Abstract
The “Bubble Method” is one of the methods of topology optimization techniques. Its basic idea is to iteratively position new holes (bubbles) in a structure by means of a definite function and a hierachically secondary shape optimization. The expression of the definite function depends on the special optimization functionals and the material behaviour. In this paper the difference of optimal shapes of a cantilever disc made of ductile and brittle materials is presented and, furthermore, the Bubble Method is used for finding a best possible initial design of a cantilever disc made of ductile materials.
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References
Banichuk N.V. (1990) Introduction to optimization of structures. Springer, N.Y.
Bendsøe M.P., Kikuchi N. (1988) “Generating optimal topologies in structural design using a homogenization method”, Comput. Meth. Appl. Mech. Eng. 71, pp. 197–224
Böhm, W., Farin, G., Kahmann, J. (1984) “A survey of curve and surface methods”,CAGD Computer Aided Geometic Design, pp. 1–60
Bremicker, M., Chirehdast, M., Kikuchi, N., Papalambros, P.Y. (1990) “Integrated Topology and Shape Optimization in Structural Design”, Technical Report UM-MEAM-DL-90-01, University of Michigan, USA
Courant, R., Hilbert, D. (1968) Methods of Mathematical Physics, Springer Verlag,Berlin.
Eschenauer H., Koski J., Osyczka A. (1990) Multicriteria Design Optimization -Procedures and Applications, Springer Verlag, Berlin.
Eschenauer, H.A, Kobelev, V., Schumacher, A. (1993) “Bubble Method of topology structural optimization”, to appear in J. Struct. Opt. 1993
Eschenauer, H.A.; Vietor, T. (1992) “Effects in the Optimization Using Brittle and Ductile Materials”, in P. Pederson (ed.): Optimal Design with Advanced Materials, to be published in the proceedings volume of the IUTAM-Symposium in Lynby, DK, August 18–20, 1992
Eschenauer H., Post, P.U., Bremicker, M. (1990) “Optimization Procedure SAPOP -A General Tool for Multicriteria Structural Designs”, in [6]
Eschenauer H., Geilen, J., Wahl, H.J. (1992) “SAPOP, An Optimization Procedure for Multicriteria Structural Design”, in Schittkowski, K., Hörnlein, H. (eds.). Numerical Methods in FE-based structural optimization. Int. Series of. Num. Math.. Birkhäuser-Verlag
Fleury, Braibant, V. (1986) “Structural Optimization: A new dual method using mixed variables”, Int. J. for numerical meth. in Engineering Vol. 23, 405–428
Lasdon, L.S. (1982) “Reduced Gradient Methods”, Powell, M.J.D. (ed.),Nonlinear Optimization, London, Academic Press, pp. 243–250
Svanberg, K. (1987) “The Method of Moving Asymptotes -A New Method for Structural Optimization”, Int. J. for Numerical Meth. in. Eng., Vol.24, 359–373
N.N. (1988) “ANSYS User’s Manual, Vol. I,II”, Swanson Analysis Systems Inc. Houston, Pensylvania
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© 1993 Springer Science+Business Media Dordrecht
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Eschenauer, H.A., Schumacher, A., Vietor, T. (1993). Decision Makings for Initial Designs Made of Advanced Materials. In: Bendsøe, M.P., Soares, C.A.M. (eds) Topology Design of Structures. NATO ASI Series, vol 227. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1804-0_33
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DOI: https://doi.org/10.1007/978-94-011-1804-0_33
Publisher Name: Springer, Dordrecht
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