An approximate solution of a 2D rigid body motion problem on a rough surface
O. B. Fedicheva, P. O. Fedichevb
a Moscow Institute of Physics and Technology
b Quantum Pharmaceuticals
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.
dry friction, Galin disk, flat motion.
PDF file (167 kB)
MSC: 70E18, 70G60
O. B. Fedichev, P. O. Fedichev, “An approximate solution of a 2D rigid body motion problem on a rough surface”, Nelin. Dinam., 6:2 (2010), 359–364
Citation in format AMSBIB
\by O.~B.~Fedichev, P.~O.~Fedichev
\paper An approximate solution of a 2D rigid body motion problem on a rough surface
\jour Nelin. Dinam.
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