concentrated mass.
一般社団法人日本機械学会の論文
2006-08-06