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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2009, Issue 2, Pages 75–88
(Mi vuu15)
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This article is cited in 1 scientific paper (total in 1 paper)
MECHANICS
On the settings of problems in dynamics of a rigid body with constraints and Painlevé paradoxes
G. M. Rozenblat Moscow Automobile and Road Institute
Abstract:
We consider basic concepts for setting the problems of motion of a rigid body with constraints (with and without dry friction). The main accent is placed upon the prehistory of initial condition of a problems, which should be formulated in a correct manner which would not require introducing additional hypothesis and assumptions which make one to leave the frames of the rigid body dynamics without impacts. With such correct formulation, the dynamics of motion (or equilibrium) of rigid bodies can be described without occurence of some paradoxic situations (Painlevé paradoxes). The presented methodology is illustrated by three well-known problems in mechanics: 1) rigid body with a single contact point with a surface in the presence of dry friction, 2) sliding bar in the sliding ways with dry friction, 3) rigid body with two point contact in the presence of dry friction (“bench”).
Keywords:
system with constraints, dry friction, Painlevé paradoxes.
Received: 20.04.2009
Citation:
G. M. Rozenblat, “On the settings of problems in dynamics of a rigid body with constraints and Painlevé paradoxes”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2, 75–88
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https://www.mathnet.ru/eng/vuu15 https://www.mathnet.ru/eng/vuu/y2009/i2/p75
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Abstract page: | 314 | Full-text PDF : | 211 | References: | 34 | First page: | 1 |
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