Bilateral filtering for structural topology optimization

By Michael Y. Wang, Shengyin Wang. 2005

98 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/495442de1abf0390258f244257682b548520cf6c

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Morphology-based black and white filters for topology optimization (2007, methodology): “Wang and Wang (2005) suggest a modification to (12), a so-called bi-lateral filter, which apart from the distance weighting also includes a density weighting ρ̃e = ∑ i∈Ne w(xi)w̃(ρi)viρi ∑ i∈Ne w(xi)w̃(ρi)vi , (26) where w̃(ρi) = e − 1 2 ( ρi−ρe σr )2 .”
Radial basis functions and level set method for structural topology optimization (2006, methodology): “On the other hand, if a volume constraint is to be strictly applied to the minimum compliance design problem, as done in the classical minimum compliance design problems using the SIMP method in the literature [16, 18, 24, 46], the value of l should be variable during the optimization process.”
Honeycomb Wachspress finite elements for structural topology optimization (2009, methodology): “Other methods that address the mesh-dependency problem include the perimeter control (Ambrosio and Buttazzo 1993; Haber et al. 1996), density and sensitivity filters (Bruns 2005; Wang and Wang 2005 ), monotonicitybased method (Poulsen 2003), regularized density control (Borrvall and Petersson 2001b”
Structural Shape and Topology Optimization Using an Implicit Free Boundary Parametrization Method (2006, methodology): “The positive features of RBFs such as the unique solvability of the interpolation problem and their excellent smoothness and convergence make them very attractive in the level set methods [Wang and Wang (2005d)].”
Volume preserving nonlinear density filter based on heaviside functions (2010, methodology): “and Wang 2005), density filter with a Heaviside function (Guest et al. 2004), modified density filter with a Heaviside function (Sigmund 2007), alternative sensitivity filter (Borrvall 2001), sensitivity filter without density weighting (Sigmund 2001), mean sensitivity filter (Sigmund 2007) and bi-l”
Multi-objective concurrent topology optimization of thermoelastic structures composed of homogeneous porous material (2013, background): “2001), density filters (Bourdin 2001; Wang and Wang 2005), sensitivity filters (Sigmund 1994a), morphologybased operators (Sigmund 2007) and projection schemes (Guest, Prevost et al.”
An enhanced genetic algorithm for structural topology optimization (2006, methodology): “8(b) with 7(d), it can be seen that both final topologies are quite similar and the one resulting from the SIMP method may suffer from its blurry boundary due to the smoothing of the linear filter across the edges [13].”
Multimaterial structural topology optimization with a generalized Cahn–Hilliard model of multiphase transition (2006, methodology): “The most common method is to use afiltering process such as linear filtering (Sigmund 1997; Bourdin 2001), nonlinear diffusion (Wang et al. 2004), or bilateral filtering ( Wang and Wang 2005 ), averaging the material distribution in a small area covering several neighboring elements isotropic-wise o”
Robust topology optimization of photonic crystal waveguides with tailored dispersion properties (2011, unknown): “minimum length scale [14–22].”