Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2010-1pp.61-67

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A.P. Ivanov, "The use of the constructive method in systems with static friction," J. Appl. Math. Mech. 74 (1), 61-67 (2010)
Year 2010 Volume 74 Issue 1 Pages 61-67
Title The use of the constructive method in systems with static friction
Author(s) A.P. Ivanov (Moscow, Russia, apivanov@orc.ru)
Abstract The problem of determining the accelerations in a mechanical system with friction at zero initial velocities is discussed. To approximate the solutions, an auxiliary system is constructed in which non-ideal geometrical constraints are produced by elastic forces, the structure of which complies with the static-friction law. It is proved that the auxiliary system is always solvable for the accelerations (possibly, non-uniquely) and hence a solution of the initial system also exists and can be constructed by taking a certain limit.
Received 10 June 2009
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