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Article | REF: BM7987 V1

Topological optimization. Design for additive manufacturing

Author: Lionel ARNAUD

Publication date: March 10, 2023

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2. Basic principles of topological optimization in mechanics

For simplicity's sake, the finite element method is used for discretization, 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 :

( 1 )

...

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