Geodesic
Mathematical modeling of the rotating cylindrical shell torsional vibrations factored in the internal viscous fluid
Matematičeskoe modelirovanie i čislennye metody (2017), pp. 31-47

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The article introduces a mathematical model of the rotating cylindrical shell torsional vibrations with the viscous fluid flowing inside. We have developed an algorithm for defining the stress-strain state of the considered system’s points. As an example we examine the problem of torsional vibrations of the drill column rotating with constant angular velocity. The article estimates the influence of the internal viscous fluid flow and the centrifugal inertia force on the stressed-strain state of the system.
Keywords: cylindrical shell, displacement of point, strain, angular velocity.
Mots-clés : viscous fluid, torsional vibrations, torque, rotation 
@article{MMCM_2017_a2,
     author = {Kh. Kh. Khudoynazarov and Sh. M. Burkutboyev},
     title = {Mathematical modeling of the rotating cylindrical shell torsional vibrations factored in the internal viscous fluid},
     journal = {Matemati\v{c}eskoe modelirovanie i \v{c}islennye metody},
     pages = {31--47},
     publisher = {mathdoc},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMCM_2017_a2/}
}
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Kh. Kh. Khudoynazarov; Sh. M. Burkutboyev. Mathematical modeling of the rotating cylindrical shell torsional vibrations factored in the internal viscous fluid. Matematičeskoe modelirovanie i čislennye metody (2017), pp. 31-47. http://geodesic.mathdoc.fr/item/MMCM_2017_a2/