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Fuzzy-based integrated zero-order shape optimization of steel–concrete–steel sandwich beams


Affiliations
1 Department of Civil Engineering, Indian Institute of Technology-Banaras Hindu University, Varanasi 221 005, India
 

This study presents a fuzzy-based integrated zero-order approach for shape optimization of steel–con­crete–steel (SCS) sandwich beams. The method works on the novel idea of changing the shape of faceplates and core at the interface without affecting the overall shape of the beams. The proposed zero-order shape optimization technique is based on perpendicular growth and shrinkage in the design boundary at the interface of the faceplate and core to obtain an opti­mized shape. The concept of ‘design elements’ has been used to avoid mesh distortion. Automatic mesh generation and refinement are incorporated at each iteration. Fuzzy set theory is used to control the move­ment of nodes and convergence monitoring. A target maximum shear stress value (st) is taken up and the shape is changed such that maximum shear stress (s) at any point is smaller than or equal to the st. For this, fuzzy membership functions in the form of triangular shape function have been used. The proposed approach coded in FORTRAN is labelled as gradientless shape optimization (GSO). It is found to perform effectively in determining the optimized shape of faceplates and core. To explain the efficacy of the proposed method, a few examples have been taken with changing boundary conditions and shape of the SCS sandwich beam

Keywords

Design elements, fuzzy membership function, sandwich beams, shape optimization, zero-order approach
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  • Solomon, S. K., Smith, D. and Cusens, A., Flexural tests of steel– concrete–steel sandwiches. Mag. Concr. Res., 1976, 28(94), 13–20.
  • Huang, S. N. and Alspaugh, D. W., Minimum weight sandwich beam design. Am. Inst. Aeronaut. Astron. J., 1974, 12(12), 1617– 1618.
  • Triantafillou, T. C. and Gibson, L. J., Minimum weight design of foam core sandwich panels for a given strength. Mater. Sci. Eng., 1987, 95, 55–62.
  • Demsetz, L. A. and Gibson, L. J., Minimum weight design for stiffness in sandwich plates with rigid foam cores. Mater. Sci. Eng., 1987, 85, 33–42.
  • Hanifehzadeh, M. and Mousavi, M. M. R., Predicting the structural performance of sandwich concrete panels subjected to blast load considering dynamic increase factor. J. Civil Eng., Sci. Technol., 2019, 10(1), 45–58.
  • Paydar, N. and Park, G. J., Optimal design of sandwich beams. Comput. Struct., 1990, 34(4), 523–526.
  • Gibson, L. J., Optimization of stiffness in sandwich beams with rigid foam cores. Mater. Sci. Eng., 1984, 67(2), 125–135.
  • Swanson, S. R. and Jongman, K., Optimization of sandwich beams for concentrated loads. J. Sandw. Struct. Mater., 2002, 4(3), 273– 293.
  • Bergan, P. G., Bakken, K. and Thienel, C., Analysis and design of sandwich structures made of steel and lightweight concrete. In III European Conference on Computational Mechanics (eds Motasoares, C. A. et al.), Springer, Dordrecht, The Netherlands, 2008, pp. 1–18.
  • Steeves, C. A., Optimizing sandwich beams for strength and stiffness. J. Sandw. Struct. Mater., 2012, 14(5), 573–595.
  • Sjølund, J. H., Peeters, D. and Lund, E., Discrete material and thickness optimization of sandwich structures. Comp. Struct., 2019, 217, 75–88.
  • Al-Fatlawi, A., Károly, J. and György, K., Structural optimization of a sandwich panel, design for minimum weight shipping and airplane containers. In MultiScience-XXXIII. microCAD International Multidisciplinary Scientific Conference, Miskolc, Hungary, 2019, pp. 1–10.
  • Kondratiev, A. and Gaidachuk, V., Weight-based optimization of sandwich shelled composite structures with a honeycomb filler. East. Eur. J. Enterpr. Technol., 2019, 1/1(97), 24–33.
  • Fan, H., Wang, H. and Chen, X., Optimization of multi-sandwichpanel composite structures for minimum weight with strength and buckling considerations. Sci. Eng. Compos. Mater., 2018, 25(2), 229–241.
  • Munk, D. J., Vio, G. A. and Steven, G. P., Topology and shape optimization methods using evolutionary algorithms: a review. Struct. Multidiscip. Optim., 2015, 52(3), 613–631.
  • Mattheck, C., Biological shape optimisation of mechanical components based on growth. In Proceedings of the International Congress on Finite Element Method, Baden-Baden, Germany, 1989, pp. 167–176.
  • Mattheck, C. and Erb, D., Shape optimisation of a rubber bearing. Int. J. Fatigue, 1991, 13(3), 206–208.
  • Mattheck, C. and Burkhardt, S., A new method of structural shape optimisation based on biological growth. Int. J. Fatigue, 1990, 12(3), 185–190.
  • Mattheck, C. and Burkhardt, S., Successful three-dimensional shape optimization of a bending bar with rectangular hole. Fatigue Fract. Eng. Mater. Struct., 1992, 15(4), 347–351.
  • Zhixue, W., An efficient approach for shape optimization of components. Int. J. Mech. Sci., 2005, 47(10), 1595–1610.
  • Lingyun, W., Mei, Z., Guangming, W. and Guang, M., Truss optimisation on shape and sizing with frequency constraints based on genetic algorithms. Comput. Mech., 2005, 35(5), 361–368.
  • Nagy, A. P., Abdalla, M. M. and Gürdal, Z., Isogeometric sizing and shape optimization of beam structures. In Structures, Structural Dynamics, and Materials Conference, Palm Springs, California, USA, 2009.
  • Lee, K. and Geem, Z., A new structural optimization method based on the harmony search algorithm. Comput. Struct., 2004, 82(9–10), 781–798.
  • Manan, A., Vio, G. A., Harmin, M. Y. and Cooper, J. E., Optimisation of aeroelastic composite structures using evolutionary algorithms. Eng. Optim., 2010, 42(2), 171–184.
  • Georgiou, G., Vio, G. A. and Cooper, J. E., Aeroelastic tailoring and scaling using bacterial forging optimisation. Struct. Multidisc. Optim., 2014, 50, 81–99.
  • Imam, M. H., Three-dimensional shape optimization. Int. J. Numer. Methods Eng., 1982, 18(5), 661–673.
  • Zienkiewicz, O. C. and Taylor, R. L., The Finite Element Method, Vols 1&2, McGraw Hill, London, UK, 1991, 4th edn.
  • Krishnamoorthy, C. S., Finite Element Analysis Theory and Programming, McGraw Hill, New Delhi, 1994.
  • Zimmermann, H. J., Fuzzy Set Theory, Kluwer, Dordrecht, The Netherlands, 1996.
  • IS 456:2000, Plain and reinforced concrete – code of practice.

