Article (Scientific journals)
Topological gradient in structural optimization under stress and buckling constraints
MITJANA, Florian; CAFIERI, Sonia; BUGARIN, Florian et al.
2021In Applied Mathematics and Computation, 409, p. 126032
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Keywords :
Topology optimization; Topological gradient; Buckling constraints; Generalized eigenvalue problem
Abstract :
[en] 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.
Disciplines :
Mechanical engineering
Mathematics
Aerospace & aeronautics engineering
Author, co-author :
MITJANA, Florian;  HEC Montréal
CAFIERI, Sonia;  Université de Toulouse > ENAC
BUGARIN, Florian;  INSA/UPS/ISAE/Mines Albi
SEGONDS, Stéphane;  INSA/UPS/ISAE/Mines Albi
CASTANIE, Fabien;  AVANTIS Group
Duysinx, Pierre  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Language :
English
Title :
Topological gradient in structural optimization under stress and buckling constraints
Alternative titles :
[en] Gradient topologique en optimisation structural avec restrictions de tension et de flambage
Publication date :
10 November 2021
Journal title :
Applied Mathematics and Computation
ISSN :
0096-3003
eISSN :
1873-5649
Publisher :
Elsevier, Netherlands
Volume :
409
Pages :
126032
Peer reviewed :
Peer Reviewed verified by ORBi
Name of the research project :
AVANTIS
Funders :
ANRT - Association Nationale de la Recherche et de la Technologie [FR]
Available on ORBi :
since 12 March 2022

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