Abstract
The problem of motion of a spherical segment on the inner surface of a hemisphere with dry friction is studied. A number of expressions for the pressure density coefficients are obtained in the case when this density depends linearly on coordinates. These coefficients are determined for the special cases of sliding or rotation and are used to derive expressions for forces and moments.
Similar content being viewed by others
References
V. A. Samsonov, “Effect of Sliding and Pivoting on Friction,” Vestn. Mosk. Univ., Ser. 1: Mat. Mekh., No. 2, 76–78 (1981) [Moscow Univ. Mech. Bull. 36 (1/2), 43–45 (1981)].
V. A. Sinitsyn, “Motion of a Rigid Body with a Flat Foundation on a Rough Surface,” in Analytical Mechanics and Motion Control (Dorodnitsyn Vychisl. Tsentr Akad. Nauk, Moscow, 1985), pp. 87–93.
A. P. Ivanov, Theory of Systems with Friction (Inst. Komp’yut. Issled., Izhevsk, 2011) [in Russian].
A. V. Karapetyan and A. M. Rusinova, “A Qualitative Analysis of the Dynamics of a Disc on an Inclined Plane with Friction,” Prikl. Mat. Mekh. 75(5), 731–737 (2011) [J. Appl. Math. Mech. 75 (5), 511–516 (2011)].
T. V. Sal’nikova, D. V. Treshchev, and S. R. Gallyamov, “On the Motion of a Free Disc on a Rough Horizontal Plane,” Nelin. Dinam. 8(1), 83–101 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Zhulidova, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 1, pp. 45–50.
About this article
Cite this article
Zhulidova, A.A. Force interaction simulation for the motion of a spherical segment on a spherical surface with friction. Moscow Univ. Mech. Bull. 70, 13–18 (2015). https://doi.org/10.3103/S0027133015010033
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027133015010033