144 初期たわみを有する円環板のカオス振動実験

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This paper presents an experiment on chaotic oscillation of a circular annular plate. The plate is clamped at internal boundary and is free along outer circumference. When the plate is subjected to periodic excitation, a large-amplitude response is generated by resonance. The time response is measured by a laser displacement sensor and is examined by the Poincare maps and the Lyapunov Exponent. Predominant response is confirmed to be chaos due to internal resonance. Both symmetric and asymmetric modes of vibration with one nodal diameter contribute to the chaotic oscillation. Furthermore, the time response of the plate is measured at four points simultaneously and principal components were obtained by the Karhunen-Loeve transformation. Vibrating configuration is also recorded by a high speed video camera. It is found that, several modes of vibration having nodal diameters are generated simultaneously in the chaos. In the chaos, traveling waves irregularly propagates to the circumferential direction.
2002-09-13