Generalizing the Faraday Problem of the Parametric Oscillations of a Cylindrical Tank Partially Filled with a Fluid

被引：2

作者：

Konstantinov A.V. ^{[1
]}

Limarchenko O.S. ^{[2
]}

Mel’nik V.N. ^{[2
]}

Semenova I.Y. ^{[2
]}

机构：

[1] S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv

[2] Taras Shevchenko National University of Kyiv, 4e Glushkova Av., Kyiv

来源：

International Applied Mechanics | 2017年 / 53卷 / 01期

关键词：

combined motion; generalized Faraday problem; instability domain; nonlinear dynamics; parametric resonance;

D O I：

10.1007/s10778-017-0790-x

中图分类号：

学科分类号：

摘要：

The nonlinear dynamics of a tank partially filled with a fluid for the generalized Faraday problem is studied. The classical Faraday problem is generalized in two ways: (i) the mechanical system is allowed to translate in a horizontal plane, which is an additional degree of freedom and (ii) the tank can undergo vertical harmonic oscillations either in a prescribed manner (as in the classical Faraday problem) or under the action of a vertical force. It is shown that in the presence of the additional degree of freedom, the dynamic processes in the system develop as a combination of parametric resonance and forced oscillations. In this case, the nonlinear vibrations of the system can be induced by either kinematic perturbations or dynamic excitation (force). © 2017, Springer Science+Business Media New York.

引用

页码：59 / 66

页数：7

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