Coupling dynamic analysis of a liquid-filled spherical container subject to arbitrary excitation  

作　　者：Jing Lü Shimin Wang Tianshu Wang 

机构地区：[1]School of Aeronautics Science and Engineering,Beihang University,100191 Beijing,China [2]School of Aerospace,Tsinghua University,100084 Beijing,China

出　　处：《Acta Mechanica Sinica》2012年第4期1154-1162,共9页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(11102006,11172145);the Research Fund for the Doctoral Program of Higher Education(20101102120013)

摘　　要：Using spherical coordinates, the coupling nonlinear dynamic system of a liquid-filled spherical tank, which can be excited discretionarily, is deduced by the H-O varia- tional principle, and the viscous damping is introduced via the liquid dissipation function. The kinetic equations of the coupling system are deduced by the relationship between the velocity of liquid particles and the disturbed liquid surface equation. Normal differential equations are obtained through the Galerkin method. An equivalent mechanical model is developed for liquid sloshing in a spherical tank subject to arbitrary excitation. The fixed and slosh masses, as well as the spring and damping constants, are determined in such a way as to satisfy the principle of equivalence. Numerical simulations illustrate the theoretical results in this paper as well.Using spherical coordinates, the coupling nonlinear dynamic system of a liquid-filled spherical tank, which can be excited discretionarily, is deduced by the H-O varia- tional principle, and the viscous damping is introduced via the liquid dissipation function. The kinetic equations of the coupling system are deduced by the relationship between the velocity of liquid particles and the disturbed liquid surface equation. Normal differential equations are obtained through the Galerkin method. An equivalent mechanical model is developed for liquid sloshing in a spherical tank subject to arbitrary excitation. The fixed and slosh masses, as well as the spring and damping constants, are determined in such a way as to satisfy the principle of equivalence. Numerical simulations illustrate the theoretical results in this paper as well.

关 键 词：Liquid-filled spherical tank. Coupling nonlinear system Arbitrary excitation Equivalent mechanical model Spherical coordinates 

分 类 号：O411.1[理学—理论物理] U238[理学—物理]