Abstract
The problem of motion of a rigid body on a fixed horizontal plane is considered. The body consists of two identical symmetric plates. These plates are connected perpendicularly to one another in such a way that their symmetry axes form a single axis being the symmetry axis of the body. All equilibrium positions of the body on the plane are found and their stability analysis is performed. The particular case of a body consisting of two identical elliptic plates is studied.
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References
H. Dirnbök and H. Stachel, “The Development of the Oloid,” J. Geom. Graph. 1, 105–118 (1997).
A. S. Kuleshov, M. Hubbard, D. L. Peterson, and G. Gede, “Motion of the Oloid on the Horizontal Plane,” Nelin. Dinam. 7(4), 826–835 (2011).
M. O. Itskovich and A. S. Kuleshov, “Motion of a Rigid Body Consisting of Two Disks on a Horizontal Plane,” in Contemporary Problems in Mathematics and Mechanics (Mosk. Gos. Univ., Moscow, 2011), pp. 166–167.
A. T. Stewart, “Two Circle Roller,” Amer. J. Phys. 34, 166–167 (1966).
A. S. Kuleshov and M. O. Itskovich, “Motion of a Body Consisting of Two Elliptic Plates on a Horizontal Plane,” Vestn. St. Petersburg Univ. Ser. 1: Mat. Mekh. Astron., No. 3, 87–92 (2012).
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Original Russian Text © M.O. Itskovich, A.S. Kuleshov, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 2, pp. 36–41.
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Itskovich, M.O., Kuleshov, A.S. Horizontal motion of a body consisting of two symmetric plates. Moscow Univ. Mech. Bull. 70, 28–33 (2015). https://doi.org/10.3103/S0027133015020028
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DOI: https://doi.org/10.3103/S0027133015020028