2012Chuanbo lixueRequires access

Dynamic analysis of 3D liquid sloshing in container by the method of finite element

XU Cheng-xiang

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Abstract

The finite element method is employed to solve the eigenfrequencies and the modals of 3D liquid sloshing in container.Based on the establishment of eigenvalue equations of compressible liquid sloshing and neglecting of the tensile force of liquid surface,the finite element method is applied to calculate the eigenfrequencies of liquid sloshing by the static condensation for the finite element equations of liquid sloshing.The numerical results are compared with the analytical solution and the numerical example illustrates the reliability and availability of the proposed method.The results of the calculation are summarized and some rules of sloshing in cylindrical container are acquired.

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What this paper is about

The finite element method is employed to solve the eigenfrequencies and the modals of 3D liquid sloshing in container.Based on the establishment of eigenvalue equations of compressible liquid sloshing and neglecting of the tensile force of liquid surface,the finite element method is applied to calculate the eigenfrequencies of liquid sloshing by the static condensation for the finite element equations of liquid sloshing.The numerical results are compared with the analytical solution and the numerical example illustrates the reliability and availability of the proposed method.The results of the calculation are summarized and some rules of sloshing in cylindrical container are acquired.

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Available abstract

The finite element method is employed to solve the eigenfrequencies and the modals of 3D liquid sloshing in container.Based on the establishment of eigenvalue equations of compressible liquid sloshing and neglecting of the tensile force of liquid surface,the finite element method is applied to calculate the eigenfrequencies of liquid sloshing by the static condensation for the finite element equations of liquid sloshing.The numerical results are compared with the analytical solution and the numerical example illustrates the reliability and availability of the proposed method.The results of the calculation are summarized and some rules of sloshing in cylindrical container are acquired.

Key concepts: Slosh dynamics, Finite element method, Container (type theory), Structural engineering, Mechanics, Compressibility, Eigenvalues and eigenvectors, Vibration

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