Stochastic Processes Occurring during the Transition of Technical State of the Structure
The possibility of applying the theory of stochastic processes for evaluating the dynamic pattern of different states is studied for critical-duty structures. Heterogeneous Markovian processes of technical state transition for metallurgical overhead crane structure, Markovian theorem and Kolmogorov-...
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EDP Sciences
2021
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oai:doaj.org-article:50d91b37c9104ccea1ab49cd605717382021-11-08T15:20:32ZStochastic Processes Occurring during the Transition of Technical State of the Structure2261-236X10.1051/matecconf/202134603036https://doaj.org/article/50d91b37c9104ccea1ab49cd605717382021-01-01T00:00:00Zhttps://www.matec-conferences.org/articles/matecconf/pdf/2021/15/matecconf_icmtmte2021_03036.pdfhttps://doaj.org/toc/2261-236XThe possibility of applying the theory of stochastic processes for evaluating the dynamic pattern of different states is studied for critical-duty structures. Heterogeneous Markovian processes of technical state transition for metallurgical overhead crane structure, Markovian theorem and Kolmogorov-Chapman equation are analyzed. Markovian chain is reviewed at t →∞, i.e. under marginal steady-state (stabilized) condition. Real values of limit probabilities are obtained for the structure of the metallurgical overhead crane under review. The proposed approach redefines and elaborates the existing methods and procedures for evaluating the technical state of structures and reduces the level of ambiguity associated with such kind of problems.Izvekov YuryTulupov OlegDubrovsky VladislavKanel-Belov AlexeyEDP SciencesarticleEngineering (General). Civil engineering (General)TA1-2040ENFRMATEC Web of Conferences, Vol 346, p 03036 (2021) |
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DOAJ |
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Engineering (General). Civil engineering (General) TA1-2040 |
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Engineering (General). Civil engineering (General) TA1-2040 Izvekov Yury Tulupov Oleg Dubrovsky Vladislav Kanel-Belov Alexey Stochastic Processes Occurring during the Transition of Technical State of the Structure |
description |
The possibility of applying the theory of stochastic processes for evaluating the dynamic pattern of different states is studied for critical-duty structures. Heterogeneous Markovian processes of technical state transition for metallurgical overhead crane structure, Markovian theorem and Kolmogorov-Chapman equation are analyzed. Markovian chain is reviewed at t →∞, i.e. under marginal steady-state (stabilized) condition. Real values of limit probabilities are obtained for the structure of the metallurgical overhead crane under review. The proposed approach redefines and elaborates the existing methods and procedures for evaluating the technical state of structures and reduces the level of ambiguity associated with such kind of problems. |
format |
article |
author |
Izvekov Yury Tulupov Oleg Dubrovsky Vladislav Kanel-Belov Alexey |
author_facet |
Izvekov Yury Tulupov Oleg Dubrovsky Vladislav Kanel-Belov Alexey |
author_sort |
Izvekov Yury |
title |
Stochastic Processes Occurring during the Transition of Technical State of the Structure |
title_short |
Stochastic Processes Occurring during the Transition of Technical State of the Structure |
title_full |
Stochastic Processes Occurring during the Transition of Technical State of the Structure |
title_fullStr |
Stochastic Processes Occurring during the Transition of Technical State of the Structure |
title_full_unstemmed |
Stochastic Processes Occurring during the Transition of Technical State of the Structure |
title_sort |
stochastic processes occurring during the transition of technical state of the structure |
publisher |
EDP Sciences |
publishDate |
2021 |
url |
https://doaj.org/article/50d91b37c9104ccea1ab49cd60571738 |
work_keys_str_mv |
AT izvekovyury stochasticprocessesoccurringduringthetransitionoftechnicalstateofthestructure AT tulupovoleg stochasticprocessesoccurringduringthetransitionoftechnicalstateofthestructure AT dubrovskyvladislav stochasticprocessesoccurringduringthetransitionoftechnicalstateofthestructure AT kanelbelovalexey stochasticprocessesoccurringduringthetransitionoftechnicalstateofthestructure |
_version_ |
1718441749456617472 |