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1

A critical review of established methods of structural topology optimization

G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

2009

Language:

english

File:

PDF, 474 KB

english, 2009

2

Optimal layout of long-span truss-grids—I

George I.N. Rozvany, Yep Kong Min, Roman Sandler

Journal:

International Journal of Solids and Structures

Year:

1986

Language:

english

File:

PDF, 964 KB

english, 1986

3

Plastic design of beams: Optimal locations of supports and steps in yield moment

W. Prager, G.I.N. Rozvany

Journal:

International Journal of Mechanical Sciences

Year:

1975

Language:

english

File:

PDF, 407 KB

english, 1975

4

Layout Optimization of Structures

Rozvany, G. I. N., Bendso̸e, M. P., Kirsch, U.

Journal:

Applied Mechanics Reviews

Year:

1995

Language:

english

File:

PDF, 12.08 MB

english, 1995

5

Optimal layout of long-span truss-grids—II

Yep Kong Min, Roman Sandler, George I.N. Rozvany

Journal:

International Journal of Solids and Structures

Year:

1986

Language:

english

File:

PDF, 712 KB

english, 1986

6

Optimal load transmission by flexure

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1972

Language:

english

File:

PDF, 678 KB

english, 1972

7

The Dual of Foulkes and Prager‐Shield Criteria

Rozvany, George I. N.

Journal:

Journal of Engineering Mechanics

Year:

1984

Language:

english

File:

PDF, 380 KB

english, 1984

8

FRONTIERS OF STRUCTURAL OPTIMIZATION

Rozvany, G. I.N.

Journal:

Architectural Science Review

Year:

1978

Language:

english

File:

PDF, 905 KB

english, 1978

9

Optimization of Large Structural Systems || The Method of Moving Asymptotes (MMA) with Some Extensions

Rozvany, G. I. N.

Year:

1993

Language:

english

File:

PDF, 900 KB

english, 1993

10

Concave programming and piece-wise linear programming

G. I. N. Rozvany

Journal:

International Journal for Numerical Methods in Engineering

Year:

1971

Language:

english

File:

PDF, 659 KB

english, 1971

11

Optimal beam layouts: Allowance for cost of shear

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1979

Language:

english

File:

PDF, 659 KB

english, 1979

12

Minimum cost design of reinforced concrete beams using continuum-type optimality criteria

A. Adamu, B. L. Karihaloo, G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

1994

Language:

english

File:

PDF, 958 KB

english, 1994

13

Optimal layout theory: Analytical solutions for elastic structures with several deflection constraints and load conditions

G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

1992

Language:

english

File:

PDF, 252 KB

english, 1992

14

DCOC: An optimality criteria method for large systems Part II: Algorithm

M. Zhou, G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

1993

Language:

english

File:

PDF, 1.09 MB

english, 1993

15

Analytical and numerical solutions for a reliability-based benchmark example

George I. N. Rozvany, Kurt Maute

Journal:

Structural and Multidisciplinary Optimization

Year:

2011

Language:

english

File:

PDF, 627 KB

english, 2011

16

On the validity of ESO type methods in topology optimization

M. Zhou, G.I.N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

2001

Language:

english

File:

PDF, 108 KB

english, 2001

17

A new class of structural optimization problems: Optimal archgrids

G.I.N. Rozvany, W. Prager

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1979

Language:

english

File:

PDF, 1.23 MB

english, 1979

18

A theorem on the limit analysis of plates and shells

Journal:

International Journal of Mechanical Sciences

Year:

1970

Language:

english

File:

PDF, 325 KB

english, 1970

19

Comment on: On the theory of optimal, constant thickness, fibre-reinforced plates: P. G. Lowe andR. E. Melchers,Int. J. mech. Sci.14, 311 (1972)

Journal:

International Journal of Mechanical Sciences

Year:

1973

Language:

english

File:

