Nonlinear Liquid Oscillation in a Cylindrical Tank with Eccentric Core Barrels

本文研究了偏心圆柱形容器中液体的非线性运动。在晃动响应分析中考虑了液面振荡的非线性。利用变分原理导出了基本方程。应用伽辽金法对基本方程组进行求解，导出了控制液面振荡的非线性常微分方程组。讨论了芯筒位置和半径对液面振荡的影响。计算了简谐激励下液面位移的时间历程。利用模型水箱进行了一项实验。理论和实验结果之间有很好的一致性。结果表明，非线性分析是重要的晃动响应估计。

The nonlinear liquid motion in a partially filled cylindrical tank with eccentric core barrels is investigated. The nonlinearity of the liquid surface oscillation is considered in the response analysis of the sloshing motion. Basic equations are derived by employing the variational principle. The nonlinear ordinary differential equations governing the liquid surface oscillation are then derived by applying Galerkin's method to the basic equations. The effects of the position and the radii of core barrels on liquid surface oscillation are discussed. The time histories of the liquid surface displacement are calculated to the harmonic excitations. An experiment was conducted using model tanks. A good agreement was found between the theoretical and experimental results. It is shown that the nonlinear analysis is important for estimating the sloshing responses.