A continuous model for connectivity constraints in topology optimization

被引：6
|
作者：
Donoso, Alberto [1 ]
Aranda, Ernesto [1 ]
Ruiz, David [2 ]
机构：
[1] Univ Castilla La Mancha, Dept Matemat, ETSII, Ciudad Real, Spain
[2] Univ Castilla La Mancha, Dept Matemat, EIIA, Toledo, Spain
来源：
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2023年 / 66卷 / 04期
关键词：
Connectivity; Topology optimization; Enclosed holes; Isolated features; DESIGN; BOUNDS;
D O I：
10.1007/s00158-023-03526-8
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The aim of this work is to present a continuos mathematical model that characterizes and enforces connectivity in a topology optimization problem. That goal is accomplished by constraining the second eigenvalue of an auxiliary eigenproblem, solved together with the governing state law in each step of the iterative process. Our density-based approach is illustrated with 2d and 3d numerical examples in the context of structural design.
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页数：9
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