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  • Fuzzy-based integrated zero-order shape optimization of steel–concrete–steel sandwich beams

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Authors

Ishan Jha
Department of Civil Engineering, Indian Institute of Technology-Banaras Hindu University, Varanasi 221 005, India
Krishna K. Pathak
Department of Civil Engineering, Indian Institute of Technology-Banaras Hindu University, Varanasi 221 005, India

Abstract


This study presents a fuzzy-based integrated zero-order approach for shape optimization of steel–con­crete–steel (SCS) sandwich beams. The method works on the novel idea of changing the shape of faceplates and core at the interface without affecting the overall shape of the beams. The proposed zero-order shape optimization technique is based on perpendicular growth and shrinkage in the design boundary at the interface of the faceplate and core to obtain an opti­mized shape. The concept of ‘design elements’ has been used to avoid mesh distortion. Automatic mesh generation and refinement are incorporated at each iteration. Fuzzy set theory is used to control the move­ment of nodes and convergence monitoring. A target maximum shear stress value (st) is taken up and the shape is changed such that maximum shear stress (s) at any point is smaller than or equal to the st. For this, fuzzy membership functions in the form of triangular shape function have been used. The proposed approach coded in FORTRAN is labelled as gradientless shape optimization (GSO). It is found to perform effectively in determining the optimized shape of faceplates and core. To explain the efficacy of the proposed method, a few examples have been taken with changing boundary conditions and shape of the SCS sandwich beam

Keywords


Design elements, fuzzy membership function, sandwich beams, shape optimization, zero-order approach

References





DOI: https://doi.org/10.18520/cs%2Fv121%2Fi7%2F941-949