Features of dynamic processes in the “indentor – coating” system during tests on a tribometer
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...
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Format: | Article |
Language: | English |
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Samara National Research University
2023-05-01
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Series: | Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение |
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Online Access: | https://journals.ssau.ru/vestnik/article/viewFile/19315/9603 |
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author | I. V. Kolesnikov P. A. Koropets D. S. Manturov Ye. V. Shakhmatov |
author_facet | I. V. Kolesnikov P. A. Koropets D. S. Manturov Ye. V. Shakhmatov |
author_sort | I. V. Kolesnikov |
collection | DOAJ |
description | 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. |
first_indexed | 2024-03-13T05:08:04Z |
format | Article |
id | doaj.art-8a6551ff8fcd40f7a181f77e1078c531 |
institution | Directory Open Access Journal |
issn | 2542-0453 2541-7533 |
language | English |
last_indexed | 2024-03-13T05:08:04Z |
publishDate | 2023-05-01 |
publisher | Samara National Research University |
record_format | Article |
series | Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение |
spelling | doaj.art-8a6551ff8fcd40f7a181f77e1078c5312023-06-16T07:59:50ZengSamara National Research UniversityВестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение2542-04532541-75332023-05-01221758410.18287/2541-7533-2023-22-1-75-848841Features of dynamic processes in the “indentor – coating” system during tests on a tribometerI. V. Kolesnikov0https://orcid.org/0000-0002-3265-0871P. A. Koropets1https://orcid.org/0000-0001-6308-8095D. S. Manturov2https://orcid.org/0000-0002-9977-6997Ye. V. Shakhmatov3Rostov State Transport UniversityRostov State Transport UniversityRostov State Transport UniversitySamara National Research UniversityThe 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.https://journals.ssau.ru/vestnik/article/viewFile/19315/9603tribosystemcoatingblock diagramnonlinearityfeedbackdynamic chaosstrange attractorlimit cyclerandomness |
spellingShingle | I. V. Kolesnikov P. A. Koropets D. S. Manturov Ye. V. Shakhmatov Features of dynamic processes in the “indentor – coating” system during tests on a tribometer Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение tribosystem coating block diagram nonlinearity feedback dynamic chaos strange attractor limit cycle randomness |
title | Features of dynamic processes in the “indentor – coating” system during tests on a tribometer |
title_full | Features of dynamic processes in the “indentor – coating” system during tests on a tribometer |
title_fullStr | Features of dynamic processes in the “indentor – coating” system during tests on a tribometer |
title_full_unstemmed | Features of dynamic processes in the “indentor – coating” system during tests on a tribometer |
title_short | Features of dynamic processes in the “indentor – coating” system during tests on a tribometer |
title_sort | features of dynamic processes in the indentor coating system during tests on a tribometer |
topic | tribosystem coating block diagram nonlinearity feedback dynamic chaos strange attractor limit cycle randomness |
url | https://journals.ssau.ru/vestnik/article/viewFile/19315/9603 |
work_keys_str_mv | AT ivkolesnikov featuresofdynamicprocessesintheindentorcoatingsystemduringtestsonatribometer AT pakoropets featuresofdynamicprocessesintheindentorcoatingsystemduringtestsonatribometer AT dsmanturov featuresofdynamicprocessesintheindentorcoatingsystemduringtestsonatribometer AT yevshakhmatov featuresofdynamicprocessesintheindentorcoatingsystemduringtestsonatribometer |