Asymptotic nonlinear multimodal method for liquid sloshing in an upright circular cylindrical tank. Part 1: Modal equations

• Published in: Нелінійні коливання
• Date: 2011
• Main Authors: Lukovsky, I., Ovchynnykov, D., Timokha, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175504
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotic nonlinear multimodal method for liquid sloshing in an upright circular cylindrical tank. Part 1: Modal equations / I. Lukovsky, D. Ovchynnykov, A. Timokha // Нелінійні коливання. — 2011. — Т. 14, № 4. — С. 482-495. — Бібліогр.: 41 назв. — англ.

Combining the variational method by Lukovsky – Miles and the Narimanov – Moiseev asymptotics, a nonlinear modal system describing the resonant liquid sloshing in an upright circular cylindrical tank is derived. Sloshing occurs due to a small-amplitude periodic or almost-periodic excitation with the...