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Problem of the Parametric Oscillations of a Noncylindrical Tank Partially Filled with a Fluid

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The nonlinear dynamics of a mechanical system consisting of a cylindrical tank partially filled with a fluid for the generalized Faraday problem is studied. Unlike the classical Faraday problem, the tank can undergo transverse horizontal motion, which is an additional degree of freedom for the system. Also, the tank can undergo vertical harmonic oscillations either in a prescribed manner (as in the classical Faraday problem) or under a vertical force. The parametric oscillations of the free liquid surface in a noncylindrical tank are considered. It is shown that with the additional degree of freedom, the dynamic processes in the system combine a parametric resonance and forced oscillations. In this case, the system can oscillate nonlinearly due to both kinematic perturbations and dynamic excitation (force). The effect of the inclination of the tank walls on the parametric oscillations is established

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkovskaya St., Kyiv, Ukraine, 01601

    A. V. Konstantinov

  2. T. G. Shevchenko Kiev National University, 4e Glushkova Av., Kyiv, Ukraine, 01033

    O. S. Limarchenko, V. N. Mel’nik & I. Yu. Semenova

Authors
  1. A. V. Konstantinov
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  2. O. S. Limarchenko
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  3. V. N. Mel’nik
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  4. I. Yu. Semenova
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Corresponding author

Correspondence to A. V. Konstantinov.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 52, No. 6, pp. 49–57, November–December, 2016.

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Konstantinov, A.V., Limarchenko, O.S., Mel’nik, V.N. et al. Problem of the Parametric Oscillations of a Noncylindrical Tank Partially Filled with a Fluid. Int Appl Mech 52, 599–604 (2016). https://doi.org/10.1007/s10778-016-0780-4

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  • DOI: https://doi.org/10.1007/s10778-016-0780-4

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