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Robust optimization of reinforced concrete folded plate and shell roof structure incorporating parameter uncertainty
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 Title & Authors
Robust optimization of reinforced concrete folded plate and shell roof structure incorporating parameter uncertainty
Bhattacharjya, Soumya; Chakrabortia, Subhasis; Dasb, Subhashis;
There is a growing trend of considering uncertainty in optimization process since last few decades. In this regard, Robust Design Optimization (RDO) scheme has gained increasing momentum because of its virtue of improving performance of structure by minimizing the variation of performance and ensuring necessary safety and feasibility of constraint under uncertainty. In the present study, RDO of reinforced concrete folded plate and shell structure has been carried out incorporating uncertainty in the relevant parameters by Monte Carlo Simulation. Folded plate and shell structures are among the new generation popular structures often used in aesthetically appealing constructions. However, RDO study of such important structures is observed to be scarce. The optimization problem is formulated as cost minimization problem subjected to the force and displacements constraints considering dead, live and wind load. Then, the RDO is framed by simultaneously optimizing the expected value and the variation of the performance function using weighted sum approach. The robustness in constraint is ensured by adding suitable penalty term and through a target reliability index. The RDO problem is solved by Sequential Quadratic Programming. Subsequently, the results of the RDO are compared with conventional deterministic design approach. The parametric study implies that robust designs can be achieved by sacrificing only small increment in initial cost, but at the same time, considerable quality and guarantee of the structural behaviour can be ensured by the RDO solutions.
robust design optimization;Monte Carlo simulation;folded plate structure;reinforced concrete shell;target reliability;parameter uncertainty;
 Cited by
Structural robust optimization design based on convex model, Results in Physics, 2017, 7, 3068  crossref(new windwow)
Abbasnia, R., Shayanfar, M. and Khodam, A. (2014), "Reliability-based design optimization of structural systems using a hybrid genetic algorithm", Struct. Eng. Mech., 52(6), 1099-1120. crossref(new window)

Bar-Yoseph, P. and Hersckovitz, I. (1989), "Analysis of folded plate structures", Thin Wall. Struct., 7(2), 139-158. crossref(new window)

Bergamini, A. and Biondini, F. (2004), "Finite strip modelling for optimal design of pre-stressed folded plate structures", J. Eng. Struct., 26(8), 1043-1054. crossref(new window)

Bertagnoli, G., Giordano, L. and Mancini, S. (2013), "Skew reinforcement optimization in concrete shells subject to uncertain loading conditions", Proceedings of the Third International Conference on Soft Computing Technology in Civil, Structural and Environmental Engineering, Ed. Y. Tsompanakis, Civil-Comp Press, Stirlingshire, UK.

Beyer, H. and Sendhoff, B. (2007), "Robust optimization- a comprehensive survey", Comput. Meth. Appl. Mech. Eng., 196(33-34), 3190-3218. crossref(new window)

Bhattacharjya, S. (2010), "Robust optimization of structure under uncertainty", PhD Dissertation, Bengal Engineering and Science University, Shibpur, India.

Bhattacharjya, S. and Chakraborty, S. (2011), "Robust optimization of structures subjected to stochastic earthquake with limited information on system parameter uncertainty", Eng. Optim., 43(12), 1311-1330. crossref(new window)

Chakraborty, S., Bhattacharjya, S. and Halder, A. (2012), "Sensitivity importance-based robust optimization of structures with incomplete probabilistic information", Int. J. Numer. Meth. Eng., 90(10), 1207-1320. crossref(new window)

Chen, W., Sahai, A., Messac, A. and Sundararaj, G. J. (2000), "Exploration of the effectiveness of physical programming in robust design", ASME J. Mech. Des., 122 (2), 155-162. crossref(new window)

Deb, K., Pratap, A., Agarwal, S. and Meyariva, T. (2002), "A fast and elitist multi-objective genetic algorithm: NSGA-II", IEEE Tran. Evol. Comput., 6(2), 182-197. crossref(new window)

