储液容器内液体晃动问题的动力学建模与模拟

The Dynamics of the Problem Modeling and Numerical Simulation of Liquid Sloshing in Liquid Storage Container

基于声学模型算法,流体采用声学单元,自由液面"削皮"成膜单元,两者使用弹簧单元连接,建立矩形储液罐三维晃动数学模型.以ABAQUS软件平台,编制相应的分析程序,分析了液体晃动的特征频率、模态,并将其与解析解对比.结果表明:应用本文方法具有较高度,计算结果与理论值吻合较好,为研究储液罐晃动动力特性分析提供了一种新的分析方法.然后,分析了矩形储液罐在不同液体高宽比时,其晃动频率与液体深度、宽度的关系,并从中获得矩形储液晃动的一般规律.

Based on acoustic models, the fluid can be modeled as an acoustic medium, discretized with acous- tic elements, and the free surface of the fluid must be ＇ skinned＇ with membrane elements, and a grounded spring is attached to each node on the free surface of the fluid. Using the finite element package ABAQUS, weestablished the finite element model of 3D liquid sloshing in rectangular tank, analysed the eigenfrequencies and the modals of liquid sloshing, and the numerical results were compared with analytical solution. The re- sults show that, by ABAQUS numerical simulation with high precision, this work illuminates the availability and reliability of the proposed method, which provides a new analysis method for the study of dynamic analysis of 3D liquid sloshing. Finally, the author analyzed the shaking frequency and liquid depth, width of the rela- tionship of such systems with different liquid height to width ratios considered.