310 正方形液体容器による2自由度柔軟構造物の制振解析

概要

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Nonlinear whirling motion of a tower-like structure carrying a square tank partially filled with liquid is investigated when the structure is subjected to only horizontal harmonic excitation. In the theoretical analysis, when a ratio 1:1:1 of the tuning condition is satisfied between the natural frequencies of the structure and two sloshing modes, the equations of motion for the 2-DOF structure and the modal equations of motion for sloshing are derived considering the nonlinearity of the hydrodynamic force. Frequency response curves are theoretically determined and then numerically calculated. The influences of the excitation frequency, the excitation direction, the liquid level and the aspect ratio of the tank cross-section on the response curves are examined. The theoretical results show that whirling motion and chaotic motion may occur in the structure, because the swirl motion and amplitude modulated motion through Hopf bifurcation appear in the tank. It is also found that square tanks work more efficiently as a tuned liquid damper than rectangular tanks.
一般社団法人日本機械学会の論文
2011-09-05