A Modified Volumetric Penalization Method for Gray Elements Suppression

Article Preview

Abstract:

The volumetric penalization approach is an important method for gray elements suppression in topology optimization. With the volumetric penalization approach, the topology optimization problem is consistent and regularized, and topology description is unambiguous. Considering the fact that an unreasonable topological form of structure is sometimes resulted with the traditional volumetric penalization function, a modified function is proposed. By utilizing the modified function, the gray elements are compelled to be 0 or 1, and the efficiency of optimization solving is also improved. To verify the validity of the modified method, it is compared with the famous volumetric penalization method, SINH method, through a typical example. Simultaneously, its numerical instabilities are also analyzed.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

25-29

Citation:

Online since:

November 2012

Export:

Price:

[1] M. Wang, S. Zhou, H. Ding: Struct Multidisc Optim, Vol. 28 (2004), p.262–276.

Google Scholar

[2] O. Sigmund: Struct Multidisc Optim, Vol. 33 (2007), p.401–424.

Google Scholar

[3] A.A. Groenwold, L.F.P. Etman: Struct and Multidisc Optim, Vol. 39 (2009) No. 3, pp.217-225.

Google Scholar

[4] K. Long, H.W. Zhao: Journal of Computer-Aided Design & Computer Graphics, Vol. 22 (2010) No. 12, pp.2197-2201.

Google Scholar

[5] T.E. Bruns: Struct Multidisc Optim, Vol. 30 (2005) No. 6, pp.428-436.

Google Scholar

[6] M. Zhou, G. Rozvany: Comp. Meth. Appl. Mech. Eng. Vol. 40 (1991), p.1–26.

Google Scholar

[7] J.M. Guedes, J.E. Taylor: Struct Optim. Vol. 14 (1997), p.193–199.

Google Scholar

[8] E.L. Cardoso, J.S.O. Fonseca: J Braz Soc Mech Sci Eng, Vol. XXV (2003) No. 3, p.293–301.

Google Scholar

[9] T.E. Bruns: Computer Methods in Applied Mechanics and Engineering, Vol. 196 (2007), pp.4430-4443.

Google Scholar

[10] T.E. Bruns: International Journal of Heat and Mass Transfer, Vol. 50 (2007), pp.2859-2873.

Google Scholar

[11] M.P. Bendson: Optimization of structural topology, shape and material (Springer-Verlag Telos, Inc. New York, 1995).

Google Scholar

[12] E.J. Haug, K.K. Choi, V. Komkov: Design Sensitivity Analysis of Structural Systems (Academic Press, Inc. New York, 1986).

Google Scholar

[13] T.E. Bruns, D.A. Tortorelli: Comput Methods Appl Mech Eng, Vol. 190 (2001), p.3443–3459.

Google Scholar

[14] X.D. Huang, Y.M. Xie: Struct Multidisc Optim, Vol. 41 (2010) No. 5, pp.671-683.

Google Scholar