Geodesic
An approximate solution of a 2D rigid body motion problem on a rough surface
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 359-364

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We report a novel general method for constructing an approximate solution of the planar motion of solids with an axially symmetric mass distribution and normal stresses over the contact area on a rough horizontal surface. For a disk characterized by Galin distribution of contact stresses we obtain explicit dependence of the angular and sliding velocity of the body as a function of time. The relative errors of the method do not exceed 1,5–2%. The simplicity and high accuracy of the method let us recommend its applications in the practice of engineering calculations.
Keywords: dry friction, Galin disk, flat motion. 
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     author = {O. B. Fedichev and P. O. Fedichev},
     title = {An approximate solution of a {2D} rigid body motion problem on a rough surface},
     journal = {Russian journal of nonlinear dynamics},
     pages = {359--364},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2010_6_2_a8/}
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O. B. Fedichev; P. O. Fedichev. An approximate solution of a 2D rigid body motion problem on a rough surface. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 359-364. http://geodesic.mathdoc.fr/item/ND_2010_6_2_a8/