Global Sensitivity Analysis Of In-Plane Elastic Buckling Of Steel Arches
Abstract
Steel arches are widely used in civil engineering and industrial structures. Their response depends on material properties, geometric dimensions, and boundary conditions. The objective of the current study is to perform global sensitivity analysis and to assess the influence of random input parameters on the in-plane elastic buckling of steel arches. The in-plane elastic buckling load of steel arches under uniform compression proposed in previous studies is adopted. The influence of the random input variables of the structure is evaluated using Sobol’s global sensitivity analysis. Monte Carlo simulation is also employed to rank the influence of input random variables.
Keywords:
in-plane elastic buckling, steel arches, sensitivity, global sensitivity, Sobol’ indices, Monte Carlo simulationDownloads
References
D. G. Cacuci, "Sensitivity theory for nonlinear systems. I. Nonlinear functional analysis approach," Journal of Mathematical Physics, vol. 22, no. 12, pp. 2794-2802, Dec. 1981. DOI: https://doi.org/10.1063/1.525186
H. Abshari, M. R. E. Azadi, and M. S. Azar, "Reliability Analysis of Steel Structures under Buckling Load in Second-order Theory," Advances in Research, pp. 950-966, Aug. 2014. DOI: https://doi.org/10.9734/AIR/2014/11358
N. T. Ha and D. X. Hung, "Sensitivity analysis of the design portal frames of steel industrial buildings," MATEC Web of Conferences, vol. 193, p. 04025, 2018. DOI: https://doi.org/10.1051/matecconf/201819304025
R. E. Melchers, "The effect of corrosion on the structural reliability of steel offshore structures," Corrosion Science, vol. 47, no. 10, pp. 2391-2410, Oct. 2005. DOI: https://doi.org/10.1016/j.corsci.2005.04.004
J. Morio, "Global and local sensitivity analysis methods for a physical system," European Journal of Physics, vol. 32, no. 6, pp. 1577-1583, Oct. 2011. DOI: https://doi.org/10.1088/0143-0807/32/6/011
X. H. Dang, "Identification de la variabilité spatiale des champs de contraintes dans les agrégats polycristallins et application à l'approche locale de la rupture," Ph.D. Thesis, Université Blaise Pascal, France.
A. B. Owen, "Variance Components and Generalized Sobol' Indices," SIAM/ASA Journal on Uncertainty Quantification, vol. 1, no. 1, pp. 19-41, Jan. 2013. DOI: https://doi.org/10.1137/120876782
J. H. Dshalalow, Advances in Queueing Theory, Methods, and Open Problems, 1st ed. Boca Raton, FL, USA: CRC Press, 1995.
N.-L. Tran, T.-H. Nguyen, and V.-P. Phan, "Reliability assessment of Buckling Strength for Battened Built-up Columns steel considering shear deformations," IOP Conference Series: Materials Science and Engineering, vol. 869, p. 052041, Jul. 2020. DOI: https://doi.org/10.1088/1757-899X/869/5/052041
H. T. Nguyen, "Reliability assessment of frame steel considering semi-rigid connections," Journal of Materials and Engineering Structures, vol. 6, no. 1, pp. 119-126, Mar. 2019.
N. L. Tran and T. H. Nguyen, "Reliability Assessment of Steel Plane Frame's Buckling Strength Considering Semi-rigid Connections," Engineering, Technology & Applied Science Research, vol. 10, no. 1, pp. 5099-5103, Feb. 2020. DOI: https://doi.org/10.48084/etasr.3231
M. Rohani, G. Shafabakhsh, A. Haddad, and E. Asnaashari, "Sensitivity Analysis of Workspace Conflicts According to Changing Geometric Conditions," Engineering, Technology & Applied Science Research, vol. 7, no. 1, pp. 1429-1435, Feb. 2017. DOI: https://doi.org/10.48084/etasr.1012
Y.-L. Pi and N. S. Trahair, "Out-of-Plane Inelastic Buckling and Strength of Steel Arches," Journal of Structural Engineering, vol. 124, no. 2, pp. 174-183, Feb. 1998. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1998)124:2(174)
Y.-L. Pi, M. A. Bradford, and B. Uy, "In-plane stability of arches," International Journal of Solids and Structures, vol. 39, no. 1, pp. 105-125. DOI: https://doi.org/10.1016/S0020-7683(01)00209-8
T. V. Galambos, Ed., Guide to Stability Design Criteria for Metal Structures, 5th ed. New York, NY, USA: Wiley, 1998.
S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, 2nd ed. edition. Mineola, NY, USA: Dover Publications, 2009.
A. Mirmiran and A. M. Wolde‐Tinsae, "Buckling and Postbuckling of Prestressed Sandwich Arches," Journal of Structural Engineering, vol. 119, no. 1, pp. 262-278, Jan. 1993. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1993)119:1(262)
C. Zhang, J. Chu, and G. Fu, "Sobol′'s sensitivity analysis for a distributed hydrological model of Yichun River Basin, China," Journal of Hydrology, vol. 480, pp. 58-68, Feb. 2013. DOI: https://doi.org/10.1016/j.jhydrol.2012.12.005
I. M. Sobol′, "Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates," Mathematics and Computers in Simulation, vol. 55, no. 1, pp. 271-280, Feb. 2001. DOI: https://doi.org/10.1016/S0378-4754(00)00270-6
A. Saltelli, "Making best use of model evaluations to compute sensitivity indices," Computer Physics Communications, vol. 145, no. 2, pp. 280-297, May 2002. DOI: https://doi.org/10.1016/S0010-4655(02)00280-1
T. Ishigami and T. Homma, "An importance quantification technique in uncertainty analysis for computer models," in [1990] Proceedings. First International Symposium on Uncertainty Modeling and Analysis, College Park, MD, USA, Dec. 1990, pp. 398-403.
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