Topology optimization with closed B-splines and Boolean operations

被引:69
作者
Zhang, Weihong [1 ]
Zhao, Linying [1 ]
Gao, Tong [1 ]
Cai, Shouyu [2 ]
机构
[1] Northwestern Polytech Univ, ESAC, Sch Mech Engn, Xian 710072, Shaanxi, Peoples R China
[2] Zhengzhou Univ, Sch Mech & Engn Sci, Zhengzhou 450001, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
Closed B-splines; Boolean operations; Finite cell method; Level-set function; Topology optimization; INTEGRATED LAYOUT DESIGN; FINITE CELL METHOD; LEVEL-SET; SHAPE OPTIMIZATION; COMPONENTS; INTERPOLATION; ALGORITHM; IMPLICIT; GEOMETRY; SYSTEMS;
D O I
10.1016/j.cma.2016.11.015
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, free-form curves of closed B-splines (CBS) are introduced as basic design primitives to realize structural topology optimization in the way of shape optimization. Unlike the existing density and level-set methods, the CBS takes full advantage of its parametric form for the design deformability and flexibility with a few number of design variables, and its implicit form for Boolean operations of the structural topology accounting for any overlapping, merging and separation of different CBS no matter how geometric complexities of the CBS and the design domain are. The CBS is implemented within the computing framework of finite cell method (FCM) so that structural analysis and topology optimization can efficiently be carried out using the fixed mesh. Typical examples are tested to demonstrate the effectiveness and generality of the proposed method in dealing with engineering design problems. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:652 / 670
页数:19
相关论文
共 58 条
  • [1] Structural optimization using sensitivity analysis and a level-set method
    Allaire, G
    Jouve, F
    Toader, AM
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 194 (01) : 363 - 393
  • [2] [Anonymous], 2003, PROC 8 ACM S SOLID M, DOI DOI 10.1145/781606.781647
  • [3] Barr A. H., 1981, IEEE Computer Graphics and Applications, V1, P11, DOI 10.1109/MCG.1981.1673799
  • [4] Bendse Martin P., 1989, Struct Optim, V1, P193, DOI [DOI 10.1007/BF01650949, 10.1007/BF01650949]
  • [5] Bendse MP., 2003, Topology optimization: theory, methods, and applications, V2
  • [6] STRUCTURAL SHAPE OPTIMIZATION WITH GEOMETRIC DESCRIPTION AND ADAPTIVE MESH REFINEMENT
    BENNETT, JA
    BOTKIN, ME
    [J]. AIAA JOURNAL, 1985, 23 (03) : 458 - 464
  • [7] Stress constrained topology optimization with free-form design domains
    Cai, Shouyu
    Zhang, Weihong
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 289 : 267 - 290
  • [8] Design of multi-component structural systems for optimal layout topology and joint locations
    Chickermane, H
    Gea, HC
    [J]. ENGINEERING WITH COMPUTERS, 1997, 13 (04) : 235 - 243
  • [9] deBoor C., 1978, Applied Mathematical Sciences, Vfirst, DOI DOI 10.1007/978-1-4612-6333-3
  • [10] The finite cell method for three-dimensional problems of solid mechanics
    Duester, A.
    Parvizian, J.
    Yang, Z.
    Rank, E.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (45-48) : 3768 - 3782