Nonlinear Liquid Oscillation in a Cylindrical Tank with Eccentric Core Barrels

研究了偏心芯筒部分充液的圆柱形储罐内液体的非线性运动。在晃动运动的响应分析中，考虑了液面振荡的非线性。用变分原理推导出基本方程。将伽辽金法应用于基本方程，推导出控制液体表面振荡的非线性常微分方程。讨论了芯筒位置和半径对液面振荡的影响。计算了在谐波激励下液体表面位移的时程。用模型罐进行了试验。理论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具有重要意义。

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.