Article Dans Une Revue Applied Mathematics and Computation Année : 2021

Topological gradient in structural optimization under stress and buckling constraints

Résumé

Structural topology optimization aims to design mechanical structures by seeking the optimal material layout within a given design space. Within this framework, this paper addresses the minimization of the structural mass under stress and buckling constraints, formulated as a nonlinear combinatorial optimization problem. An algorithm is proposed for such a problem, that follows a topological gradient-based approach. The adjoint method is applied to efficiently compute the constraint gradients. An iterative algorithm for buckling analysis, featuring low memory requirements, is also proposed. Numerical results, including a real application arising in the aeronautical field, illustrate the efficiency of the two proposed algorithms.

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Dates et versions

hal-03134108 , version 1 (08-02-2021)

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Florian Mitjana, Sonia Cafieri, Florian Bugarin, Stéphane Segonds, F Castanie, et al.. Topological gradient in structural optimization under stress and buckling constraints. Applied Mathematics and Computation, 2021, 409, ⟨10.1016/j.amc.2021.126032⟩. ⟨hal-03134108⟩
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