Mechanics & Industry
Volume 18, Number 2, 2017
|Number of page(s)||11|
|Published online||17 February 2017|
Statistics of extreme values of stochastic processes generated by rotating machines and associated probabilistic reliability model
Nexter Systems, 11 Allées des Marronniers, 78022 Versailles Cedex, France
a Corresponding author: email@example.com
Received: 25 November 2014
Accepted: 3 April 2016
The random stress processes recorded on the mechanical structures of rotating machines have non-Gaussian structure. These processes are logically composed of a deterministic periodic process, centred on the harmonics of the rotor rotation frequency, on which is routinely superposed a Gaussian zero-mean random process. This article first presents the mathematical principles of extreme value models, adapted to their specific nature. The proposed probabilistic models are then compared with each other in order to examine their degree of similarity and conservatism. On the basis of Gumbel’s theory, adopted as an asymptotic approach to extreme values, a statistical model of extreme values of sine plus noise composite random processes is proposed and discussed.
Key words: Stochastic process / Gaussian and non-Gaussian / rotating machine / statistics of extreme values of a sine plus noise process
© AFM, EDP Sciences 2017
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