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    Mariya Munitsyna

    Leninskie gory 1, Moscow, 119991, Russia
    M. V. Lomonosov Moscow State University


    Munitsyn A. I., Munitsyna M. A.
    An analytical solution of the problem of forced oscillation of the solid parallelepiped on a horizontal base is presented. It is assumed that the slippage between the body and the base is absent, and the base moves harmonically in a horizontal direction. It is also assumed that the height of the box is much larger than the width. The dissipation of impact is taken into account in the framework of Newton’s hypothesis. The forced oscillation modes of parallelepiped corresponding to the main and two subharmonic resonances are found by using the averaging method. The results are shown in the form of amplitude-frequency characteristics.
    Keywords: supported plane, nonlinear oscillations, averaging method
    Citation: Munitsyn A. I., Munitsyna M. A.,  Oscillations of a solid parallelepiped on a supported base, Rus. J. Nonlin. Dyn., 2016, Vol. 12, No. 1, pp.  91-98
    Munitsyna M. A.
    The Contensou–Zhuravlev model [1, 2] is extended to include the case of planar elliptic contact of a convex body with a horizontal plane. The Padé approximations of expressions for determining the friction force and friction torque are constructed. The resulting model is applied to the numerical investigation of the dynamics of a homogeneous ellipsoid of revolution on a horizontal plane.
    Keywords: dry friction, Coulomb law
    Citation: Munitsyna M. A.,  The friction model in the case of a planar elliptic contact of a body with the supporting surface, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 4, pp.  705-712

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