Nonlinear Sloshing in a Cylindrical Tank with An Eccentric Core Barrel

带偏心核心筒的圆柱形储罐中的非线性晃动

• 批准号: 16560204
• 负责人: TAKAHARA Hiroki
• 金额: $ 2.37万
• 依托单位: Tokyo Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2004
• 资助国家: 日本
• 起止时间: 2004 至 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-16560204/
• 关键词: Sloshing; Nonlinear Vibration; Cylindrical Tank; Internal Structure; Internal Resonance; Frequency Response Curve; 二重円筒容器; 円筒容器

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.

研究了带有偏心芯枪管的部分填充圆柱罐中的非线性液体运动。液体表面振荡的非线性在晃动运动的响应分析中考虑。基本方程是通过采用变分原理来得出的。然后，通过将Galerkin的方法应用于基本方程式来得出有关液体表面振荡的非线性普通微分方程。讨论了核心枪管对液体表面振荡的影响。得出了液体表面运动振幅的控制方程，并进行了稳定性分析。液态表面位移的时间历史和频率响应曲线计算为谐波倾斜激发。使用模型箱进行了实验。在理论和实验结果之间发现了良好的一致性。结果表明，非线性分析对于估计诽谤响应很重要。