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On the Force Interaction in Problems of Dynamics of Elastic Reservoirs Partially Filled with Liquid

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We consider a nonlinear problem of determination of the forces of interaction between a moving reservoir with deformable walls and a liquid that partially fills the vessel. For the dynamics of the relative motion of mechanical systems in the gravity field, we establish theorems on variations of the principal vectors of momentum and angular momentum in the body–liquid system in the case where the center of mass of the system is unknown in advance. We formulate the principles of construction of the nonlinear mathematical models of motion of the analyzed mechanical systems as a whole in terms of nonlinear ordinary differential equations.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivs’ka Str., 3, Kyiv, 01004, Ukraine

    I. O. Lukovs’kyi

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  1. I. O. Lukovs’kyi
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Translated from Neliniini Kolyvannya, Vol. 21, No. 1, pp. 54–65, January–February, 2018.

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Lukovs’kyi, I.O. On the Force Interaction in Problems of Dynamics of Elastic Reservoirs Partially Filled with Liquid. J Math Sci 240, 276–288 (2019). https://doi.org/10.1007/s10958-019-04353-3

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  • DOI: https://doi.org/10.1007/s10958-019-04353-3

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