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Motion of a solid body supported on a narrow rectangular area on a horizontal plane with orthotropic friction. Part 1. Inertia motion

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Abstract

The problem of motion of a solid body which rests on a narrow rectangular area carried on a horizontal plane is discussed, assuming that the force of friction is orthotropic. A relationship is formulated between the velocity of the point of intersection of the diagonals of this area and the angular velocity of the body at the moment of stopping. The findings can be applied to simulation of the motion of a system of bodies and to solution of contact problems.

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References

  1. Rozenblat, G.M., Dinamicheskie sistemy s treniem (Dynamic Systems with Friction), Moscow, 2005.

  2. Dmitriev, N.N., Motion of Rod with Displaced Center of Mass on a Plane with Anisotropic Friction, J. Friction Wear, 2007, vol. 28, no. 4, pp. 354–358.

    Article  Google Scholar 

  3. Lur’e, A.I., Analytical Mechanics, Berlin: Springer, 2010.

    Google Scholar 

  4. Zmitrowicz, A., A Theoretical Model of Anisotropic Dry Friction, Wear, 1981, vol. 73, no. 1, pp. 9–39.

    Article  Google Scholar 

  5. Smyshlyaev, A.S. and Chernous’ko, F.L., Rod Equilibrium Conditions on Rough Surface, Prikl. Mat. Mekh., 2002, vol. 66, no. 2, 177–182.

    MathSciNet  Google Scholar 

  6. Konyukhov, A., Vielsack, P., and Schweizerhof, K., On Coupled Models of Anisotropic Contact Surfaces and Their Experimental Validation, Wear, 2008, vol. 264, pp. 579–588.

    Article  Google Scholar 

  7. Chernous’ko, F.L., About Three-Section Unit Motion on Plane, Prikl. Mat. Mekh., 2001, vol. 65, no. 1, pp. 15–20

    MATH  Google Scholar 

  8. Argatov, I.I., Pressure of the Narrow Rectangular Punch on Elastic Support, Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, 2002, no. 2, pp. 58–67.

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskii pr. 28, Staryi Petergof, St. Petersburg, 198504, Russia

    N. N. Dmitriev

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  1. N. N. Dmitriev
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Correspondence to N. N. Dmitriev.

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Original Russian Text © N.N. Dmitriev, 2011, published in Trenie i Iznos, 2011, Vol. 32, No. 4, pp. 362–374.

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Dmitriev, N.N. Motion of a solid body supported on a narrow rectangular area on a horizontal plane with orthotropic friction. Part 1. Inertia motion. J. Frict. Wear 32, 276–285 (2011). https://doi.org/10.3103/S1068366611040039

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  • DOI: https://doi.org/10.3103/S1068366611040039

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