Morphology-based black and white filters for topology optimization
- First Online:
- 2.2k Downloads
To ensure manufacturability and mesh independence in density-based topology optimization schemes, it is imperative to use restriction methods. This paper introduces a new class of morphology-based restriction schemes that work as density filters; that is, the physical stiffness of an element is based on a function of the design variables of the neighboring elements. The new filters have the advantage that they eliminate grey scale transitions between solid and void regions. Using different test examples, it is shown that the schemes, in general, provide black and white designs with minimum length-scale constraints on either or both minimum hole sizes and minimum structural feature sizes. The new schemes are compared with methods and modified methods found in the literature.
KeywordsTopology optimization Regularization Image processing Morphology operators Manufacturing constraints
Unable to display preview. Download preview PDF.
- Bendsøe MP, Sigmund O (2003) Topology optimization—theory, methods and applications. Springer, Berlin Heidelberg New York, XIV+370 pp.Google Scholar
- Cardoso EL, Fonseca JSO (2003) Complexity control in the topology optimization of continuum structures. J Braz Soc Mech Sci Eng (3):293–301Google Scholar
- Haber RB, Jog CS, Bendsøe MP (1994) Variable-topology shape optimization with a constraint on perimeter. In: Gilmore B, et al. (eds) Advances in design automation, vol DE 69-2. ASME, New York, pp 261–272Google Scholar
- Sigmund O (1994) Design of material structures using topology optimization. PhD thesis, Department of Solid Mechanics, Technical University of Denmark, DK-2800 Lyngby, the Danish Center for Applied Mathematics and Mechanics, DCAMM Special Report No. S69Google Scholar
- Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mechan Struct Mach 25(4):493– 524Google Scholar
- Sigmund O (2001b) Design of multiphysics actuators using topology optimization - Part II: two-material structures. Comput Methods Appl Mech Eng 190(49-50):6605–6627. DOI 10.1016/S0045-7825(01)00252-3