Keywords: topology optimization, corner contact suppression, objective function, effect increasing multiplier, Co-SIMP, tuning parameters, results.

The Co-SIMP algorithm [1], developed by Pomezanski in 2004, is an effective and proper numerical method for corner contact suppression in topology optimization problems [2,3]. The process solves the minimal weight and minimal corner contact design of plate structures built-up from square ground elements. The minimal corner contact design is determined by an objective function giving penalties for the uncorrected connections during the optimization process [1,4,5].

The solutions from the applied Co-SIMP topology optimization method strongly depend on the choice of the so called tuning parameters e.g. compliance limit, number of elements, position of the structure, etc. [6,7]. The main adjusting parameter is the corner contact penalty function and the corresponding enlarging multiplier. The paper presents the effects and opportunities of the variation of these main parameters with examples. The effect of many other listed and accordant tuning parameters was studied and presented in [8].

The example structure presented, a Michell cantilever, affirms that the analysed Co-SIMP method is able to present many optimal solutions for a given set. To determine which one is the real optimum additional adequate conditions are necessary.

1

V. Pomezanski, O.M. Querin, G.I.N. Rozvany, "CO-SIMP: extended SIMP algorithm with direct COrner COntact COntrol", in Structural and Multidisciplinary Optimization, Springer, 30(2), 396-399, 2004. doi:10.1007/s00158-005-0514-4

2

G.I.N. Rozvany, O.M. Querin, Z. Gáspár, V. Pomezanski, "Weight-increasing effect of topology simplification", in Structural and Multidisciplinary Optimization, Springer, 25(5-6), 459-465, 2003. doi:10.1007/s00158-003-0334-3

3

G.I.N. Rozvany, O.M. Querin, Z. Gáspár, V. Pomezanski, "Extended optimality in topology design", in G. Rozvany, (Editor), Structural and Multidisciplinary Optimization, Springer, 24(3), 257-261, 2002. doi:10.1007/s00158-002-0235-x

4

V. Pomezanski, "Controlling Single-Node Connections in Plane and in Space", in B.H.V. Topping, (Editor), Proceedings of the Fifteenth UK Conference of the Association of Computational Mechanics in Engineering, Civil-Comp Press, Stirlingshire, UK, Paper 58, 2007. doi:10.4203/ccp.85.58

5

V. Pomezanski, "Corner Contact Penalty Functions in Plane and in Space", in Pollack Periodika, An International Journal for Engineering and Information Sciences, Akadémiai Kiadó, Hungary, 2, 39-50, 2007. doi:10.1556/Pollack.2.2007.2.4

6

G.I.N. Rozvany, O.M. Querin, V. Pomezanski, Z. Gáspár, J. Lógó, "Some basic issues of topology optimization", in M.P. Bendso, N. Olhoff, O. Sigmund, (Editors), IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials, Series of Solid Mechanics and Its Applications, 137(2), Springer, 77-86, 2006.

7

G.I.N. Rozvany, V. Pomezanski, Z. Gáspár, O.M. Querin, "Some Pivotial Issues in Structural Optimization", 6th World Congress on Structural and Multidisciplinary Optimization (WCSMO6), Book of Abstracts and CD-ROM Proceedings, Rio de Janeiro, 147, 30 May-3 June 2005.

8

V. Pomezanski, "Heuristic Features of the Extended SIMP Algorithm in Topology Optimization", in B.H.V. Topping, L.F. Costa Neves, R.C. Barros, (Editors), Proceedings of the Twelfth International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, United Kingdom, paper 62, 2009. doi:10.4203/ccp.91.62

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