Topology optimization in structural mechanics

Bulletin of the Polish Academy of Sciences. Technical Sciences

S. CzarneckiDepartment of Structural Mechanics and Computer Aided Engineering, Institute of Building Engineering, Faculty of Civil Engineering, Warsaw University of Technology, 16 Armii Ludowej St., 00-637 Warszawa, PolandOther articles by this author:De Gruyter OnlineGoogle Scholar¹  G. Dzier?anowskiDepartment of Structural Mechanics and Computer Aided Engineering, Institute of Building Engineering, Faculty of Civil Engineering, Warsaw University of Technology, 16 Armii Ludowej St., 00-637 Warszawa, PolandOther articles by this author:De Gruyter OnlineGoogle Scholar¹  T. Sokó?Department of Structural Mechanics and Computer Aided Engineering, Institute of Building Engineering, Faculty of Civil Engineering, Warsaw University of Technology, 16 Armii Ludowej St., 00-637 Warszawa, PolandOther articles by this author:De Gruyter OnlineGoogle Scholar¹  T. Lewi?skiCorresponding authorDepartment of Structural Mechanics and Computer Aided Engineering, Institute of Building Engineering, Faculty of Civil Engineering, Warsaw University of Technology, 16 Armii Ludowej St., 00-637 Warszawa, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] Department of Structural Mechanics and Computer Aided Engineering, Institute of Building Engineering, Faculty of Civil Engineering, Warsaw University of Technology, 16 Armii Ludowej St., 00-637 Warszawa, Poland

关键词: Keywords : structural optimization;    topology optimization;    free material design;    anisotropic elasticity;    compliance minimization;    minimum weight design;    funicular structures;    optimal design of frames;   

DOI  :  10.2478/bpasts-2013-0002

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

Optimization of structural topology, called briefly: topology optimization, is a relatively new branch of structural optimization. Its aim is to create optimal structures, instead of correcting the dimensions or changing the shapes of initial designs. For being able to create the structure, one should have a possibility to handle the members of zero stiffness or admit the material of singular constitutive properties, i.e. void. In the present paper, four fundamental problems of topology optimization are discussed: Michell’s structures, two-material layout problem in light of the relaxation by homogenization theory, optimal shape design and the free material design. Their features are disclosed by presenting results for selected problems concerning the same feasible domain, boundary conditions and applied loading. This discussion provides a short introduction into current topics of topology optimization

【 授权许可】

Unknown