Debbarma, R. and Chakraborty, S. (2015), "Robust design of liquid column vibration absorber in seismic vibration mitigation considering random system parameter", Struct. Eng. Mech., 53(6), 1127-1141 crossref(new window)

Doltsinis, I., Kang, Z. and Cheng, G. (2005), "Robust design of non-linear structures using optimization methods", Comput. Meth. Appl. Mech. Eng., 194(12-16), 1779-1795. crossref(new window)

Du, X. and Chen, W. (2000), "Towards a better understanding of modeling feasibility robustness in engineering design", ASME J. Mech. Des., 122(4), 385-394. crossref(new window)

Elishakoff, I. and Ren, Y. (2003), Finite Element Methods for Structures with Large Stochastic Variations, Oxford University Press, New York.

Ellingwood, B.R., Galambos, T.V., MacGregor, J.G. and Cornell, C.A. (1980), "Development of probability based load criterion for American National Standard A 58", NBS Special Publication 577, U.S. Department of Commerce, Washington, DC.

Ghosh, R., Chakraborty, S. and Bhattacharyya, B. (2001), "Stochastic sensitivity analysis of structures using first-order perturbation", 36, 291-296. crossref(new window)

Gunawan, S. and Azarm, S. (2005), "Multi-objective robust optimization using a sensitivity region concept", Struct. Multidisc. Optim., 29(1), 50-60. crossref(new window)

Hinton, E., O zakca, M. and Rao, N.V.R. (1995), "Free vibration analysis and shape optimization of variable thickness prismatic folded plates and curved shells Part I:finite strip formulation", J. Sound Vib., 181(4), 553-556. crossref(new window)

Hirschen, K. and Schafer, M. (2006), "A study on evolutionary multi-objective optimization for flow geometry design", Comput. Mech., 37, 131-141. crossref(new window)

Huang, B. and Du, X. (2007), "Analytical robustness assessment for robust design", Struct. Multidisc. Optim., 34(2), 123-137. crossref(new window)

IS 456 (2000), Plain And Reinforced Concrete - Code Of Practice Is An Indian Standard Code Of Practice For General Structural Use Of Plain And Reinforced Concrete, BIS, India.

IS 875, Part 3 (1987), Code Of Practice For Design Loads (Other Than Earthquake) For Buildings And Structures, Part 3: Wind Loads (Second Revision), BIS, India.

IS 2210 (1988), Criteria for Design of Reinforced Concrete Shell Structure and Folded Plates, BIS, India.

Kaveh, A., Bakhshpoori, T. and Afshari, E. (2015), "Hybrid PSO and SSO algorithm for truss layout and size optimization considering dynamic constraints", Struct. Eng. Mech., 54(3), 453-474 crossref(new window)

Kouchakzadeh, M.A. and Shakouri, M. (2015), "Analytical solution for axisymmetric buckling of joined conical shells under axial compression", Struct. Eng. Mech., 54(4), 649-664. crossref(new window)

Kripka, M. and Pravia, Z.M.C. (2013), "Cold-formed steel channel columns optimization with simulated annealing method", Struct. Eng. Mech., 48(3), 383-394. crossref(new window)

Kutylowski, R. and Rasiak, B. (2014), "Application of topology optimization to bridge girder design", Struct. Eng. Mech., 51(1), 39-66. crossref(new window)

Lakshmy, T.K. and Bhavikatti, S.S. (1995), "Optimum design of trough type folded plate roofs", Comput. Struct., 57(1), 125-130 crossref(new window)

Lakshmi, K. and Rao, A.R.M. (2012), "Multi-objective optimal design of laminate composite shells and stiffened shells", Struct. Eng. Mech., 43(6), 771-794. crossref(new window)

Lee, K. and Park, G. (2001), "Robust optimization considering tolerances of design variable", Comput. Struct., 79(1), 77-86. crossref(new window)

