2003•Chinese Quarterly of MechanicsRequires access

Finite Element Method for Eigen Problem of Liquid 3D Sloshing

Zhengwei Wang

Abstract

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.

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Key concepts: Slosh dynamics, Finite element method, Tetrahedron, Container (type theory), Eigenvalues and eigenvectors, Mixed finite element method, Mathematics, Structural engineering