Nonlinear Sloshing in a Cylindrical Tank with An Eccentric Core Barrel

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。讨论了岩心筒偏心对液面振荡的影响。推导了液面运动振幅的控制方程，并进行了稳定性分析。计算了俯仰简谐激励下的液面位移时程和频率响应曲线。利用模型水池进行了实验。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 an eccentric core barrel 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 eccentricity of core barrel on liquid surface oscillation are discussed. The governing equations of the amplitude of liquid surface motions are derived, and the stability analysis is conducted. The time histories and frequency response curves of the liquid surface displacement are calculated to the harmonic pitching excitations. An experiment was conducted using a model tank. 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.