NONLINEAR MODAL EQUATIONS FOR A LEVITATING DROP

摘要

Based on variational method, we deduce 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 a frequency close to the lowest natural frequency. The results are compared with experimental data and numerical results obtained by other authors.