Volume 19, Issue 2, February 2017, Pages 276–282
Zakaria El Haddad1, Othmane Bendaou2, and Larbi EL BAKKALI3
1 Physics department, Abdelmalek Essaadi University, Faculty of Sciences, Modeling and Simulation of Mechanical Systems Team, Tetouan, Morocco
2 Physics department, Abdelmalek Essaadi University, Faculty of Sciences, Modeling and Simulation of Mechanical Systems Team, Tetouan, Morocco
3 Physics department, Abdelmalek Essaadi University, Faculty of Sciences, Modeling and Simulation of Mechanical Systems Team, Tetouan, Morocco
Original language: English
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We know that with the reliability structure, modeling is based on a deterministic physical system: the latter extract degradation mechanisms. Thus, mechanisms taken into account are crack propagations and are defects from thermal or vibratory fatigue, corrosion or erosion etc... The structure is submitted to some loadings in its environment; this, defines a finite number of modes of degradation. We can envision envisage two possible outcomes: failure or success. Therefore, we could consider the failure probability deterministic or probabilistic. According to the probabilistic approach, the risk will be evaluated without probability of failure. It is understood that this evaluation represents the entire problem of this work. In our study, we are going to be examining the development of two methods of structural reliability, which are the first order and second order: That is why we are going to use FORM and SORM method alongside with the Monte Carlo simulation, which are so effective that they are used to solve problems from the domain of the structure reliability. They allow approximating the limit state function, reliability index and the probability of failure.
Author Keywords: reliability, FORM and SORM method, probability of failure, reliability index, Monte-Carlo simulation (MCS).
Zakaria El Haddad1, Othmane Bendaou2, and Larbi EL BAKKALI3
1 Physics department, Abdelmalek Essaadi University, Faculty of Sciences, Modeling and Simulation of Mechanical Systems Team, Tetouan, Morocco
2 Physics department, Abdelmalek Essaadi University, Faculty of Sciences, Modeling and Simulation of Mechanical Systems Team, Tetouan, Morocco
3 Physics department, Abdelmalek Essaadi University, Faculty of Sciences, Modeling and Simulation of Mechanical Systems Team, Tetouan, Morocco
Original language: English
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We know that with the reliability structure, modeling is based on a deterministic physical system: the latter extract degradation mechanisms. Thus, mechanisms taken into account are crack propagations and are defects from thermal or vibratory fatigue, corrosion or erosion etc... The structure is submitted to some loadings in its environment; this, defines a finite number of modes of degradation. We can envision envisage two possible outcomes: failure or success. Therefore, we could consider the failure probability deterministic or probabilistic. According to the probabilistic approach, the risk will be evaluated without probability of failure. It is understood that this evaluation represents the entire problem of this work. In our study, we are going to be examining the development of two methods of structural reliability, which are the first order and second order: That is why we are going to use FORM and SORM method alongside with the Monte Carlo simulation, which are so effective that they are used to solve problems from the domain of the structure reliability. They allow approximating the limit state function, reliability index and the probability of failure.
Author Keywords: reliability, FORM and SORM method, probability of failure, reliability index, Monte-Carlo simulation (MCS).
How to Cite this Article
Zakaria El Haddad, Othmane Bendaou, and Larbi EL BAKKALI, “Numerical Approximation of Structural Reliability Analysis Methods,” International Journal of Innovation and Applied Studies, vol. 19, no. 2, pp. 276–282, February 2017.
