225 集中ばね質量を有する円筒シェルパネルのカオス振動実験

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Experimental results are presented for chaotic oscillations of a cylindrical shell-panel with a concentrated spring. The shell with square boundary is simply supported along all edges. Two magnets are attached at the center of the shell and base frame, respectively. The shell is supported by the magnetic repulsive force. Characteristic of nonlinear restoring force of the shell shows the type of soft-hardning spring involving negative slope. Deflection of the shell has a atatic equlibriam by a gravitation force. The shell is excited by periodic acceleration. The chaotic responses are tested for the shell with the spring and the shell without the spring, respectively. Frequency response curves are examined whether chaotic responses are excited. The chaotic responses are confirmed by the Fourier spectrum, the Poincare' map and the maximum Lyapunov exponent. For the shell with the spring, snap-through buckling occures with small magnitude of loading. Chaotic responses are generated for a wide range of frequency. The chaos accompanies with subharmonic resonance responses of the order 1/2 and 1/3,respectively. The maxmum Lyapunov exponents for individual chaotic response shows positive λ_<max>=2.
一般社団法人日本機械学会の論文
2000-09-01