Reliability of Single-Layer Steel Space Domes under the Effects of the Changes in the Height-to-Span Ratio

Document Type : Research Article

Authors

1 Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran.

2 Department of Civil Engineering, Zabol Branch, Islamic Azad University, Zabol, Iran.

3 School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran.

Abstract

In space domes, geometrical changes are the main factors that determine the forces in the structural members. This paper has addressed the effects of the height-to-span ratio variations on the reliability of space domes. Applied loads, nodes coordinates, member’s cross-section, modulus of elasticity, and yield stress are the random variables, and FORM (first-order reliability method), SORM (second-order reliability method), MCS (Monte Carlo sampling) and IS (importance sampling) were the methods used to evaluate the reliability of such structures. Results showed that FORM yielded better solutions; reliability increased with an increase in the height-to-span ratio, and a change in the performance function changed the reliability index and sensitivity coefficient. Hence, for domes with height-to-span ratios less than 0.3, the displacement performance function is the effective function and for ratios greater than 0.3, the stress performance function should be considered as the critical function.

Keywords

Main Subjects

References

[1] Technology Performance Adjutancy, Design of Space Frame Structures Code, Publication 400, President Planning Adjutancy, 2004.
[2] Nooshin, Formex configuration processing in structural engineering, Elsevier Applied Science Publishers Ltd, Ripple Rd, Barking, Essex, U. K, 1984. 273, (1984).
[3] Parke, P. Disney, Space structures 5, Thomas Telford, 2002.
[4] Arjamandi, modern building skeletons, Tehran University Press 1996.
[5] Hui-Jun, P. Zeng-Li, Y. Chun-Liang, T. Yue-Ming, Application of advanced reliability algorithms in truss structures, International Journal of Space Structures, 29(2) (2014) 61-70.
[6] R. Sheidaii, Evaluation of probabilistic effect on the reliability of the network layer imperfection Space, Civil and Environmental Magazine, 40 (2010).
[7] Hui-Jun, W. Zheng-Zhong, L. Zhan-Chao, Reliability and sensitivity analysis of dendriform structure, International Journal of Space Structures, 28(2) (2013) 75-86.
[8] Kubicka, U. Radoń, W. Szaniec, U. Pawlak, Comparative analysis of the reliability of steel structure with pinned and rigid nodes subjected to fire, in: IOP Conference Series: Materials Science and Engineering, IOP Publishing, 2017, pp. 022051.
[9] T. Roudsari, M. Gordini, Random imperfection effect on reliability of space structures with different supports, Structural Engineering and Mechanics, 55(3) (2015) 461-472.
[10]Hui-Jun, L. Chun-Guang, J. Ling-Ling, Reliability and sensitivity analysis of double-layer spherical latticed shell, International Journal of Space Structures, 26(1) (2011) 19-29.
[11] -J. Li, C.-G. Liu, F. Jiao, G.-F. Lin, Reliability and sensitivity evaluation of nonlinear space steel structures, Journal of the International Association for Shell and Spatial Structures, 52(2) (2011) 97-107.
[12] K. Soh, J. Yang, Fuzzy controlled genetic algorithm search for shape optimization, Journal of computing in civil engineering, 10(2) (1996) 143-150.
[13] Salajegheh, M. Khatibinia, M. Mashayekhi, Optimization of the shape of a single-layer space dome using Binary Algorithm, in: Fourth National Congress of Civil Engineering, University of Tehran, 2009.
[14] Saka, Optimum topological design of geometrically nonlinear single layer latticed domes using coupled genetic algorithm, Computers & structures, 85(21-22) (2007) 1635-1646.
[15] Hasançebi, F. Erdal, M.P. Saka, Optimum design of geodesic steel domes under code provisions using metaheuristic techniques, International Journal of Engineering and Applied Sciences, 2(2) (2010) 88-103.
