STOCHASTIC MODELING OF TIME EVOLUTION OF A MOTORCYCLE PUMP REPAIR
Abstract: The strategy of predictive maintenance seems adequate to anticipate the failure and degradation of equipment status. A study of reliability is needful to quantify the indicators to describe the performance of any system over time. The present work is devoted to the monitoring and analysis of the stoppage generated by the pump-motor system, based on the evaluation of the total time of repair of TTR equipment. In a first stage, we carried out a static analysis with the aim of describing the distribution law of the time sample to be analyzed, that is the various times of TTR repair of t he system. In the first step, we carried out a static analysis with the objective of describing law of the sample of the time times to be analyzed, namely the various system repair times TTR. The static analysis of the values of this latter has confirmed that the distribution of the TTR follows a normal law, whose parameters are (m and σ). The adjustment of the adequacy of the Normal distribution of the sample has been verified according to the KOLMOGOROV-Smirnov test for a risk degree of 5٪ . Subsequently, we proposed and approach based on stochastic processes, for the modeling of the evolution of times repair of the studied system, chiefly by the Wiener degradation process.
Key words: Predictive maintenance, stochastic process, Normal law, Wiener process, modelisation
Pascal. “Modelling malfunctions of a system under maintenance activities”, research master’s report, 2007.
L. Agnes, C. Claudie. “Stochastic processes and modeling”, ISMAG MASTER 2 - MI00451X, 2012.
P. Claire, ENSEEIHT. “Dependability”, 3rd TR - SE option, December. 2012.
L. Banege. Stochastic process. “Markov chains and Poisson Process”, 2004.
A. Bouzaouit, O. Bennis, M. Gahgah.” Modelling of the dynamic evolution of the state change of the bearings”, RECENT Journal, ISSN 1582-0246, Vol.13, N° 3(36), 2012, pp 254-258.
A. Bouzaouit, E. HadjadjAouel, O. BENNIS. “Stochastic modeling for the follow-up the bearing degradation”.U.P.B ,Sci, Bull., ISSN 1454-2358, Series D, Vol 79,Iss 1, 2017, pp 209-218.
H.Louahem m’sabah..”Modélisation du phénomène de degradation des roulements par le processus Wiener et Gamma”.These de doctorat en electromecanique,2016
Xing He, Xiaojiao Xu , Wei Tian, Yuebing Li , WeiyaJin and Mingjue Zhou. “Markov stochastic process modeling for evolution of wear depth in steam generator tubes”. Advances in Mechanical Engineering 2019, Vol 11(5),2019, pp1–9
- There are currently no refbacks.