Stable response of low-gravity liquid non-linear sloshing in a circle cylindrical tank

被引:0
|
作者
贺元军 [1 ]
马兴瑞 [2 ]
王本利 [3 ]
机构
[1] Center of Satellite Technology,Harbin Institute of Technology,Harbin 150001,P.R.China R & D,Sichuan Aerospace Industry Corporation,Chengdu 610100 P.R.China
[2] China Aerospace Science and Technology Corporation,Beijing 100830,P.R.China
[3] Center of Satellite Technology,Harbin Institute of Technology,Harbin 150001,P.R.China
关键词
circle cylindrical tank; nonlinear sloshing; low-gravity; multiple scales method; stable response;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
Under pitch excitation,the sloshing of liquid in circular cylindrical tank includes planar motion,rotary motion and rotary motion inside planar motion.The boundaries between stable motion and unstable motion depend on the radius of the tank,the liquid height,the gravitational intension,the surface tensor and the sloshing damping.In this article,the differential equations of nonlinear sloshing are built first. And by variational principle,the Lagrange function of liquid pressure is constructed in volume intergration form.Then the velocity potential function is expanded in series by wave height function at the free surface.The nonlinear equations with kinematics and dynamics free surface boundary conditions through variation are derived.At last,these equations are solved by multiple-scales method.The influence of Bond number on the global stable response of nonlinear liquid sloshing in circular cylinder tank is analyzed in detail.The result indicates that variation of amplitude frequency response characteristics of the system with Bond,jump,lag and other nonlinear phenomena of liquid sloshing are investigated.
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页码:1273 / 1285
页数:13
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