Damped resonant steady-state sloshing in an upright circular tank

• Дата: 2017
• Автори та афіліації: I. A. Raynovskyy — Institute of Mathematics; A. N. Timokha — Institute of Mathematics
• Ключові слова: keywords
• Автори: Raynovskyy, I. A., Timokha, A. N., Райновский, И. А., Тимоха, А. Н., Райновський, І. А., Тімоха, О. М.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/345
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

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.