Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
A level set method for structural topology optimization and its applications
Advances in Engineering Software
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
A semi-implicit level set method for structural shape and topology optimization
Journal of Computational Physics
Structural topology optimisation using simulated annealing with multiresolution design variables
Finite Elements in Analysis and Design
Structure assembling by stochastic topology optimization
Computers and Structures
Fuzzy tolerance multilevel approach for structural topology optimization
Computers and Structures
Performance enhancement of evolutionary search for structural topology optimisation
Finite Elements in Analysis and Design
Deterministic edge-preserving regularization in computed imaging
IEEE Transactions on Image Processing
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Structural topologies obtained by SIMP are not completely satisfactory since they exhibit areas with intermediate densities which lack physical meaning. Thus, the designer is left with the nontrivial decision of rounding and approximating the solution. This paper presents SA-SIMP, a hybrid methodology that couples simulated annealing and SIMP under a look-ahead scheme that gradually fixes or removes elements with intermediate densities (i.e., gray areas in SIMP). After designing several strategies and testing them on different structures, SA-SIMP consistently led to topologies with both lower compliances and less gray areas than those obtained by SIMP alone.