Stable Response of the Low-Gravity Liquid Non-Linear Sloshing in a Circle Cylindrical Tank

HE Yuan-jun; MA Xing-rui; WANG Ben-li

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HE Yuan-jun, MA Xing-rui, WANG Ben-li. Stable Response of the Low-Gravity Liquid Non-Linear Sloshing in a Circle Cylindrical Tank[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1135-1145.

Citation:

HE Yuan-jun, MA Xing-rui, WANG Ben-li. Stable Response of the Low-Gravity Liquid Non-Linear Sloshing in a Circle Cylindrical Tank[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1135-1145.

Citation:

HE Yuan-jun, MA Xing-rui, WANG Ben-li. Stable Response of the Low-Gravity Liquid Non-Linear Sloshing in a Circle Cylindrical Tank[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1135-1145.

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Stable Response of the Low-Gravity Liquid Non-Linear Sloshing in a Circle Cylindrical Tank

1.
Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, P. R. China;

Received Date: 2006-04-04
Rev Recd Date: 2007-07-27
Publish Date: 2007-10-15

Abstract

Abstract

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.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.Variations of amplitude frequency response characteristics of the system with Bond,jump,lag and other nonlinear phenomena of liquid sloshing are investigated.
- circle cylindrical tank,
- nonlinear sloshing,
- low-gravity,
- multiple scales,
- stable response

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References(13)

References

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