PDF, 186 KB

english, 1973

20

Comments on: On the theory of optimal, constant thickness fibre-reinforced plates—II: P.G. Lowe and R. E. Melchers, Int. J. mech. Sci. 15, 157 (1973)

Journal:

International Journal of Mechanical Sciences

Year:

1974

Language:

english

File:

PDF, 233 KB

english, 1974

21

Generalisations of Heyman's and Foulkes' theorems using dual formulation

Journal:

International Journal of Mechanical Sciences

Year:

1985

Language:

english

File:

PDF, 823 KB

english, 1985

22

Foundations of structural optimization: A unified approach: A.J. Morris, ed. (Wiley, Chichester, 1982), ISBN 0 471102008

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1985

Language:

english

File:

PDF, 502 KB

english, 1985

23

Prager's layout theory: a nonnumeric computer method for generating optimal structural configurations and weight-influence surfaces

R.D. Hill, G.I.N. Rozvany

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1985

Language:

english

File:

PDF, 1.51 MB

english, 1985

24

The COC algorithm, Part II: Topological, geometrical and generalized shape optimization

M. Zhou, G.I.N. Rozvany

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1991

Language:

english

File:

PDF, 3.04 MB

english, 1991

25

Topology optimization of multi-purpose structures

G. I. N. Rozvany

Journal:

Mathematical Methods of Operations Research

Year:

1998

Language:

english

File:

PDF, 1.12 MB

english, 1998

26

Exact analytical solutions for some popular benchmark problems in topology optimization

G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

1998

Language:

english

File:

PDF, 521 KB

english, 1998

27

Some unexpected properties of exact least-weight plane truss layouts with displacement constraints for several alternate loads

G. I. N. Rozvany, T. Birker, T. Lewiński

Journal:

Structural and Multidisciplinary Optimization

Year:

1994

Language:

english

File:

PDF, 843 KB

english, 1994

28

Exact least-weight truss layouts for rectangular domains with various support conditions

T. Lewiński, M. Zhou, G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

1993

Language:

english

File:

PDF, 324 KB

english, 1993

29

Why multi-load topology designs based on orthogonal microstructures are in general non-optimal

G. I. N. Rozvany, M. Zhou, T. Birker

Journal:

Structural and Multidisciplinary Optimization

Year:

1993

Language:

english

File:

PDF, 448 KB

english, 1993

30

DCOC: An optimality criteria method for large systems Part I: theory

M. Zhou, G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

1992

Language:

english

File:

PDF, 1.26 MB

english, 1992

31

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

T. Lewiński, G. I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

2007

Language:

english

File:

PDF, 574 KB

english, 2007

32

Exact truss topology optimization: allowance for support costs and different permissible stresses in tension and compression—extensions of a classical solution by Michell

George I. N. Rozvany, Tomasz Sokół

Journal:

Structural and Multidisciplinary Optimization

Year:

2012

Language:

english

File:

PDF, 390 KB

english, 2012

33

Topology optimization in structural mechanics

Journal:

Structural and Multidisciplinary Optimization

Year:

2001

Language:

english

File:

PDF, 40 KB

english, 2001

34

Optimal plastic design: Superposition principles and bounds on the minimum cost

G.I.N. Rozvany, R.D. Hill

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1978

Language:

english

File:

PDF, 1.27 MB

english, 1978

35

General Theory of Optimal Layouts for Elastic Structures

Rozvany, George I. N., Guan, Ong Tiong

Journal:

Journal of Engineering Mechanics

Year:

1986

Language:

english

File:

PDF, 376 KB

english, 1986

36

New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports

Tomasz Sokół, George I. N. Rozvany

Journal:

Structural and Multidisciplinary Optimization

Year:

2012

Language:

english

File:

PDF, 549 KB

english, 2012

37

Structural Optimization || Optimal Shape of Cable Structures

Rozvany, G. I. N., Karihaloo, B. L.

