Email this article Damping of a system of linear oscillators using the generalized dry friction
- Authors: Ovseevich A.I.1, Fedorov A.K.1,2
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Affiliations:
- Institute for Problems in Mechanics
- Bauman Moscow State Technical University
- Issue: Vol 293, No Suppl 1 (2016)
- Pages: 156-165
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173575
- DOI: https://doi.org/10.1134/S008154381605014X
- ID: 173575
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Abstract
The problem of damping a system of linear oscillators is considered. The problem is solved by using a control in the form of dry friction. The motion of the system under the control is governed by a system of differential equations with discontinuous right-hand side. A uniqueness and continuity theorem is proved for the phase flow of this system. Thus, the control in the form of generalized dry friction defines the motion of the system of oscillators uniquely.
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About the authors
A. I. Ovseevich
Institute for Problems in Mechanics
Author for correspondence.
Email: ovseev@ipmnet.ru
Russian Federation, pr. Vernadskogo 101/1, Moscow, 119526
A. K. Fedorov
Institute for Problems in Mechanics; Bauman Moscow State Technical University
Email: ovseev@ipmnet.ru
Russian Federation, pr. Vernadskogo 101/1, Moscow, 119526; ul. 2-ya Baumanskaya 5, Moscow, 105005
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