Nonlinear Response of a Liquid Surface in Lateral Sloshing

概要

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An experimental study is presented outlining the dynamic behavior of a liquid in a cylindrical container subject to horizontal oscillation. The nonlinear effects on dynamic characteristics of the liquid-surface response are investigated. At low excitation acceleration, the liquid surface responds in a concentric standing wave. For excitation acceleration above a critical value, surface instability leads to azimuthal standing waves at half the excitation frequency. The time-dependent amplitudes of the standing waves have been measured using an optoelectronic device equipped with a laser diode as a light source. The frequency spectrum of the local surface deformation has also been computed using fast-Fourier-transform methods. It was found that a subharmonic bifurcation occurred at the critical excitation acceleration. At higher excitation acceleration, the free surface responses became chaotic. In order to visualize the attractor, phase portraits were constructed by embedding the trajectories in a two-dimensional phase space.
一般社団法人日本機械学会の論文
1989-08-15