Year:

1988

Language:

english

File:

PDF, 946 KB

english, 1988

38

Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited

T. Lewiński, G. I. N. Rozvany, T. Sokół…

Journal:

Structural and Multidisciplinary Optimization

Year:

2013

Language:

english

File:

PDF, 1.32 MB

english, 2013

39

[American Institute of Aeronautics and Astronautics 8th Symposium on Multidisciplinary Analysis and Optimization - Long Beach,CA,U.S.A. (06 September 2000 - 08 September 2000)] 8th Symposium on Multidisciplinary Analysis and Optimization - The SIMP method in topology optimization - Theoretical background, advantages and new applications

Rozvany, George

Year:

2000

Language:

english

File:

PDF, 1005 KB

english, 2000

40

[American Institute of Aeronautics and Astronautics 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference - Portsmouth, Virginia ()] 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference - Quality Control in Topology Optimization Using Analytically Derived Benchmarks

Rozvany, George, Lewinski, Tomasz, Querin, Osvaldo, Logo, Janos

Year:

2006

Language:

english

File:

PDF, 368 KB

english, 2006

41

[American Institute of Aeronautics and Astronautics 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference - Victoria, British Columbia, Canada ()] 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference - Analytical Benchmarks in Topology Optimization - Including Probabilistic Design

Rozvany, George

Year:

2008

Language:

english

File:

PDF, 494 KB

english, 2008

42

Exact truss topology optimization for external loads and friction forces

Sokół, Tomasz, Rozvany, George I. N.

Journal:

Structural and Multidisciplinary Optimization

Year:

2013

Language:

english

File:

PDF, 1.03 MB

english, 2013

43

Exact compliance-based multi-load truss topology optimization revisited – also background material for an Authors’ Reply to a Discussion by Logo

Rozvany, George, Pomezanski, Vanda, Sokół, Tomasz

Journal:

Structural and Multidisciplinary Optimization

Year:

2014

Language:

english

File:

PDF, 1.92 MB

english, 2014

44

On the Solid Plate Paradox in Structural Optimization∗

Rozvany, George I. N., Olhoff, Niels, Cheng, Keng-Tung, Taylor, John E.

Journal:

Journal of Structural Mechanics

Year:

1982

Language:

english

File:

PDF, 444 KB

english, 1982

45

A Unified Theory of Optimal Moment Fields

Rozvany, G. I. N.

Journal:

Journal of Structural Mechanics

Year:

1974

Language:

english

File:

PDF, 239 KB

english, 1974

46

On the Masur Paradox∗

Rozvany, G. I. N., Rotthaus, M., Spengemann, F., Gollub, W., Zhou, M., Lawo, M., Goh, C. J., Wang, C. M.

Journal:

Mechanics of Structures and Machines

Year:

1990

Language:

english

File:

PDF, 512 KB

english, 1990

47

Fundamentals of exact multi-load topology optimization – stress-based least-volume trusses (generalized Michell structures) – Part I: Plastic design

N. Rozvany, George I., Sokół, Tomasz, Pomezanski, Vanda

Journal:

Structural and Multidisciplinary Optimization

Year:

2014

Language:

english

File:

PDF, 3.49 MB

english, 2014

48

Optimization of Large Structural Systems || Analysis and Design of Elastic/Softening Truss Structures Based on a Mixed-Form Extremum Principle

Rozvany, G. I. N.

Year:

1993

Language:

english

File:

PDF, 1.01 MB

english, 1993

49

Optimization of Large Structural Systems || Applications to Car Bodies :Generalized Layout Design of Three-Dimensional Shells

Rozvany, G. I. N.

Year:

1993

Language:

english

File:

PDF, 1.37 MB

english, 1993

50

Optimization of Large Structural Systems || Optimal Orientation of Orthotropic Properties for Continuum Bodies and Structural Elements

Rozvany, G. I. N.

Year:

1993

Language:

english

File:

PDF, 1.90 MB

english, 1993

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