PSI - Issue 48

Mohamed El Amine Ben Seghier et al. / Procedia Structural Integrity 48 (2023) 356–362 Ben Seghier et al / Structural Integrity Procedia 00 (2023) 000 – 000

361

6

Fig. 2. Iterative reliability index for different SVR models and reliability approaches.

Table. 2. Converged reliability results of different methods for the studied example. Methods Call function #Gradient vector reliability index

Error

HL-RF

4-priodic results

CFORM SVR(σ=5) SVR(σ=2) SVR(σ=1)

553 300 300 300

29 26 27 28

3.2593 3.4396 3.3113 3.2510

6.88 1.73 5.39 7.11

MCS

--

3.501

--

1.2 × 10 6

Conclusion In this paper, we propose a framework for structural reliability analysis that combines support vector regression (SVR) and the conjugate first-order reliability method (CFORM). To demonstrate the capability of the SVR-CFORM method, an illustrative example of LSF with high nonlinearity was used. The proposed method's accuracy and robustness were compared to the Monte Carlo Simulation (MCS), CFORM, and HL-RF methods. Furthermore, the effects of SVR hyper-parameters on reliability index results were investigated. The results show that the proposed SVR-CFORM method is more efficient than the CFORM and HL-RF methods, and that the selection of SVR hyper - parameters has a significant impact on the accuracy of the results. SVR-CFORM, on the other hand, can effectively reduce the computational burden of calculation when compared to the traditional MCS. References El Amine Ben Seghier, Mohamed, Behrooz Keshtegar, a nd Bouali Elahmoune. 2018. “Reliability Analysis of Low, Mid and High -Grade Strength Corroded Pipes Based on Plastic Flow Theory Using Adaptive Nonlinear Conjugate Map.” Engineering Failure Analysis #pagerange# . Retrieved (http://linkinghub.elsevier.com/retrieve/pii/S1350630718301997). Bagheri, Mansour, Peng, Shun- Peng Zhu, Ben Seghier Ben Mohamed El Amine, and Behrooz Keshtegar. 2020. “Hybrid Intelligent Method for Fuzzy Reliability Analysis of Corroded X100 Steel Pipelines.” Engineering with Computers. Re trieved (https://doi.org/10.1007/s00366-020 00969-1). Bucher, Christian G., and U.Bourgund. 1990. “A Fast and Efficient Response Surface Approach for Structural Reliability Problems.” Structural Safety 7(1):57 – 66. Elhewy, A.Hosni, E. Mesbahi, and Y. Pu. 20 06. “Reliability Analysis of Structures Using Neural Network Method.” 21:44– 53. Guillal, Abdelkader et al. 2020. “Probabilistic Investigation on the Reliability Assessment of Mid -and High-Strength Pipelines under Corrosion and Fracture Conditions.” Enginee ring Failure Analysis 104891. Jafari-Asl, Jafar, Sima Ohadi, Mohamed El Amine Ben Seghier, and Nguyen- Thoi Trung. 2021. “Accurate Structural Reliability Analysis Using an Improved Line-Sampling-Method- Based Slime Mold Algorithm.” ASCE -ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering 7(2):4021015.