Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports

被引：0

作者：

T. Lewiński

G. I. N. Rozvany

机构：

[1] Warsaw University of Technology,Faculty of Civil Engineering, Institute of Structural Mechanics

[2] Research Group: Computational Structural Mechanics,Hungarian Academy of Sciences and Budapest University of Technology and Economics

来源：

Structural and Multidisciplinary Optimization | 2007年 / 33卷

关键词：

Least-weight trusses; Michell trusses; Stress-controlled trusses; Line supports; Benchmark problems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In an earlier paper (Rozvany, Struct Optim 15:42–48, 1998), the second author summarized known analytical solutions for some popular benchmark problems in topology optimization. In this, and in some subsequent papers, further exact optimal topologies are derived for least-weight, stress-controlled trusses, with load and support conditions that are frequently used in benchmark examples for numerical methods in topology optimization.

引用

页码：337 / 349

页数：12

共 11 条

[1] Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports
Lewinski, T.
Rozvany, G. I. N.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2007, 33 (4-5) : 337 - 349
[2] Exact analytical solutions for some popular benchmark problems in topology optimization
G. I. N. Rozvany
Structural optimization, 1998, 15 : 42 - 48
[3] Exact analytical solutions for some popular benchmark problems in topology optimisation
Rozvany, GIN
STRUCTURAL OPTIMIZATION, 1998, 15 (01) : 42 - 48
[4] Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains
T. Lewiński
G. I. N. Rozvany
Structural and Multidisciplinary Optimization, 2008, 35 : 165 - 174
[5] Exact analytical solutions for some popular benchmark problems in topology optimization III:: L-shaped domains
Lewinski, T.
Rozvany, G. I. N.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2008, 35 (02) : 165 - 174
[6] Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited
Lewinski, T.
Rozvany, G. I. N.
Sokol, T.
Bolbotowski, K.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2013, 47 (06) : 937 - 942
[7] Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited
T. Lewiński
G. I. N. Rozvany
T. Sokół
K. Bołbotowski
Structural and Multidisciplinary Optimization, 2013, 47 : 937 - 942
[8] Globally optimal benchmark solutions to some small-scale discretized continuum topology optimization problems
Mats Werme
Structural and Multidisciplinary Optimization, 2006, 32 : 259 - 262
[9] Globally optimal benchmark solutions to some small-scale discretized continuum topology optimization problems
Werme, Mats
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2006, 32 (03) : 259 - 262
[10] Exact analytical solutions for non-selfadjoint variable-topology shape optimization problems: Perforated cantilever plates in plane stress subject to displacement constraints .1.
Karolyi, G
Rozvany, GIN
STRUCTURAL OPTIMIZATION, 1997, 13 (2-3) : 119 - 127

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