I.A.Lukovsky, A.V.Solodun, A.N.Timokha A nonlinear asymptotic modal theory for resonant liquid sloshing in truncated conical tanks |
Acoustic bulletin, Vol. 14 ¹ 4, (2011) p. |
| The paper deals with considering of nonlinear resonant sloshing of an ideal incompressible liquid in a rigid truncated conical tank at its translatory oscillations with a frequency close to the lowest natural sloshing frequency. A nonlinear asymptotic modal theory is derived by the non-conformal mapping technique. An algorithm for finding of the hydrodynamic coefficients of the corresponding nonlinear modal system is proposed. The system is used to describe the steady-state liquid motions. The obtained results are compared with the experimental data. |
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KEY WORDS: an incompressible liquid, free surface, nonlinear oscillations, resonant motions, a modal asymptotic theory |
| TEXT LANGUAGE: Russian |