Nonlinear modal equations for a levitating drop

• Published in: Нелінійні коливання
• Date: 2012
• Main Authors: Chernova, M.O., Lukovsky, I.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175879
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonlinear modal equations for a levitating drop / M.O. Chernova, I.A. Lukovsky // Нелінійні коливання. — 2012. — Т. 15, № 3. — С. 390-406. — Бібліогр.: 21 назв. — англ.

Based on variational method, the paper derives nonlinear modal equations describing the dynamics of a levitating drop. Using these equations, we construct an asymptotic modal theory for axisymmetric drop oscillations. We consider nonlinear free oscillations of the drop with the frequency close to th...