Entropy estimation of a dynamical system via a contact interaction

Dettagli Bibliografici
Parent link:Safety and Reliability. Theory and Applications
European Safety and Reliability Conference, (ESREL 2017).— 2017.— [P. 2577-2584]
Autore principale: Deeva V. S. Vera Stepanovna
Ente Autore: Национальный исследовательский Томский политехнический университет Инженерная школа природных ресурсов Отделение нефтегазового дела
Altri autori: Slobodyan S. M. Stepan Mikhaylovich
Riassunto:Title screen
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
Lingua:inglese
Pubblicazione: 2017
Soggetti:
Accesso online:https://doi.org/10.1201/9781315210469
Natura: Elettronico Capitolo di libro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664895

Documenti analoghi