Topological gradient in structural optimization under stress and buckling constraints

F. Mitjana, S. Cafieri, F. Bugarin, S. Segonds, F. Castanie and P. Duysinx

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: 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.

Keywords: Topology optimization; Topological gradient; Buckling constraints; Generalized eigenvalue problem (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321000801

DOI: 10.1016/j.amc.2021.126032

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