An element removal and reintroduction strategy for the topology optimization of structures and compliant mechanisms

International Journal for Numerical Methods in Engineering

Volumn 57, Issue 10, 2003, Pages 1413-1430

  Bruns, T E ^a   Tortorelli, D A ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Compliant mechanisms; Low density element; Structural design; Topology optimization

Indexed keywords

FINITE ELEMENT METHOD; NONLINEAR PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING; STIFFNESS;

TOPOLOGY OPTIMIZATION;

STRUCTURAL ANALYSIS;

LOADING; OPTIMIZATION; STRUCTURE;

ENGINEERING; LOADING; OPTIMIZATION;

EID: 0041339887     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.783     Document Type: Article

References (15)

1. Bendsøe MP. Optimization of Structural Topology, Shape, and Material. Springer-Verlag: New York, 1995.
2. Bruns TE, Tortorelli DA. Topology optimization of nonlinear elastic structures and compliant mechanisms. Computer Methods in Applied Mechanics and Engineering 2001; 190(26-27):3443-3459.
3. Bourdin B. Filters in topology optimization. International Journal for Numerical Methods in Engineering 2001; 50(9):2143 - 2158.
4. Svanberg K. Method of moving asymptotes A new method for structural optimization. International Journal for Numerical Methods in Engineering 1987; 24(2):359 373.
5. Sigmund O. On the design of compliant mechanisms using topology optimization. Mechanics of Structures and Machines 1997; 25(4):493-524.
6. Borrvall T, Petersson J. Topology optimization using regularized intermediate density control. Computer Methods in Applied Mechanics and Engineering 2001; 190(37 38):4911-4928.
7. Duysinx P, Bendsøe MP. Topology optimization of continuum structures with local stress constraints. International Journal for Numerical Methods in Engineering 1998; 43(8):1453-1478.
8. Bruns TE, Tortorelli DA. Topology synthesis of geometrically nonlinear structures and compliant mechanisms. Proceedings of the 7th AIAA USAF NASA ISSMO Symposium on Multidisciplinary Analysis and Optimization 1998; AIAA-98-4950:1874 1882.
9. Buhl T, Pedersen CBW, Sigmund O. Stiffness design of geometrically nonlinear structures using topology optimization. Structural and Multidisciplinary Optimization 2000; 19(2):93-104.
10. Querin OM, Steven GP, Xie YM. Evolutionary structural optimisation (ESO) using a bidirectional algorithm. Engineering Computations 1998; 15(8):1031-1048.
11. Reynolds D, McConnachie J, Bettess P, Christie WC, Bull JW. Reverse adaptivity-A new evolutionary tool for structural optimization. International Journal for Numerical Methods in Engineering 1999; 45(5):529 552.
12. Liu JS, Parks GT, Clarkson PJ. Metamorphic development: a new topology optimization method for continuum structures. Structural and Multidisciplinary Optimization 2000; 20(4):288-300.
13. Zhou M, Rozvany GIN. On the validity of ESO type methods in topology optimization. Structural and Multidisciplinary Optimization 2001; 21(1):80 83.
14. Murio DA. The Mollification Method and the Numerical Solution of III-posed Problems. Wiley: New York, 1993.
15. Gibbs NE, Poole Jr WG, Stockmeyer PK. An algorithm for reducing the bandwidth and profile of a sparse matrix. SIAM Journal on Numerical Analysis 1976; 13:236 250.