PSI - Issue 47

Mohammed Lamine Moussaoui / Procedia Structural Integrity 47 (2023) 932–937 Mohammed Lamine Moussaoui / Structural Integrity Procedia 00 (2023) 000–000

936

5

for which the solution is:

� � � ��� � 122..198747 �

� 15 �

� ∗ �� 12.184 � 2.977 � We get then the parameters values:

� 2.977 � 59.902 Table 3 . Comparison between the presented numerical method and the graphical one Method This optimized process 2.977 59.902 Graphical in Bellaouar and Beleulmi � 2013 � 3 60

The computed parameters with this optimized process are closed to those obtained from the data values of the plot on the as it is shown in Bellaouar and Beleulmi � 2013 � . Table 3 shows the comparison of these two methods. It is obvious that our numerical method requires some seconds to compute the searched parameters in comparison to the graphical method in Bellaouar and Beleulmi � 2013 � which requires several hours when the data values are complicated. 4. Conclusion An efficient numerical method is developed to determine the parameters. The presented method enabled to compute efficiently these parameters. This allowed saving more time with respect to the graphical representation which needs a costly meticulous representation. The errors between the linear regression model in this numerical process and the existing data values are minimized. Consequently, optimal regression coefficients correspond to optimal errors. References Bellaouar, A., Beleulmi, S., 2013 . Fiabilité Maintenabilité Disponibilité, University of Constantine 1, Faculty of Sciences and Technology, Department of Transports Engineering. Monchy, F., Vernier J.P., 2010 . Maintenance - Méthodes et Organisation, Dunod. Moussaoui, M.L., 2022 . Méthodes Numériques Appliquées, Editions Universitaires Européennes. Moussaoui, M.L., 2021 . Reliability Based on Recorded Data of a Specialized Designed Product, Technical Report, University of Sciences and Technology Houari Boumediene, Faculty of Mechanical and Process Engineering, Department of Mechanical Construction and Production. Naess, A., Moan, T., 2013 . Stochastic Dynamics of Marine Structures, Cambridge University Press. Nomenclature

Shape parameter Position parameter Scale parameter Objective function Decision variables

Statistical data values