 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.P. Ivanov, "Extremum property of constraint reactions," J. Appl. Math. Mech. 76 (2), 142-153 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
2 |
Pages |
142-153 |
| Title |
Extremum property of constraint reactions |
| Author(s) |
A.P. Ivanov (Moscow, Russia, apivanov@orc.ru) |
| Abstract |
The problem of finding constraint reactions in mechanical systems is discussed. It is shown that in a number of cases its solution reduces to finding the minimum of the generalized potential energy, whose expression depends on the active forces and the inertial forces and includes the strain energy. The condition of a minimum value provides a means, in particular, to single out "the most realistic" solution of statically indeterminate problems. In systems with Coulomb static friction, verification of the equilibrium conditions can be reduced to a convex minimization problem. Typical expressions for the generalized potential energy in systems with kinetic friction with one bilateral or unilateral constraint, which enable the dynamics of the system to be determined in cases of indeterminancy, are presented. |
| Received |
19 April 2011 |
| Link to Fulltext |
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