Abstract:
A mathematical model of the influence of a medium on a solid body with some part of its external surface being flat is considered with due allowance for an additional dependence of the moment of the medium action force on the angular velocity of the body. A full system of equations of motion is given under quasi-steady conditions; the dynamic part of this system forms an independent third-order system, and an independent second-order subsystem is identified. A new family of phase portraits on a phase cylinder of quasi-velocities is obtained. It is demonstrated that the results obtained allow one to design hollow circular cylinders (“shell cases”), which can ensure necessary stability in conducting additional full-scale experiments.
Keywords:
solid body, resistant medium, equations of motion, phase portrait.
Citation:
M. V. Shamolin, “On the problem of free deceleration of a solid in a resistant medium”, Prikl. Mekh. Tekh. Fiz., 57:4 (2016), 43–56; J. Appl. Mech. Tech. Phys., 57:4 (2016), 611–622
\Bibitem{Sha16}
\by M.~V.~Shamolin
\paper On the problem of free deceleration of a solid in a resistant medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 4
\pages 43--56
\mathnet{http://mi.mathnet.ru/pmtf813}
\crossref{https://doi.org/10.15372/PMTF20160405}
\elib{https://elibrary.ru/item.asp?id=26493339}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 4
\pages 611--622
\crossref{https://doi.org/10.1134/S0021894416040052}
Linking options:
https://www.mathnet.ru/eng/pmtf813
https://www.mathnet.ru/eng/pmtf/v57/i4/p43
This publication is cited in the following 2 articles:
M. V. Shamolin, “Semeistva portretov klassov dinamicheskikh sistem mayatnikovogo tipa”, Geometriya i mekhanika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 202, VINITI RAN, M., 2021, 70–98
M. V. Shamolin, “Simulation of the spatial action of a medium on a body of conical form”, J. Appl. Industr. Math., 12:2 (2018), 347–354
Citation in format AMSBIB
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