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| Low-gravity liquid nonlinear sloshing in a cylindrical tank under pitching excitation |
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| DOI：10.7511/jslx20083057 |
| KeyWord:cylindrical tank,nonlinear sloshing,low-gravity,Lagrange function |
| HE Yuan-jun WANG Ping-ping MA Xing-rui WANG Ben-li |
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| Abstract: |
| In low gravity,the Lagrange equations of nonlinear liquid sloshing by variational principle in the form of volume integration of pressure are developed.Based on this,the analytical solution of nonlinear liquid sloshing in pitching tank can be investigated.Then the velocity potential function is expanded in series of wave height function at the free surface so that the nonlinear equations with kinematics and dynamics free surface boundary conditions are derived.At last,these equations are solved by the fourth-order Runge-Kutta method.Through the example of a rigid,cylindrical tank,open tank without baffles,the liquid nonlinear sloshing problem is investigated.The result indicates that the mode of system and wave height function going from stable to unstable by the gradual change of the pitch excitation frequency,because of the primary non-planar sloshing mode and the secondary non-planar sloshing mode losing stable at the same time. |
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