| 矩形贮箱内液体非线性晃动动力学建模与分析 |
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| 引用本文： | 陈科,李俊峰,王天舒.矩形贮箱内液体非线性晃动动力学建模与分析[J].力学学报,2005,37(3):339-345. |
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| 作者姓名： | 陈科 李俊峰 王天舒 |
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| 作者单位： | 清华大学航天航空学院,北京,100084;清华大学航天航空学院,北京,100084;清华大学航天航空学院,北京,100084 |
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| 基金项目： | 国家自然科学基金资助项目(10172048,10302013) |
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| 摘 要： | 基于理想流体的假设，根据H-O原理建立了充液贮箱刚体平动与液体非线
性晃动的耦合动力学方程，通过引入改进的势函数描述刚体和液体之间的动边界. 利用伽辽
金方法对动力学方程进行了离散. 针对液体非线性晃动情况，与ALE有限元方法、边界元方
法的结果进行了比较，验证了方法的可行性. 对刚体平动和液体非线性晃动耦合的情
况，数值模拟了多种外力激励下系统的响应. 利用等效力学模型解释了耦合系统固有频率升
高的现象.
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| 关 键 词： | 非线性晃动 充液系统 流刚耦合 等效模型 伽辽金方法 |
| 文章编号： | 0459-1879(2005)03-0339-07 |
| 修稿时间： | 2004年1月9日 |
Nonlinear dynamics modeling and analysis of liquid sloshing in rectangle tank |
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| Chen Ke,Li Junfeng,Wang Tianshu.Nonlinear dynamics modeling and analysis of liquid sloshing in rectangle tank[J].chinese journal of theoretical and applied mechanics,2005,37(3):339-345. |
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| Authors: | Chen Ke Li Junfeng Wang Tianshu |
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| Abstract: | Based on the assumption of the ideal fluid, the coupled dynamics equations of movement of rigid tank and nonlinear sloshing of liquid are established through H-O principle, with the modified potential function introduced to describe the moving boundary of rigid tank and fluid. Galerkin's method is used to discrete the equations. Benchmarked with some FEM and BEM results, feasibility of the present method is proved. The responses of the coupled system to the excitement by some forces are simulated. The equivalent theory is used to explain the increase of the natural frequencies. |
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| Keywords: | nonlinear sloshing liquid-filled system rigid-liquid coupled system equivalent model Galerkin's method |
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