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Title of Article

ON THE THEORY OF A NONAUTONOMOUS DYNAMICAL SYSTEM WITH HEREDITARY-TYPE DRY FRICTION


Issue
3
Date
2012

Section
MATHEMATICAL MODELING. ОPTIMAL CONTROL

Article type
scientific article
UDC
534.014
Pages
141-146
Keywords
mathematical model, point mappings, bifurcation diagram, hereditary-type dry friction


Authors
Zaytsev Mikhail Vladimirovich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Metrikin Vladimir Semenovich
NII PMK Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo


Abstract
Dynamics of the simplest system with hereditary-type dry friction and an external periodic force is examined. The bifurcation diagrams presented have made it possible to reveal the basic transformations of periodic and stochastic modes of motion depending on the system parameters (the amplitude and frequency of the external force, body's velocity and the form of functional dependence describing the change of the static friction coefficient).

File (in Russian)