Damped resonant steady-state sloshing in an upright circular tank
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. Estimating the damping coefficients (ratios) by using Miles’ formula shows that the damping may matter for laboratory tanks. An asympt...
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| Date: | 2017 |
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| Keywords: | keywords |
| Main Authors: | , , , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2017
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/345 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | 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. Estimating the damping coefficients (ratios) by using Miles’ formula shows that the damping may matter for laboratory tanks. An asymptotic steady-state solution of the modal system is derived for a prescribed cyclic tank motion with four (sway/surge/pitch/roll) degrees of freedom; the forcing frequency is close to the lowest natural sloshing frequency. The steady-state response curves by the two lowestorder natural sloshing mode amplitudes are examined versus the semi-axes ratio of the artificial elliptic orbit. |
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