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.
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收藏
页码：59 / 66
页数：7
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