TOuNN: Topology Optimization using Neural Networks

Neural networks, and more broadly, machine learning techniques, have been recently exploited to accelerate topology optimization through data-driven training and image processing. In this paper, we demonstrate that one can directly execute topology optimization (TO) using neural networks (NN). The p...

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Vydané v:Structural and multidisciplinary optimization Ročník 63; číslo 3; s. 1135 - 1149
Hlavní autori: Chandrasekhar, Aaditya, Suresh, Krishnan
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2021
Springer Nature B.V
Predmet:
Computational Mathematics and Numerical Analysis
Density
Design optimization
Engineering
Engineering Design
Image processing
Isotropic material
Machine learning
Neural networks
Optimization
Research Paper
Theoretical and Applied Mechanics
Topology optimization
Topology optimization
Neural networks
Machine learning
ISSN:1615-147X, 1615-1488
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Shrnutí:Neural networks, and more broadly, machine learning techniques, have been recently exploited to accelerate topology optimization through data-driven training and image processing. In this paper, we demonstrate that one can directly execute topology optimization (TO) using neural networks (NN). The primary concept is to use the NN’s activation functions to represent the popular Solid Isotropic Material with Penalization (SIMP) density field. In other words, the density function is parameterized by the weights and bias associated with the NN, and spanned by NN’s activation functions; the density representation is thus independent of the finite element mesh. Then, by relying on the NN’s built-in backpropogation, and a conventional finite element solver, the density field is optimized. Methods to impose design and manufacturing constraints within the proposed framework are described and illustrated. A byproduct of representing the density field via activation functions is that it leads to a crisp and differentiable boundary. The proposed framework is simple to implement and is illustrated through 2D and 3D examples. Some of the unresolved challenges with the proposed framework are also summarized.
Bibliografia:ObjectType-Article-1
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-020-02748-4