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IssuesArchive of Issues2013-1pp.19-30

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G.P. Sachkov, S.V. Feshchenko, and A.I. Chernomorskii, "Conditions for Slip- and Separation-Free Rolling of a Uniaxial Wheeled Transport Platform on a Rough Underlying Surface," Mech. Solids. 48 (1), 19-30 (2013)
Year 2013 Volume 48 Number 1 Pages 19-30
DOI 10.3103/S0025654413010032
Title Conditions for Slip- and Separation-Free Rolling of a Uniaxial Wheeled Transport Platform on a Rough Underlying Surface
Author(s) G.P. Sachkov (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, kaf305-mai@nm.ru)
S.V. Feshchenko (Public Joint Stock Company "Russian Aircraft Corporation "MIG"", 1 Botkinskii pr-d 7, Moscow, 125284 Russia, fesch@bk.ru)
A.I. Chernomorskii (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, kaf305-mai@nm.ru)
Abstract We study conditions for slip-free motion of a uniaxial wheeled transport platform (UWTP) on a rough underlying surface and a condition for the nonseparation of the wheels from this surface. We obtain a formal description of such conditions as a system of inequalities, which allows one to test them continuously in the course of motion of the UWTP. The conditions for slip- and separation-free motion are tested at each time instant by calculating the underlying surface constraint forces as functions of the measured kinematic parameters of the motion. In conclusion, an example of numerical construction of slip- and separation-free domains in the axes of angular velocities and accelerations of UWTP wheels for a prescribed angular motion of its platform with respect to the horizontal plane is given.
Keywords uniaxial wheeled platform, slip- and separation-free rolling, constraint force
References
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11.  G. P. Sachkov, S. V. Feshchenko, and A. I. Chernomorskiy, "Stabilization of Translational-Rotational Motion of Uniaxial Wheeled Platform along a Linear Trajectory," Izv. Ross. Akad. Nauk. Teor. Sist. Upr., No. 5, 148-157 (2010) [J. Comp. Syst. Sci. Int. (Engl. Transl.) 49 (5), 823-832 (2010)].
12.  A. I. Chernomorskii, S. V. Feshchenko, and G. P. Sachkov, "Horizontal Attitude Measurement Channel of the Nonholonomic Uniaxial Wheeled Platform," Vestnik MAI 17 (5), 134-157 (2010).
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Received 29 March 2010
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