Structural Engineering and Mechanics

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Use of design optimization techniques in solving typical structural engineering related design optimization problems

  • Fedorik, Filip (Structural Engineering and Construction Technology Research Group, University of Oulu) ;
  • Kala, Jiri (Institute of Structural Mechanics, Brno University of Technology) ;
  • Haapala, Antti (Wood Material Science, University of Eastern Finland) ;
  • Malaska, Mikko (Structural Engineering and Construction Technology Research Group, University of Oulu)
  • Received : 2014.10.23
  • Accepted : 2015.08.30
  • Published : 2015.09.25
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Abstract

High powered computers and engineering computer systems allow designers to routinely simulate complex physical phenomena. The presented work deals with the analysis of two finite element method optimization techniques (First Order Method-FOM and Subproblem Approximation Method-SAM) implemented in the individual Design Optimization module in the Ansys software to analyze the behavior of real problems. A design optimization is a difficult mathematical process, intended to find the minimum or maximum of an objective function, which is mostly based on iterative procedure. Using optimization techniques in engineering designs requires detailed knowledge of the analyzed problem but also an ability to select the appropriate optimization method. The methods embedded in advanced computer software are based on different optimization techniques and their efficiency is significantly influenced by the specific character of a problem. The efficiency, robustness and accuracy of the methods are studied through strictly convex two-dimensional optimization problem, which is represented by volume minimization of two bars' plane frame structure subjected to maximal vertical displacement limit. Advantages and disadvantages of the methods are described and some practical tips provided which could be beneficial in any efficient engineering design by using an optimization method.

