Reliability and Sensitivity Analysis of Single-Layer Space Domes

Document Type : Research Article

Authors

1 School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran

2 Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

In recent years, a number of space structures have been destroyed or collapsed completely due to snow load, external wind load, sudden earthquake impacts and improper traditional design. Not considering uncertainties in materials and external loads can be the main reason in this regard. Therefore, effort has been made in the present study to examine the effects of reliability and sensitivity among random variables and performance functions on the failure probability of single-layer space domes. In order to determine the appropriate and efficient method for reliability analysis in space domes, the reliability analysis was carried out according to approximation (FORM, SORM) and simulation (Importance Sampling, Monte Carlo) methods. The modulus of elasticity, yield stress, external loads, node coordinates, and cross-section of members were considered as random variables to be used in two limit state functions (displacement and ultimate stress). Results of the FORM, SORM, MCS, and IS methods show that in space structures with many random variables, FORM yields good solutions, and sensitivity analyses of the random variables show that the results depend on the type of the limit state functions; a change in the limit state functions will also change the sensitivity. For instance, the values of the sensitivity of the cross-section random variable for the stress and displacement limit state functions are 61% and 8.6%, respectively.

Keywords

Main Subjects

References

[1] O. Caglayan, E. Yuksel, Experimental and finite element investigations on the collapse of a Mero space truss roof structure–A case study, Engineering Failure Analysis, 15(5) (2008) 458-470.
[2] A. Biegus, K. Rykaluk, Collapse of Katowice fair building, Engineering Failure Analysis, 16(5) (2009) 1643-1654.
[3] Brencich, Collapse of an industrial steel shed: a case study for basic errors in computational structural engineering and control procedures, Engineering Failure Analysis, 17(1) (2010) 213-225.
[4] G. Piskoty, L. Wullschleger, R. Loser, A. Herwig, M. Tuchschmid, G. Terrasi, Failure analysis of a collapsed flat gymnasium roof, Engineering Failure Analysis, 35 (2013) 104-113.
[5] L. 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] L. 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.
[7] K. Imai, D.M. Frangopol, Reliability-based assessment of suspension bridges: Application to the Innoshima Bridge, Journal of Bridge Engineering, 6(6) (2001) 398-411.
[8] J. ZHANG, M. OHSAKI, Reliability-based Optimization of Spatial Structures using Aproximation Model, in: Symposium of the International Association for Shell and Spatial Structures (50th. 2009. Valencia). Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures: Proceedings, Editorial Universitat Politècnica de València, 2009.
[9] R. Stocki, K. Kolanek, S. Jendo, M. Kleiber, Study on discrete optimization techniques in reliability-based optimization of truss structures, Computers & Structures, 79(22-25) (2001) 2235-2247.
[10]H.-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.
[11]Birolini, Reliability engineering: theory and practice, Springer Science & Business Media, 2013.
[12]E. Kameshki, M. Saka, Optimum geometry design of nonlinear braced domes using genetic algorithm, Computers & structures, 85(1-2) (2007) 71-79.
[13]Construction, Manual of steel construction: allowable stress design, American Institute of Steel Construction: Chicago, IL, USA, (1989).
[14]H.O. Madsen, S. Krenk, N.C. Lind, Methods of structural safety, Courier Corporation, 2006.
[15]F. Yongfeng, C. Jianjun, K. Tee, C. Hongjun, Analysis of structural reliability from time response using fully probabilistic, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 36(2) (2014) 277-281.
[16]M. 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.
[17]M.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.
[18]A.M. Hasofer, N.C. Lind, Exact and invariant second-moment code format, Journal of the Engineering Mechanics division, 100(1) (1974) 111-121.
[19]Kaymaz, Approximation methods for reliability‐based design optimization problems, GAMM‐Mitteilungen, 30(2) (2007) 255-268.
[20]Der Kiureghian, H.-Z. Lin, S.-J. Hwang, Second-order reliability approximations, Journal of Engineering mechanics, 113(8) (1987) 1208- 1225.
[21]J.D. Sørensen, Notes in structural reliability theory and risk analysis, Aalborg University, 4 (2004).
[22]W. Zhao, J. Liu, J. Ye, A new method for parameter sensitivity estimation in structural reliability analysis, Applied Mathematics and Computation, 217(12) (2011) 5298-5306.
[23] Z. Song, Reliability Evaluation of Jacket-type Offshore Platforms Subjected to Wind, Wave, and Current Loads, in: IOP Conference Series: Earth and Environmental Science, IOP Publishing, 2017, pp. 012009.
[24]U. Radoń, Numerical aspects of application of FORM in node snapping truss structures, Archives of Civil and Mechanical Engineering, 15(1) (2015) 262-271.
AUT Journal of Civil Engineering
Volume 4, Issue 3
September 2020
Pages 367-376

Files

Share

How to cite

Statistics