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.
引用
收藏
页数：9
相关论文
共 50 条
  • [21] Particle swarm optimization with increasing topology connectivity
    Lim, Wei Hong
    Isa, Nor Ashidi Mat
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2014, 27 : 80 - 102
  • [22] Topology group concept for truss topology optimization with frequency constraints
    Xu, B
    Jiang, JS
    Tong, WH
    Wu, KG
    JOURNAL OF SOUND AND VIBRATION, 2003, 261 (05) : 911 - 925
  • [23] A review of optimization of cast parts using topology optimization - II - Topology optimization with manufacturing constraints
    Harzheim, Lothar
    Graf, Gerhard
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2006, 31 (05) : 388 - 399
  • [24] Linear feature conflation: An optimization-based matching model with connectivity constraints
    Lei, Ting L. L.
    Lei, Zhen
    TRANSACTIONS IN GIS, 2023, 27 (04) : 1205 - 1227
  • [25] A review of optimization of cast parts using topology optimization - I - Topology optimization without manufacturing constraints
    Harzheim, L
    Graf, G
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2005, 30 (06) : 491 - 497
  • [26] Topology optimization subject to additive manufacturing constraints
    Moritz Ebeling-Rump
    Dietmar Hömberg
    Robert Lasarzik
    Thomas Petzold
    Journal of Mathematics in Industry, 11
  • [27] Stability constraints for geometrically nonlinear topology optimization
    Dunning, Peter D.
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2023, 66 (12)
  • [28] TOPOLOGY OPTIMIZATION OF CRACKED STRUCTURES WITH MANUFACTURING CONSTRAINTS
    Habibian, Anahita
    Sohouli, Abdolrasoul
    Suleman, Afzal
    PROCEEDINGS OF ASME 2021 INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION (IMECE2021), VOL 12, 2021,
  • [29] Topology Optimization Considering Stress and Reliability Constraints
    Zheng, Bin
    Wang, Xiao-Jun
    Ma, Tao
    Huang, Hong-Zhong
    Xu, Huanwei
    2011 INTERNATIONAL CONFERENCE ON QUALITY, RELIABILITY, RISK, MAINTENANCE, AND SAFETY ENGINEERING (ICQR2MSE), 2011, : 879 - 884
  • [30] Minimum weight with stress constraints topology optimization
    Navarrina, F
    Muiños, I
    Colominas, I
    Casteleiro, M
    COMPUTER AIDED OPTIMUM DESIGN OF STRUCTURES VIII, 2003, 13 : 187 - 200
12345