用结构有限元程序进行液体晃动动力分析

Dynamic Analysis of Liquid Sloshing with Structural FEM Codes

讨论了液体 L aplace方程与弹性体 Navier方程之间的对应关系 ,通过引入适当的边界条件 ,构造了液体晃动的结构弹性体模型 ,最终将液体晃动动力问题归结为结构弹性体动力问题 ,从而直接应用结构有限元程序进行液体晃动动力分析 ,并对相应的有限元模型进行了深入讨论。揭示了液体晃动与结构弹性体振动的本质联系 ,便于应用结构有限元程序求解流体—结构耦合问题。算例验证了方法的正确性与有效性。

The structural counterpart of the liquid sloshing model is obtained. Thus, general-purpose structural FEM computer codes can be used,to the dynamic analysis of liquid sloshing without any modification. At the same time, the FEM equations of liquid sloshing are investigated and condensed. The present method can also be easily extended to solve liquid-structure interaction problems by using structural FEM codes. The numerical example illustrates the reliability and availability of the proposed method.