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Quasi-optimal deceleration of rotational motion of a dynamically symmetric rigid body in a resisting medium

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Abstract

We study the problem of quasi-optimal (with respect to the response time) deceleration of rotational motion of a free rigid body which experiences a small retarding torque generated by a linearly resisting medium. We assume that the undeformed body is dynamically symmetric and its mass is concentrated on the symmetry axis. A system of nonlinear differential equations describing the evolution of rotation of the rigid body is obtained and studied.

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Authors and Affiliations

  1. Odessa State Academy of Civil Engineering and Architecture, ul. Didrikhsona 4, Odessa, 65029, Ukraine

    Ya. S. Zinkevich

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  1. Ya. S. Zinkevich
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Correspondence to Ya. S. Zinkevich.

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Original Russian Text © Ya.S. Zinkevich, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 2, pp. 26–31.

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Zinkevich, Y.S. Quasi-optimal deceleration of rotational motion of a dynamically symmetric rigid body in a resisting medium. Mech. Solids 51, 156–160 (2016). https://doi.org/10.3103/S0025654416020035

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  • DOI: https://doi.org/10.3103/S0025654416020035

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