On fully stressed design and p-norm measures in structural optimization

被引:39
作者
Zhou, Mingdong [1 ]
Sigmund, Ole [2 ]
机构
[1] Shanghai Jiao Tong Univ, Sch Mech Engn, Shanghai Key Lab Digital Manufacture Thin Walled, 800 DongChuan Rd, Shanghai 200240, Peoples R China
[2] Tech Univ Denmark, Dept Mech Engn, Bldg 404,Nils Koppels Alle, DK-2800 Lyngby, Denmark
关键词
Structural shape optimization; Stress minimization; Fully stressed design; p-norm constraints; TOPOLOGY OPTIMIZATION; COMBINED SHAPE;
D O I
10.1007/s00158-017-1731-3
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This brief note revisits the fully stressed design schemes and p-norm measures used in stress-based structural optimization. Two simple shape optimization cases are used to remind the reader that fully stressed designs only are optimal when unimpeded by geometrical restrictions and that high values of the stress norm are needed in order to achieve satisfactory designs.
引用
收藏
页码:731 / 736
页数:6
相关论文
共 11 条
[1]   Combined shape and topology optimization of 3D structures [J].
Christiansen, Asger Nyman ;
Baerentzen, J. Andreas ;
Nobel-Jorgensen, Morten ;
Aage, Niels ;
Sigmund, Ole .
COMPUTERS & GRAPHICS-UK, 2015, 46 :25-35
[2]   Topology optimization using an explicit interface representation [J].
Christiansen, Asger Nyman ;
Nobel-Jorgensen, Morten ;
Aage, Niels ;
Sigmund, Ole ;
Baerentzen, Jakob Andreas .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2014, 49 (03) :387-399
[3]  
Duysinx P, 1998, INT J NUMER METH ENG, V43, P1453
[4]  
Duysinx Pierre, 1998, 7 AIAA USAF NASA ISS, P4906, DOI DOI 10.2514/6.1998-4906
[5]  
ISO, 2015, 184592015 ISO
[6]   Stress-based topology optimization for continua [J].
Le, Chau ;
Norato, Julian ;
Bruns, Tyler ;
Ha, Christopher ;
Tortorelli, Daniel .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2010, 41 (04) :605-620
[7]   Combined shape and topology optimization for minimization of maximal von Mises stress [J].
Lian, Haojie ;
Christiansen, Asger N. ;
Tortorelli, Daniel A. ;
Sigmund, Ole ;
Aage, Niels .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2017, 55 (05) :1541-1557
[8]   Nonparametric gradient-less shape optimization for real-world applications [J].
Meske, R ;
Sauter, J ;
Schnack, E .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2005, 30 (03) :201-218
[9]   Topology-Adaptive Interface Tracking Using the Deformable Simplicial Complex [J].
Misztal, Marek Krzysztof ;
Baerentzen, Jakob Andreas .
ACM TRANSACTIONS ON GRAPHICS, 2012, 31 (03)
[10]   On optimal shapes in materials and structures [J].
Pedersen, P .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2000, 19 (03) :169-182