Investigation on the validity of topology optimisation methods

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 7, Issue , 2006, Pages 4767-4781

  Edwards, Caroline S ^a,b,c   Kim, Hyunsun A ^a,b,c   Budd, Chris J ^a,b  

^a UNIVERSITY OF BATH   (United Kingdom)

^b Department of Mechanical Engineering ^*

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; NUMERICAL METHODS; PROBLEM SOLVING; STRESS ANALYSIS;

DISCRETE TOPOLOGY OPTIMISATION METHOD; EVOLUTIONARY STRUCTURAL OPTIMISATION (ESO); POTENTIAL INSTABILITIES; REDUNDANT MATERIALS; VON MISES STRESS;

TOPOLOGY;

EID: 34147219766     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-1984     Document Type: Conference Paper

References (15)

1. Sigmund, O. and Petersson, J., "Numerical Instabilities in Topology Optimization: A Survey on Procedures Dealing with Checkerboards, Mesh-dependencies and Local Minima," Struct. Optim, Vol. 16, 1998, pp. 68-75.
2. Bendsøe, M. P., "Optimal Shape Design as a Material Distribution Problem," Struct. Optim., Vol. 1, 1989, pp. 193-202.
3. Rozvany, G. I. N., Zhou, M., and Birker, T., "Generalized Shape Optimisation Without Homogenisation," Struct. Optim, Vol. 4, 1992, pp. 250-254.
4. Bendsøe, M. P. and Sigmund, O., Topology Optimization: Theory, Methods and Applications, Springer, Berlin Heidelberg New York, 2003.
5. Xie, Y. M. and Steven, G. P., "A Simple Evolutionary Procedure for Structural Optimisation," Computer and Structures, Vol. 49, 1993, pp. 885-896.
6. Xie, Y. M. and Steven, G. P., Evolutionary Structural Optimization, Springer, Berlin Heidelberg New York, 1997.
7. Querin, O. M., Structural Optimisation: Stress Based Formulation and Implementation, Ph.D. thesis, University of Sydney, 1997.
8. Zhou, M. and Rozvany, G. I. N., "On the Validity of ESO Type Methods in Topology Optimization," Struct Multidisc Optim, Vol. 21, 2001, pp. 80-83.
9. Sigmund, O., "A 99 Line Topology Optimization Code Written in Matlab," Struc Multidisc Optim, Vol. 21, 2001, pp. 120-127.
10. Svanberg, K., "The Method of Moving Asymptotes-A New Method for Structural Optimization," Int J Num Meth Eng, Vol. 24, 1987, pp. 359-373.
11. "MATLAB 7.0," The Math Works, Inc., Natick, Massachusetts, 2004.
12. Kim, H., Querin, O. M., Steven, G. P., and Xie, Y. M., "A Method for Varying the Number of Cavities in an Optimized Topology Using Evolutionary Structural Optimization," Struct. Multidisc. Optim, Vol. 19, 2000, pp. 140-147.
13. Jog, C. S. and Haber, R. B., "Stability of Finite Element Models for Distributed-Parameter Optimization and Topology Design," Comput Methods Appl Mech Engrg, Vol. 130, 1996, pp. 203-226.
14. Sigmund, O., Design of Material Structures Using Topology Optimization, Ph.D. thesis, Technical University of Denmark, 1994.
15. Bendsøe, M. P. and Sigmund, O., "Material Interpolation Schemes in Topology Optimization Schemes," Arch Appl Mech, Vol. 69, 1999, pp. 635-654.