IJPAM: Volume 107, No. 3 (2016)

MATHEMATICAL DEFINITION OF DURABILITY OF
A MECHANICAL SYSTEM IN CASE OF
EXTREME LOADING CONDITIONS

Yury A. Izvekov$^1$, Elena V. Kobelkova$^2$, Nadezhda A. Loseva$^3$,
Evgenia Yu. Hamutskikh$^4$, Irina V. Glagoleva$^5$
$^{1,2,3,4,5}$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 $\chi^{2}$-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.




DOI: 10.12732/ijpam.v107i3.13 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 661 - 666


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

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