Abstract
The circular steel arches are large-span structures, which are shaped into a circular or semicircular form. The circular steel arch is widely used in bridges, tunnels, architectural design, industrial and warehouse buildings, and aqueducts. Circular steel arches are known for their strength and durability, making them a popular choice in architecture and civil engineering. The safety of circular steel arches bearing radial load with elastic rotational restraints depends on material properties, geometric dimensions, and boundary conditions. The objective of this research is to perform a reliability assessment of the in-plane elastic buckling critical load of circular steel arches with elastic rotational restraints considering random input parameters. For that, the Artificial Neural Network (ANN) algorithm is used to construct a model for estimating the in-plane elastic buckling critical load of the circular steel arches, while Monte Carlo Simulation (MCS) is used to simulate the in-plane elastic buckling critical load and assess structural reliability. The calculated results of the proposed model are compared with FORM, SORM, and MCS. Eventually, the influence of random input parameters on the reliability of circular steel arches is evaluated using the first order and total Solol’s indices.
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References
Bartlett, F. M., Dexter, R. J., Graeser, M. D., Jelinek, J. J., Schmidt, B. J., & Galambos, T. V. (2003). Updating standard shape material properties database for design and reliability. Engineering Journal-American Institute of Steel Construction, 40(1), 2–14.
Cardoso, J. B., de Almeida, J. R., Dias, J. M., & Coelho, P. G. (2008). Structural reliability analysis using Monte Carlo simulation and neural networks. Advances in Engineering Software, 39(6), 505–513.
Ellingwood, B., MacGregor, J. G., Galambos, T. V., & Cornell, C. A. (1982). Probability based load criteria: Load factors and load combinations. Journal of the Structural Division, 108(5), 978–997.
Gjelsvik, A., & Bodner, S. (1962). The energy criterion and snap buckling of arches. Journal of the Engineering Mechanics Division, 88(5), 87–134.
Ha, T. (2019). Reliability assessment of frame steel considering semi-rigid connections. Journal of Materials and Engineering Structures, 6(1), 119–126.
Hosseini, P., Kaveh, A., & Naghian, A. (2023). Development and optimization of self-compacting concrete mixes: Insights from artificial neural networks and computational approaches. International Journal of Optimal Civil Engineering, 13(4), 457–476.
Kaveh, A., Eskandari, A., & Movasat, M. (2023). Buckling resistance prediction of high-strength steel columns using metaheuristic-trained artificial neural networks. Structures, 56, 104856.
Kaveh, A., & Khavaninzadeh, N. (2023). Efficient training of two ANNs using four meta-heuristic algorithms for predicting the FRP strength. Structures, 52, 256.
Kaveh, A., & Zaerreza, A. (2022). A new framework for reliability-based design optimization using metaheuristic algorithms. Structures, 38, 1210.
Leu, T.-T. (2005). Stability of structures. Hanoi, Vietnam: Science and Technics Publishing House.
Ngoc-Long, T., & Ha, T. (2020). The effect of metal corrosion on the structural reliability of the Pre-Engineered steel frame. Journal of Materials and Engineering Structures, 7(2), 155–165.
Nguyen, D.-D., Tran, N.-L., & Nguyen, T.-H. (2023a). ANN-based model for predicting the axial load capacity of the cold-formed steel semi-oval hollow section column. Asian Journal of Civil Engineering, 24(5), 1165–1179.
Nguyen, T.-H., Tran, N.-L., & Nguyen, D.-D. (2021). Prediction of critical buckling load of web tapered I-section steel columns using artificial neural networks. International Journal of Steel Structures, 21(4), 1159–1181.
Nguyen, T.-H., Tran, N.-L., Phan, V.-T., & Nguyen, D.-D. (2023b). Prediction of shear capacity of RC beams strengthened with FRCM composite using hybrid ANN-PSO model. Case Studies in Construction Materials, 18, e02183.
Nguyen, Τ. (2020). Global sensitivity analysis of in-plane elastic buckling of steel arches. Engineering, Technology & Applied Science Research, 10(6), 6476–6480. https://doi.org/10.48084/etasr.3833
Papadrakakis, M., & Lagaros, N. D. (2002). Reliability-based structural optimization using neural networks and Monte Carlo simulation. Computer Methods in Applied Mechanics and Engineering, 191(32), 3491–3507.
Papadrakakis, M., Papadopoulos, V., & Lagaros, N. D. (1996). Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation. Computer Methods in Applied Mechanics and Engineering, 136(1–2), 145–163.
Pi, Y.-L., & Bradford, M. (2009). Non-linear in-plane postbuckling of arches with rotational end restraints under uniform radial loading. International Journal of Non-Linear Mechanics, 44(9), 975–989.
Pi, Y.-L., & Bradford, M. A. (2012). Non-linear buckling and postbuckling analysis of arches with unequal rotational end restraints under a central concentrated load. International Journal of Solids and Structures, 49(26), 3762–3773.
Pi, Y.-L., Bradford, M. A., & Tin-Loi, F. (2008). Non-linear in-plane buckling of rotationally restrained shallow arches under a central concentrated load. International Journal of Non-Linear Mechanics, 43(1), 1–17.
Pi, Y.-L., Bradford, M., & Uy, B. (2002). In-plane stability of arches. International Journal of Solids and Structures, 39(1), 105–125.
Timoshenko, S. P., & Gere, J. M. (2009). Theory of elastic stability. New York: Courier Corporation.
Tran, N. L., & Nguyen, T. H. (2020). Reliability Assessment of Steel Plane Frame’s Buckling Strength Considering Semi-rigid Connections. Engineering, Technology & Applied Science Research, 10(1), 5099–5103.
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S-MN: Methodology, Writing-Review and Editing, Formal analysis, N-LT: Writing-Review and Editing, Formal analysis, X-TP: Writing-Review and Editing. X-HN: Writing-Review an Editing. D-DN: Formal analysis, Writing–Original Draft, Writing–Review and Editing, Supervision. T-HN: Conceptualization, Software, Writing-Original Draft, Writing-Review and Editing.
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Nguyen, SM., Nguyen, DD., Tran, NL. et al. Reliability assessment of circular steel arches with elastic restraints using hybrid ANN-MCS technique. Asian J Civ Eng 25, 3049–3057 (2024). https://doi.org/10.1007/s42107-023-00962-1
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DOI: https://doi.org/10.1007/s42107-023-00962-1