Entropy estimation of a dynamical system via a contact interaction

V. Deeva, S. Slobodyan

Результат исследований: Материалы для книги/типы отчетовМатериалы для конференции

4 Цитирования (Scopus)

Аннотация

Over the last several decades the problem of predicting dynamical contact has played a major role in the effort to understand the contact interaction between sliding surfaces. The opportunity for direct visual observation of surfaces interaction is limited thereby the study of contact area formed by wear particles has stayed unsatisfactory. Entropy models have become popular statistical models in surface damage and other contact problems, and can be useful tools for obtaining estimates of dynamical systems. We propose an alternative approach for the problem of entropy estimation, based on the Kolmogorov–Sinai entropy for a dynamical system. In this paper, we extend a previous spatial stochastic model of the bounded entropy for binary space with different sets. We consider the dynamical contact between two surfaces with three probabilistic sets of the surface contact caused by the existence of microscopic surface roughness (the set of direct contact, the non-contact set, the set of “third body” – by wear particles). Based on this model, using the Kolmogorov entropy, we find the lower and the upper bounds of entropy of the dynamical system for these three probabilistic sets. Furthermore, we make sure that the value of entropy would be within the bounds of a range of ln 2; ln 3; 2⋅ln 2 depending on the surface states.

Язык оригиналаАнглийский
Название основной публикацииSafety and Reliability – Theory and Applications - Proceedings of the 27th European Safety and Reliability Conference, ESREL 2017
РедакторыMarko Cepin, Radim Briš
ИздательCRC Press/Balkema
Страницы2577-2584
Число страниц8
ISBN (печатное издание)9781138629370
DOI
СостояниеОпубликовано - 1 янв 2017
Событие27th European Safety and Reliability Conference, ESREL 2017 - Portorož, Словения
Продолжительность: 18 июн 201722 июн 2017

Серия публикаций

НазваниеSafety and Reliability - Theory and Applications - Proceedings of the 27th European Safety and Reliability Conference, ESREL 2017

Конференция

Конференция27th European Safety and Reliability Conference, ESREL 2017
СтранаСловения
ГородPortorož
Период18.6.1722.6.17

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality

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  • Цитировать

    Deeva, V., & Slobodyan, S. (2017). Entropy estimation of a dynamical system via a contact interaction. В M. Cepin, & R. Briš (Ред.), Safety and Reliability – Theory and Applications - Proceedings of the 27th European Safety and Reliability Conference, ESREL 2017 (стр. 2577-2584). (Safety and Reliability - Theory and Applications - Proceedings of the 27th European Safety and Reliability Conference, ESREL 2017). CRC Press/Balkema. https://doi.org/10.1201/9781315210469-327