I.A.Lukovsky, A.V.Solodun, A.N.Timokha Natural vibrations of a liquid in truncated conical tanks |
Acoustic bulletin, Vol. 9 ¹ 3, (2006) |
| The paper deals with proposing the variational methods for solving the spectral boundary value problem occurring at free oscillations (sloshing) of a liquid in truncated conical tanks with circular cross-sections. The approximate solutions are obtained by the Ritz-Treftz methods with respect to the two types of a coordinate basis. Computational experiments for evaluating the natural sloshing frequencies were conducted for various shapes of truncated conical tanks (both the right and inverted ones). The numerical data are compared with the results by other authors, that were predominantly obtained for the conical tanks with small semi-apex angles. |
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KEY WORDS: conical tank, liquid sloshing, variational methods, eigenmodes |
| TEXT LANGUAGE: Russian |