Martinez-Martin, F., Gonzalez-Vidosa, F., Hospitaler, A. and Yepes, V. (2013), "A parametric study of optimum tall piers for railway bridge viaducts", Struct. Eng. Mech., 45(6), 723-740. crossref(new window)

Mautea, K., Weickuma, G. and Eldre, M. (2009), "A reduced-order stochastic finite element approach for design optimization under uncertainty", Struct. Saf., 31(6), 450-459. crossref(new window)

Meng, Z., Peng, H., Li, G., Wang, B. and Zhang, K. (2015), "Non-probabilistic reliability-based design optimization of stiffened shells under buckling constraint", Thin Wall. Struct., 94, 325-333. crossref(new window)

Messac, A. and Ismail-Yahaya, A. (2002), "Multi objective robust design using physical programming", Struct. Multidis. Optim., 23(5), 357-371. crossref(new window)

Milasinovic, D.D. and Goles, D. (2012), "Finite strip modeling for optimal design of reinforced concrete folded plate structures", J. FACTA Universitatis, Series: Arch. Civil Eng., 10(3), 275-290. crossref(new window)

Papadopoulos, V. and Lagaros, N.D. (2009), "Vulnerability-based robust design optimization of imperfect shell structures", Struct. Saf. Optim. Uncert. Emph. Struct. Appl., Special Issue: Optimization, 31(6), 475-482

Pareto, V. (1906), "Manuale di Economica Politica", Societa Editrice Libraria, Milan, translated into English by A.S. Schwier as Manual of Political Economy, Eds. A.S. Schwier and A.N. Page, New York.

Park, G.J., Lee, T.H., Lee, K. and Hwang, K.H. (2006), "Robust design: an overview", AIAA J., 44(1), 181-191. crossref(new window)

Sheikhi, M. and Ghoddosian, A. (2013), "A hybrid imperialist competitive ant colony algorithm for optimum geometry design of frame structures", Struct. Eng. Mech., 46(3), 403-416. crossref(new window)

Sundaresan, S., Ishii, K. and Houser, D.R. (1995), "A robust optimization procedure with variations on design variables and constraints", Eng. Optim., 24(2), 101-117. crossref(new window)

Taguchi, G. (1993), On Robust Technology Development, Bringing Quality Engineering Upstream, ASME Press, New York.

Tejani, A. and Parikh, A.A. (2013), "Computer-aided wind load analysis on reinforced concrete folded plate", J. PARIPEX-Ind. J. Res., 3(4), 87-90.

Tomas, A. and Marti, P. (2010), "Shape and size optimisation of concrete shells", Eng. Struct, 32(6), 1650-1658. crossref(new window)

Varghese, P.C. (2013), Design of Reinforced Concrete Shells and Folded Plates, PHI Learning Pvt. Ltd., India.

Velimirovic, L., Radivojevic, G. and Kostic, D. (1998), "Analysis of hyperbolic paraboloids at small deformations", Sci. J. Facta Univ., Series: Arch. Civil Eng., 1(5), 627-636.

Wang, L. and Kodiyalam, S. (2002), "An efficient method for probabilistic and robust design with nonnormal distributions", Proc. 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials, Denever, Colorado.

Wang, W.M., Peng, Y.H., Hu, J. and Cao, Z.M. (2009), "Collaborative robust optimization under uncertainty based on generalized dynamic constraints network", Struct. Multidisc. Optim., 38(2), 159-170. crossref(new window)

Wu, J., Lu, X.Y., Li, S.C., Zhang, D.L., Xu, Z.H., Li, L.P. and Xue, Y.G. (2015), "Shape optimization for partial double-layer spherical reticulated shells of pyramidal system", Struct. Eng. Mech., 55(3), 555-581. crossref(new window)

Zang, C., Friswell, M.I. and Mottershead, J.E. (2005), "A review of robust optimal design and its application in dynamics", Comput. Struct., 83(4-5), 315-326. crossref(new window)