摘要
本文采用有限元方法数值求解任意刚性容器内液体三维晃动的固有频率和模态。通过建立液体晃动特征问题的泛函极值原理,编制了四面体等参单元有限元程序,计算了平放圆柱腔内三维液体晃动的特征频率,并将矩形容器、球腔、带“十”字隔板球形容器内的液体三维晃动计算结果与解析解、实验结果和二维有限元数值解进行了比较,程序的正确性得到了验证。
A finite element method is employed to solve the eigen-frequencies and the modals of 3D liquid sloshing in arbitrary container in the present paper. Based on the establishment of the functional extreme principle of sloshing, a finite element program with isoparametric tetrahedron was composed and was applied to calculate the eigenfrequencies of liquid sloshing in a horizontal cylindrical container. The numerical results are compared with the experimental data, analytical solution and 2D FEM data which show the agreement is good.
出处
《力学季刊》
CSCD
北大核心
2003年第2期185-190,共6页
Chinese Quarterly of Mechanics
基金
中船总公司国防基础研究基金(项目号:99J41.4.4)
关键词
充液系统动力学
液体晃动
有限元方法
dynamics of liquid-filled system
liquid slosh
finite element method
