Topological gradient in structural optimization under stress and buckling constraints

作者：

Highlights：

• The minimization of the structural mass for mechanical structures under stress and buckling constraints in a topological-gradient framework is proposed.

• An extension of the inverse-iterations algorithm is proposed for buckling analysis, featuring low memory consumption.

• The adjoint method is applied to efficiently compute the constraint gradients.

• Numerical results on mechanical structures, including a real application arising in the aeronautical field, show the effectiveness of the proposed approach.

摘要

•The minimization of the structural mass for mechanical structures under stress and buckling constraints in a topological-gradient framework is proposed.•An extension of the inverse-iterations algorithm is proposed for buckling analysis, featuring low memory consumption.•The adjoint method is applied to efficiently compute the constraint gradients.•Numerical results on mechanical structures, including a real application arising in the aeronautical field, show the effectiveness of the proposed approach.

论文关键词：Topology optimization,Topological gradient,Buckling constraints,Generalized eigenvalue problem

论文评审过程：Received 25 May 2020, Revised 17 January 2021, Accepted 23 January 2021, Available online 10 February 2021, Version of Record 11 July 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126032