Abstract
Since 10 years topology optimization has been trying to bring an efficient answer to the automatic choice of the morphology of mechanical components, i.e. the number and the relative positions of the holes in the structural domains, the number and the nature of the structural members, their connectivity and the character of the connecting joints. This problem is one of the main questions to be addressed during the preliminary design phase of mechanical and structural components. Up to now, the selection of the mechanical morphology has been let to engineers’ experience or to their intuition (which is even worse sometimes). With topology optimization the choice of the morphology can now rely on rational arguments and can be driven with the help of mathematical tools. This has two advantages. At first topology optimization can facilitate the automation of the preliminary design, but it can also improve substantially the performance of new mechanical products, that is, topology optimization can propose original and innovative solutions to engineering problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bendsoe M.P. & Kikuchi N. (1988). Generating optimal topologies in structural design using a homogenization method. Comp. Meth. in Appl. Mech. and Eng.,71, 197–224.
Bendsøe M.P. (1995). Optimization of structural topology, shape, and material. Berlin: Springer Verlag.
Bruyneel M. (1998). Le périmètre en optimisation topologique de structures tridimensionnelles. University of Liège, Aerospace Laboratory. Report OF50.
Cheng G. D. & Jiang Z. (1992). Difficulties in truss topology optimization with stress constraints. Ena. Optim., 20, 129–148.
Cheng G.D. & X. Guo. (1997). c-relaxed approach in structural topology optimization. Struct. Opt., 13, 258–266.
Duysinx P. (1997). Layout optimization: a mathematical programming approach. Danish Center for Applied Mathematics and Mechanics. DCAMM Report No 540.
Duysinx P. & M.P. Bendsoe. (1998). Topology optimization of continuum structures with local stress constraints. Int. J. Num. Meth. Engng., 43, 1453–1478.
Haber R.B, Jog C.S. & M.P. Bendsoe. (1996). A new approach to variable-topology shape design using a constraint on perimeter. Struct. Opt., 11, 1–12.
Kirsch U. (1990). On singular topologies in optimum structural design. Struct. Opt., 2, 133–142.
Rozvany G.I.N, Zhou M. & Birker T. (1992). Generalized shape optimization without homogenization. Struct. Opt., 4, 250–252.
Rozvany G.I.N. & Birker T. (1994). On singular topologies in exact layout optimization. Struct. Opt., 8, 228–235.
Rozvany G.I.N. (1996). Some shortcomings in Michell’s truss theory. Struct. Opt., 12, 244–250.
Rozvany G.L.N. (1998). Exact analytical solutions for some popular benchmark problems in topology optimization. Struct. Opt., 15, 42–48.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Duysinx, P., Bruyneel, M. (2002). Recent Progress in Preliminary Design of Mechanical Components with Topology Optimization. In: Chedmail, P., Cognet, G., Fortin, C., Mascle, C., Pegna, J. (eds) Integrated Design and Manufacturing in Mechanical Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9966-5_54
Download citation
DOI: https://doi.org/10.1007/978-94-015-9966-5_54
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6157-7
Online ISBN: 978-94-015-9966-5
eBook Packages: Springer Book Archive