Keywords

References

  1. Awad, Z.K. (2013), "Optimization of a sandwich beam design: analytical and numerical solutions", Struct. Eng. Mech., 48(1), 93-102. https://doi.org/10.12989/sem.2013.48.1.093
  2. Balek, V., Bydzovsky, J., Dufka, A., Drochytka, R. and Beckman, I. N. (2012), "Use of emanation thermal analysis to characterize microstructure development during Portland cement hydration", J. Therm. Anal. Calorim., 111(1), 323-327. https://doi.org/10.1007/s10973-012-2314-6
  3. Bajer, M. and Barnat, J. (2012) "The glue-concrete interface of bonded anchors", Constr. Build. Mater., 34(9), 267-274. https://doi.org/10.1016/j.conbuildmat.2012.02.030
  4. Barnat, J., Bajer, M. and Vyhnankova, M. (2012), "Bond Strength of Chemical Anchor in High-strength Concrete", Proceedings of the 23rd Czech and Slovak Conference on Steel Structures and Bridges, Procedia Eng., 40, 38-43.
  5. Bathe, K.J. (2007), "On reliable finite element methods for extreme loading conditions", Extreme Man-made and Natural Hazards in Dynamics of Structures, Eds. A. Ibrahimbegovic and I. Kozar, Springer-Verlag, 71-102.
  6. Cui, G. and Cui C. (2015), "Shape optimization based on ANSYS", J. Inform. Comput. Sci. (JICS), 12(11), 4291-4297. https://doi.org/10.12733/jics20106234
  7. Deshbhratar, R.J. and Suple, Y.R. (2012), "Analysis & optimization of crankshaft using fem", Int. J. Mod. Eng. Res. (IJMER), 2(5), 3086-3088.
  8. Fedorik, F. (2013), "Analysis of gradient and approximation design optimization methods" robustness", Proceedings of the 19th International Conference on Soft Computing-Mendel 2013, Brno, Czech Republic.
  9. Fedorik, F. (2013), "Efficient design of a truss beam by applying first order optimization method", Proceedings of the ICNAAM 2013-11th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece.
  10. Guler, O. (2010), Foundation of Optimization, Graduate Texts in Mathematics 258, Springer Science+ Business Media, LLC 2010.
  11. Holomek, J. and Bajer, M. (2012), "Experimental and numerical investigation of composite action of steel concrete slab", Procedia Eng., 2012(40), 143-147.
  12. Himeur, M., Benmarce, A. and Guenfoud, M. (2014), "A new finite element based on the strain approach with transverse shear effect", Struct. Eng. Mech., 49(6), 793-810. https://doi.org/10.12989/sem.2014.49.6.793
  13. Jividinejad, A. (2012), "Theory of parametric design optimization approach via finite element analysis", Adv. Theo. Appl. Mech., 5(5), 217-224.
  14. Kala, J., Hradil, P. and Salajka, V. (2011), "Measures which can be used to predict, prevent and resolve the problems of liveliness in footbridges", Proceedings of the 17th Int. Conf. Engineering Mechanics 2011, Svratka, Czech Republic.
  15. Kala, Z. (2012), "Geometrically non-linear finite element reliability analysis of steel plane frames with initial imperfections", J. Civil Eng. Manage., 18(1), 81-90. https://doi.org/10.3846/13923730.2012.655306
  16. Kala, Z. and Kala, J. (2012), "Lateral-torsional buckling analysis of I-beams using shell finite elements and nonlinear computation methods", International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Greece.
  17. Kala, Z. and Kala, J. (2011), "Sensitivity analysis of stability problems of steel columns using shell finite elements and nonlinear computation methods", Proceedings of the 17th International Conference Engineering Mechanics 2011, Svratka, Czech Republic.
  18. Kala, J., Salajka, V. and Hradil, P. (2012), "Sensitivity investigation of eigenvalue problem of water tower construction interacting with fluid", J. Vib., 14(3), 1151-1159.
  19. Karasek, R., Bajer, M. and Jurdova, K. (2012), "Influence of column construction type on the bearing capacity of bonded anchors", Proceedings of the 23rd Czech and Slovak Conference on Steel Structures and Bridges, Procedia Engineering, 40, 195-198.
  20. Khoei, A.R. (2015), Extended Finite Element Method-Theory and Practice, Pondicherry, India.
  21. Mallika, A. and Ramana Rao, N.V. (2010), "Thickness optimization of vibrating shells for minimum volume", Int. J. Civil Struct. Eng., 1(2), 211.
  22. Morin, P., Nochetto, R.H., Pauletti, M.S. and Verani, M. (2012), "Adaptive finite element method for shape optimization", ESAIM: Control, Optim. Calcul. Var., 18(4), 1122-1149. https://doi.org/10.1051/cocv/2011192
  23. Rao, S.S. (1996), Engineering Optimization-Theory and Practice, Fourth Edition, School of Mechanical Engineering, Purdue University, John Wiley & Sons, Indiana.
  24. Rodenas, J.J., Bugeda, G., Albelda, J. and Onate, E. (2011), "On the need for the use of error-controlled finite element analyses in structural shape optimization processes", Int. J. Numer. Meth. Eng., 87(11), 1105-1126. https://doi.org/10.1002/nme.3155
  25. Sahin, A. and Bayraktar, A. (2014), "Computational finite element model updating tool for modal testing of structures", Struct. Eng. Mech., 51(2), 229-248. https://doi.org/10.12989/sem.2014.51.2.229
  26. Shayanfar, M.A., Ashoory, M., Bakhshpoori, T. and Farhadi, B. (2013), "Optimization of modal load pattern for pushover analysis of building structures", Struct. Eng. Mech., 47(1), 119-129. https://doi.org/10.12989/sem.2013.47.1.119
  27. Su, J., Chen, Z., Wang, Z. and Xi, G. (2014), "An adaptive finite element method for shape optimization in stationary incompressible flow with damping", Int. J. Numer. Anal. Model., 5(1-2), 79-96.
  28. Ansys Design Optimization Seminar, for Revision 5.0, Swanson Analysis, System, inc.
  29. Ansys Release 11.1 Documentation Preview.

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