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Title of Article

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


Issue
4
Date
2014

Article type
scientific article
UDC
534.014
Pages
470-475
Keywords
mathematical model, point mappings, bifurcation diagram, hereditary-type dry friction, chaos


Authors
Zaytsev M.V.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Metrikin V.S.
NIIprikladnoymatematikiikibernetiki Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo


Abstract
Dynamics of a vibrating system with hereditary-type dry friction and a periodic external action on one of the system objects is studied. A bifurcation approach in studying dynamics has 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 and the forms of the functional dependence describing the change of the static friction coefficient).

File (in Russian)