液体を部分的に封入した中空回転体の自励振動解析 : 浅水長波近似による非線形解析(機械力学,計測,自動制御)

概要

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An axially symmetric cylinder, mounted on an elastic support system and partially filled with liquid is assumed to undergo a whirling motion parallel to the axis. Rotor unbalance, gravity, and gyroscopic terms are considered negligible and liquid motion is taken as being axially uniform. In the analysis, shallow-water theory is applied assuming that a liquid layer is thin, and nonlinear effects that exist in the surface wave of a liquid in a rotor are considered to predict the finite amplitude of whirl motions. The modal coupling equations including the nonlinear effects of the wave motion are presented by applying Galerkin's method. Periodical solutions are determined by applying the harmonic balance method to the modal coupling equations. Whirl amplitudes predicted by the analysis are compared with the experimental results in the previous works. The time series analysis on the modal coupling equations shows periodic and aperiodic amplitude modulations at a particular rotating speed region.
2007-11-25