Yury A. Izvekov, Elena V. Kobelkova, Nadezhda A. Loseva,
Evgenia Yu. Hamutskikh, Irina V. Glagoleva
Department of Higher Mathematics
G.I. Nosov Magnitogorsk State Technical University
Lenin Ave. 38, Magnitogorsk, 455000, RUSSIAN FEDERATION

Abstract. The article is dedicated to the mathematical definition of durability of a mechanical system taking into account the appearance of extreme loads acting on it for definite time. Materials of research represent a continuation of several works of authors on the development of methods and techniques for determining reliability and durability to control safety by a mechanical system - load-bearing structure of the bridge of metallurgical crane based on interdisciplinary approach.

The emergence of ``surges'' when loading mechanical systems for the period of time is taken by independent rare events that are subject to the law of K. Pearson -distribution.

The resulting relationship takes into account the probability of a single load excess of the permissible level (the emergence of ``surges''), arising from system operating conditions and mode of loading, which can cause the emergence of such ``surges''. Mathematical modeling and determination of durability of a mechanical system in case of extreme loading conditions allows making the right engineering decisions to control technogenic safety of certain productions or their major components.

Received: January 21, 2016

AMS Subject Classification: 93A30, 70Q05

Key Words and Phrases: mathematical modeling, applied theory of accidents, metallurgical traveling crane durability, mechanical system, interdisciplinary approach

Download paper from here.

Google Scholar; DOI (International DOI Foundation); WorldCAT.

This work is licensed under the Creative Commons Attribution International License (CC BY).