Robust topology optimization accounting for spatially varying manufacturing errors

By Mattias Schevenels, Boyan S. Lazarov, Ole Sigmund. 2011

290 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/314fbfc98efbfe2cc8bffa626e4f57a93ee9b475

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Topology optimization of fail-safe structures using a simplified local damage model (2014, background): “The robust projection filter (Wang et al., 2011; Schevenels et al., 2011) can be adopted in case the sensitivity of the design with respect to uniform imperfections becomes important.”
An efficient approach to reliability-based topology optimization for continua under material uncertainty (2015, background): “…research in this direction has focused on robust topology optimization (RTO) under uncertainty (Guest and Igusa 2008; Chen et al. 2010; Asadpoure et al. 2010, 2011; Jalalpour et al. 2011; Schevenels et al. 2011; Lazarov et al. 2012a, b; Tootkaboni et al. 2012; Jang et al. 2012; Jansen et al. 2013).”
Robust structural topology optimization considering boundary uncertainties (2013, methodology): “[16] extended the above method to the case where non-uniform manufacturing errors are considered.”
Robust topology optimization accounting for misplacement of material (2012, methodology): “These results can be improved by incorporating the threshold value of the projection step as a uniformly distributed random variable η(θ) ∈ U[a; b] (Schevenels et al. 2011).”
Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures (2016, background): “[48], or some quite recent examples [49], [50], [51]).”
Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing (2014, background): “A number of other authors have tackled the issue by using Monte Carlo simulation to represent manufacturing uncertainties in the context of projection schemes [61,62] and level set methods [63].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “…engineering parameters using density-methods have been studied including loading (Guest and Igusa 2008; Lógó et al. 2009), manufacturing errors (Sigmund 2009; Wang et al. 2011c; Schevenels et al. 2011; Qian and Sigmund 2013), and material properties (Tootkaboni et al. 2012; Lazarov et al. 2012).”
Topology optimization approaches (2013, background): “As the authors see it, so far only the robust optimization schemes (Sigmund 2009; Wang et al. 2011; Schevenels et al. 2011; Chen and Chen 2011; Guo et al. 2013) are able to provide full length-scale control without running into problems with favorization of grey scale regions.”
Minimum length scale in topology optimization by geometric constraints (2015, background): “The overall scheme does not require additional finite element analysis comparing to the robust formulation [11, 12, 13].”
Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis (2015, methodology): “the Monte Carlo method) [11] are often applied in robust topology optimization.”
Length scale and manufacturability in density-based topology optimization (2016, methodology): “Alternatively the volume constraint can be applied on the mean volume [122].”