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Attraction property of a gimbal gyro with an electric motor

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Abstract

We consider an unbalanced gimbal gyro with vertical outer suspension axis mounted on an immovable base in the gravity field and supplied with an electric motor. The equations of motion of such a system admit a family of solutions describing its steady-state motions (regular precessions and rotor uniform rotations). We show that, in the case of an isolated minimum of the reduced potential energy, the perturbed motions tend in the course of time to steady-state motions in the same family (even in the critical cases of stability).

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Rozy Luksemburg 74, Donetsk, 83114, Ukraine

    B. I. Konosevich & Yu. B. Konosevich

Authors
  1. B. I. Konosevich
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  2. Yu. B. Konosevich
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Corresponding author

Correspondence to B. I. Konosevich.

Additional information

Original Russian Text © B.I. Konosevich, Yu.B. Konosevich, 2014, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2014, No. 4, pp. 3–14.

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Konosevich, B.I., Konosevich, Y.B. Attraction property of a gimbal gyro with an electric motor. Mech. Solids 49, 361–369 (2014). https://doi.org/10.3103/S0025654414040013

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  • DOI: https://doi.org/10.3103/S0025654414040013

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