140 液体円筒容器を有する塔状構造物の非線形ふれ回り運動

概要

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Nonlinear whirling motion of a tower-like structure carrying a cylindrical tank partially filled with liquid is investigated when the structure is subjected to only horizontal harmonic excitation. When a ratio 1:1 of the tuning condition is satisfied between the natural frequencies of the structure and sloshing in the liquid tank, modal equations are derived considering the nonlinearity of the hydrodynamic force. Then, frequency response curves are theoretically calculated by using Andronov and Witt's method. They show that whirling motion and chaotic motion of the structure may occur depending on the frequency and magnitude of the excitation, because the swirl motion and amplitude modulated motion through Hopf bifurcation appear in the tank. These results were also observed in the experiments.
社団法人日本機械学会の論文
2006-08-06