[16] -b. Qi, G.-y. Huang, X.-d. Zhi, F. Fan, Sensitivity analysis and probability modeling of the structural response of a single-layer reticulated dome subjected to an external blast loading, Defense Technology, (2022).
[17] Zhou, Q. Song, A. Li, S. Shen, Q. Zhou, B. Wang, Assessment on the Progressive Collapse Resistance of a Long-Span Curved Spatial Grid Structure With Main Trusses, KSCE Journal of Civil Engineering, 26(3) (2022) 1239-1253.
[18] Jahangir, M. Bagheri, S.M.J. Delavari, Cyclic behavior assessment of steel bar hysteretic dampers using multiple nonlinear regression approach, Iranian Journal of Science and Technology, Transactions of Civil Engineering, 45(2) (2021) 1227-1251.
[19] Farhangi, H. Jahangir, D.R. Eidgahee, A. Karimipour, S.A.N. Javan, H. Hasani, N. Fasihihour, M. Karakouzian, Behaviour investigation of SMA-equipped bar hysteretic dampers using machine learning techniques, Applied Sciences, 11(21) (2021) 10057.
[20] Pakseresht, S. Gholizadeh, Metaheuristic-based sizing and topology optimization and reliability assessment of single-layer lattice domes, Iran University of Science & Technology, 11(1) (2021) 1-14.
[21] -m. Tian, J.-p. Wei, Q.-x. Huang, J.W. Ju, Collapse-resistant performance of long-span single-layer spatial grid structures subjected to equivalent sudden joint loads, Journal of Structural Engineering, 147(1) (2021) 04020309.
[22] Zhang, X. Gao, X. Xie, A. Behnejad, G. Parke, A method to directly estimate the dynamic failure peak ground acceleration of a single-layer reticulated dome, Thin-Walled Structures, 175 (2022) 109188.
[23] S. Nowak, Collins, K.R., Reliability of Structures, McGraw-Hill, New York, 2000.
[24] Iranian Code of Practice for Seismic Resistant Design of Building, BHRC Publication, Tehran, 2006. (In Persian).
[25] Construction, Manual of steel construction: allowable stress design, American Institute of Steel Construction: Chicago, IL, USA, (1989).
[26] D. Sørensen, Notes in structural reliability theory and risk analysis, Aalborg University, 4 (2004).
[27] R. Rajashekhar, B.R. Ellingwood, A new look at the response surface approach for reliability analysis, Structural safety, 12(3) (1993) 205-220.
[28] Rahman, D. Wei, A univariate approximation at most probable point for higher-order reliability analysis, International journal of solids and structures, 43(9) (2006) 2820-2839.
[29] -K. Choi, R.A. Canfield, R.V. Grandhi, Reliability-Based Structural Optimization, Springer, 2007.
[30] Chen, Reliability-based structural design: a case of aircraft floor grid layout optimization, Georgia Institute of Technology, 2011.
[31] Gordini, M. Habibi, M. Tavana, M. TahamouliRoudsari, M. Amiri, Reliability analysis of space structures using Monte-Carlo simulation method, in: Structures, Elsevier, 2018, pp. 209-219.
[32] A. Shayanfar, M.A. Barkhordari, M.A. Roudak, An efficient reliability algorithm for locating design point using the combination of importance sampling concepts and response surface method, Communications in Nonlinear Science and Numerical Simulation, 47 (2017) 223-237.
[33] O. Madsen, S. Krenk, N.C. Lind, Methods of structural safety, Courier Corporation, 2006.
[34] Kaymaz, Approximation methods for reliability‐based design optimization problems, GAMM‐Mitteilungen, 30(2) (2007) 255-268.
[35] Rackwitz, B. Flessler, Structural reliability under combined random load sequences, Computers & structures, 9(5) (1978) 489-494.
[36] Liu, Der Kiureghian: A. Optimization algorithms for structural reliability, Structural Safety, 9(3) (1991) 161-177.
[37] Breitung, Asymptotic approximations for multinormal integrals, Journal of Engineering Mechanics, 110(3) (1984) 357-366.
AUT Journal of Civil Engineering
Volume 6, Issue 1
March 2022
Pages 3-14

Files

Share

How to cite

Statistics