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IssuesArchive of Issues2015-3pp.353-358

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A.N. Nikiforov, G.Ya. Panovko, and V.P. Roizman, "Conditions for Stable Rotation of a Rotor with a Float Self-Balancer," Mech. Solids. 50 (3), 353-358 (2015)
Year 2015 Volume 50 Number 3 Pages 353-358
DOI 10.3103/S0025654415030115
Title Conditions for Stable Rotation of a Rotor with a Float Self-Balancer
Author(s) A.N. Nikiforov (Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, Malyi Kharitonievskii per. 4, Moscow, 101990 Russia, n.andre@mail.ru)
G.Ya. Panovko (Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, Malyi Kharitonievskii per. 4, Moscow, 101990 Russia, gpanovko@yandex.ru)
V.P. Roizman (Khmelnytskyi National University, ul. Instytuts'ka 11, Khmelnytskyi, 29016 Ukraine, royzman_v@mail.ru)
Abstract The angular velocities at which a flexible symmetric rotor with a float self-balancer loses dynamic stability are determined analytically and numerically depending on the external and internal viscous friction coefficients. The gyroscopic and refined inertial and potential forces of the system are considered. Conclusions about the efficiency of the use of such a device on high-speed rotors are made.
Keywords rotor, float self-balancer, dynamic stability of a system
References
1.  N. V. Derendyaev and V. M. Sandalov, "On the Stability of Steady Rotation of a Cylinder Partly Filled with a Viscous Incompressible Fluid," Prikl. Mat. Mekh. 46 (4), 578-586 (1982) [J. Appl. Math. Mech. (Engl. Transl.) 46 (4), 458-464 (1982)]
2.  V. A. Dubovik and E. N. Pashkov, "Stability of Steady-State Rotation of Unbalanced Rotor with Liquid Self-Balancing Device on Flexible Shaft," Izv. Tomsk. Politekh. Univ. 311 (2), 12-14 (2007).
3.  D. R. Merkin, Introduction to Theory of Stability of Motion. (Nauka, Moscow, 1971) [in Russian].
4.  K. P. Andreichenko, Dynamics of Floating Gyroscopes and Accelerometers. (Mashinovedenie, Moscow, 1987) [in Russian].
5.  A. N. Nikiforov, "Calculation of Wave Resonance Boundaries for a Rotor with Liquid and Baffles by the 'Equivalent Ellipse' Method," in Proc. 26th Inter. Innovation-Oriented Conf. of Young Scientists and Students in Problems of Machine Engineering "MIKMUS-2014", Moscow, December 17-19, 2014. (2014) [in Russian].
6.  F. M. Dimentberg, Flexural Vibrations of Rotating Shafts. (Izdat. AN SSSR, Moscow, 1959) [in Russian].
7.  L. Ya. Banakh and A. N. Nikiforov, "Action of Aerohydrodynamic Forces on High-Speed Rotor Systems," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 42-51 (2006) [Mech. Solids (Engl. Transl.) 41 (5), 34-42 (2006)].
Received 06 February 2013
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