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    An approximate solution of a 2D rigid body motion problem on a rough surface

    2010, Vol. 6, No. 2, pp.  359-364

    Author(s): Fedichev O. B., Fedichev P. O.

    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
    Citation: Fedichev O. B., Fedichev P. O., An approximate solution of a 2D rigid body motion problem on a rough surface, Rus. J. Nonlin. Dyn., 2010, Vol. 6, No. 2, pp.  359-364
    DOI:10.20537/nd1002009


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