Nonlinear Sloshing in a Cylindrical Tank with An Eccentric Core Barrel

研究了带偏心芯筒的部分充液圆柱形储罐中液体的非线性运动。在晃动响应分析中考虑了液面振动的非线性。利用变分原理推导了基本方程。将Galerkin方法应用于基本方程，得到了控制液面振荡的非线性常微分方程组。讨论了芯筒偏心对液面振荡的影响。推导了液面运动幅值的控制方程，并进行了稳定性分析。计算了简谐俯仰激励下的液面位移时程和频率响应曲线。利用模型水箱进行了实验研究。理论计算结果与实验结果吻合较好。结果表明，非线性分析对于估计晃动响应是非常重要的。

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.