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2. Basic principles of topological optimization in mechanics
We are considering a discretization using the finite element method is used for discretization, and to simplify, in linear elasticity, which is most often the case in topological optimization, at least for initial design purposes. We denote U the generalized displacement vector, which must respect boundary conditions, K the stiffness matrix and F the generalized force vector. The equilibrium and boundary conditions of the problem are expressed by the system :
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Basic principles of topological optimization in mechanics
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Bibliography
Standard
- Additive manufacturing – Design – Part 1: laser melting on a metal powder bed. - NF EN ISO/ASTM 52911-1 - Septembre 2019
Patents
By 2022, the exact term "topological optimization" was already present in the titles of 349 patents, mainly for part designs, but also patents on mathematical methods.
The majority of patents filed are Chinese (346, including 275 filed by universities), 2 Japanese and 1 American.
In practice, all these patents place very few, if any, restrictions on the use of topological optimization,...
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Open source :
Matlab files [2]
Scilab, Python, FreeFEM++ files, ... : http://www.topology-opt.com/software-list
Free software :
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