246 固定-自由の境界を有する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 vibrations of a shallow cylindrical shell-panel under in-plane forces. Opposite edges of the panel are clamped and the other edges are free. One side of the clamped edges is connected with spring plates and is stretched to an in-plane direction. By exciting the panel with periodic lateral acceleration, chaotic responses are generated in specific frequency regions of excitation. The chaotic responses are examined with the Fourier spectra and the maximum Lyapunov exponents. It is found that the chaotic responses are generated due to the internal resonances. Applying the Karhunen-Loeve method, contributions of vibration modes on the chaotic responses are clarified. Under the in-plane force, which is free of in-plane constraint, the symmetric mode with one circumferential half wave and one longitudinal half wave contributes dominantly to the chaotic responses. Under the in-plane tensile force, which is 78% for the magnitude of the buckling load, the asymmetric mode with two circumferential half waves and one longitudinal half wave shows a large contribution.
一般社団法人日本機械学会の論文
2009-08-03