Features of dynamic processes in the “indentor – coating” system during tests on a tribometer

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Abstract

The features of a nonlinear model of the “indenter-coating” tribosystem of a tribometer are considered. It is shown that with an increase in the amplitude of harmonic perturbation, the dynamic system goes through the stage of doubling the cycle and passes into the regime of deterministic chaos. At the exit from chaos, it is possible to establish various synergistic regimes that stably retain their parameters even with a multiple decrease in the amplitude of the disturbance. A block diagram of the implementation of the evolutionary model is presented. As a result of the formation of equilibrium roughness, the motion of the system is a strange attractor. To substantiate the randomness of the strange attractor, an analysis of the amplitude-frequency characteristic of the ideal regenerative delay element with a gain factor less than unity, was carried out. The physical meaning of the strange attractor is that in a cyclic mode, a nonlinear dynamic system whose cycle time exceeds the period of natural oscillations by more than two orders of magnitude cannot come to the beginning of a new cycle with exactly the same parameters as to the beginning of the current cycle.

About the authors

I. V. Kolesnikov

Rostov State Transport University

Author for correspondence.
Email: oooedt@rambler.ru
ORCID iD: 0000-0002-3265-0871

Corresponding Member of the Russian Academy of Sciences,
Head of the Research Laboratory “Nanotechnologies and New Materials”

Russian Federation

P. A. Koropets

Rostov State Transport University

Email: pkoropets@gmail.com
ORCID iD: 0000-0001-6308-8095

Candidate of Science (Engineering), Senior Researcher of the Research Department “Theoretical Mechanics”

Russian Federation

D. S. Manturov

Rostov State Transport University

Email: manturovds@rgups.ru
ORCID iD: 0000-0002-9977-6997

Candidate of Science (Engineering), Senior Researcher of the Research Department “Theoretical Mechanics”

Russian Federation

Ye. V. Shakhmatov

Samara National Research University

Email: shakhm@ssau.ru

Academician of the Russian Academy of Sciences, 
Head of the Department of Power Plant Automatic Systems

Russian Federation

References

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