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利用位移格式的有限单元法研究液体晃荡行为。对二维刚性边界条件和三维弹性边界条件矩形储液容器液体晃荡进行分析。得到液体晃荡固有频率、自由液面瞬时高度和自由液面高度时间历程曲线等。二维刚性边界条件的结果与线性解析解具有很好的一致性,验证了有限单元法的适用性。在弹性边界条件下给出了自由液面瞬时高度、自由液面高度时间历程曲线和弹性容器的等效应力,反映了液体晃荡对弹性容器的影响。突出了基于位移格式的有限单元法在处理弹性边界条件液体晃荡问题的优势。
Study on sloshing behavior of liquid using finite element method of displacement format. The liquid sloshing in rectangular reservoirs with two-dimensional rigid boundary conditions and three-dimensional elastic boundary conditions was analyzed. Get the liquid sloshing natural frequency, the free surface instantaneous height and free surface height time course curve. The results of two-dimensional rigid boundary conditions are in good agreement with the linear analytical solutions, and the applicability of the finite element method is verified. Under the elastic boundary conditions, the instantaneous height of free surface, the curve of height of free liquid surface and the equivalent stress of elastic container are given, which shows the influence of liquid sloshing on flexible container. The advantages of the finite element method based on displacement format in dealing with the liquid sloshing problem in elastic boundary conditions are highlighted.