224 二つの長方形液体容器をもつ弾性構造物の水平励振下における非線形振動

概要

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Nonlinear vibrations of an elastic structure carrying two liquid-filled tanks under horizontal harmonic excitation are investigated. When a ratio 1:1:1 of internal resonance is satisfied among the natural frequencies of the structure and sloshing in the two liquid tanks, 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. Peculiar vibrations, called multi-mode vibrations, may appear depending on the values of the system parameters. They can never occur in a structure carrying only one liquid-filled tank. Namely, even if the dimensions of the two tanks are identical, each of sloshing in the two tanks may exhibit a different behavior depending on the excitation frequency. The multi-mode vibrations include constant amplitude vibrations and amplitude modulated motion as well as chaotic vibrations.
社団法人日本機械学会の論文
2005-08-22