The damped sloshing in an upright circular tank due to an orbital forcing

1Timokha, AN, 2Raynovskyy, IA
1Institute of Mathematics of the NAS of Ukraine, Kyiv
2Centre of Excellence "Autonomous Marine Operations and Systems", Norwegian University of Science and Technology, Trondheim, Norway
Dopov. Nac. akad. nauk Ukr. 2017, 10:48-53
Section: Mechanics
Language: English

The nonlinear Narimanov—Moiseev-type modal system with linear damping terms is employed to study the damped steady-state resonant sloshing in an upright circular tank due to a prescribed horizontal orbital (elliptic) tank motion with the forcing frequency close to the lowest natural sloshing frequency. Whereas the undamped sloshing implies coexisting the co-directed (with forcing) and counter-directed angular progressive waves (swirling), the damping makes the counter-directed swirling impossible as the forcing orbit tends to a circle.

Keywords: damping, sloshing, steady-state waves
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