245 斜め水平励振を受ける構造物と矩形容器内液面の非線形連成振動

概要

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Nonlinear vibrations of an elastic structure, with a nearly square liquid tank obliquely attached, under horizontal harmonic excitation are investigated. When the tuning condition, a ratio 1:1:1, is satisfied among the natural frequencies of the structure and two sloshing modes (1,0) and (0,1), the equation of motion for the structure and the modal equations for sloshing are derived considering the nonlinearity of sloshing. Then, van der Pol's method is employed to determine the frequency response curves. The influences of the system parameters on the response curves are investigated. Hopf bifurcations occur and amplitude modulated motions including chaotic vibrations appear depending on the excitation amplitude and frequency. The validity of the theoretical results was confirmed by experiments.
2009-08-03