221 鉛直励振を受ける構造物と円筒容器内スロッシングの非線形連成振動(非軸対称モードとの共振)

概要

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The nonlinear-coupled vibrations of an elastic structure and liquid sloshing in a cylindrical tank are investigated. When the structure is vertically subjected to a sinusoidal excitation, and when the natural frequency of the structure is equal to twice the natural frequency of an anti-symmetric mode of sloshing, modal equations governing the coupled motions are derived. Then, the theoretical resonance curves are presented by using the method of modified harmonic balance. The influences of liquid level and detuning parameter on the theoretical resonance curves are shown. The small deviation of the tuning condition can cause amplitude-modulated motions and separate the occurrence region of the coupled vibration into two regions. In the experiments, the theoretical resonance curves were qualitatively in agreement with the experimental results. In addition, amplitude-modulated motions were observed.
社団法人日本機械学会の論文
2000-09-01