Generalized shape optimization without homogenization

Rozvany, G. I. N.; Zhou, MF; Birker, T.

doi:10.1007/bf01742754

Cited by 912 publications

(304 citation statements)

References 14 publications

Supporting

Mentioning

301

Contrasting

Unclassified

Order By: Relevance

“…As our focus is on the performance of the AM filter, we restrict the discussion to linear elastic compliance minimization under a volume constraint, using the SIMP material interpolation (Bendsøe 1989;Rozvany et al 1992). Examples use Young's modulus E = 1 and Poisson ratio ν = 0.3, and an objective scaling factor of 0.01 was used.…”

Section: Problem Definitionmentioning

confidence: 99%

An additive manufacturing filter for topology optimization of print-ready designs

Langelaar

2016

Struct Multidisc Optim

280

177

View full text Add to dashboard Cite

Additive manufacturing (AM) offers exciting opportunities to manufacture parts of unprecedented complexity. Topology optimization is essential to fully exploit this capability. However, AM processes have specific limitations as well. When these are not considered during design optimization, modifications are generally needed in post-processing, which add costs and reduce the optimized performance. This paper presents a filter that incorporates the main characteristics of a generic AM process, and that can easily be included in conventional density-based topology optimization procedures. Use of this filter ensures that optimized designs comply with typical geometrical AM restrictions. Its performance is illustrated on compliance minimization problems, and a 2D Matlab implementation is provided.

show abstract

Section: Problem Definitionmentioning

confidence: 99%

An additive manufacturing filter for topology optimization of print-ready designs

Langelaar

2016

Struct Multidisc Optim

280

177

View full text Add to dashboard Cite

show abstract

“…A Solid Isotropic Material with Penalization (SIMP) interpolation [14,15] is used to interpolate the material properties α:…”

Section: Topology Optimizationmentioning

confidence: 99%

Topology Optimization of Wave Barriers for Railway Induced Vibrations in Buildings

hoorickx¹,

Schevenels²,

Lombaert³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

View full text Add to dashboard Cite

show abstract

“…For example, the Solid Isotropic Material with Penalization (SIMP) [Rovzany et al, 1992, Zhou and Rovzany, 1991, Bendsoe, 1989, Bendsoe and Sigmund, 1999 model expresses the stiffness for each element as a function of the density using the following well-known powerlaw relationship:…”

Section: Topology Optimization Frameworkmentioning

confidence: 99%

Application of layout and topology optimization using pattern gradation for the conceptual design of buildings

Stromberg

Beghini

Baker

et al. 2010

Struct Multidisc Optim

115

View full text Add to dashboard Cite

This work explores the use of manufacturing-type constraints, in particular pattern gradation and repetition, in the context of layout optimization. By placing constraints on the design domain in terms of number and size of repeating patterns along any direction, the conceptual design for buildings is facilitated. To substantiate the potential future applications of this work, examples within the context of high-rise building design are presented. Successful development of such ideas will lead to practical engineering solutions, especially during the building design process. Throughout this work, a continuous topology optimization formulation is utilized with compliance as the objective function and constraints on the pattern geometry. Examples are given to illustrate the ideas developed both in two-dimensional and three-dimensional building configurations.ii To my father, Barry and my mother, Kathy.iii

show abstract

Generalized shape optimization without homogenization

Cited by 912 publications

References 14 publications

An additive manufacturing filter for topology optimization of print-ready designs

An additive manufacturing filter for topology optimization of print-ready designs

Topology Optimization of Wave Barriers for Railway Induced Vibrations in Buildings

Application of layout and topology optimization using pattern gradation for the conceptual design of buildings

Contact Info

Product

Resources

About