Motion of a solid body supported on a narrow rectangular area on a horizontal plane with orthotropic friction. Part 1. Inertia motion
Source abstract
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.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Adhesion, Friction, and Surface Interactions · Dynamics and Control of Mechanical Systems · Robot Manipulation and Learning
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (8)
Show source-provided 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. 354–358.10.3103/S1068366607040058 ↗
3. Lur’e, A.I., Analytical Mechanics, Berlin: Springer, 2010.
4. Zmitrowicz, A., A Theoretical Model of Anisotropic Dry Friction, Wear, 1981, vol. 73, no. 1, pp. 9–39.10.1016/0043-1648(81)90207-6 ↗
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.
6. Konyukhov, A., Vielsack, P., and Schweizerhof, K., On Coupled Models of Anisotropic Contact Surfaces and Their Experimental Validation, Wear, 2008, vol. 264, pp. 579–588.10.1016/j.wear.2007.05.006 ↗
7. Chernous’ko, F.L., About Three-Section Unit Motion on Plane, Prikl. Mat. Mekh., 2001, vol. 65, no. 1, pp. 15–20
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.