Design of structures and compliant mechanisms by evolutionary optimization of morphological representations of topology

Journal of Mechanical Design, Transactions of the ASME

Volumn 122, Issue 4, 2000, Pages 560-566

  Tai, K ^a   Chee, T H ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001111158     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1319158     Document Type: Article

References (25)

1. Bendsoe, M. P., and Kikuchi, N., 1988, “Generating Optimal Topologies in Structural Design Using a Homogenization Method,” Comput. Methods Appl. Mech. Eng., 71, pp. 197-224.
2. Yang, R. J., and Chuang, C. H., 1994, “Optimal Topology Design Using Linear Programming,” Comput. Struct., 52, pp. 265-275.
3. Atrek, E., 1989, “SHAPE: A Program for Shape Optimization of Continuum Structures,” Computer Aided Optimum Design of Structures: Applications, C. A. Brebbia and S. Hernandez, eds., Computational Mechanics Publications, Southampton, pp. 135-144.
4. Russell, D. M., and Manoochehri, S. P., 1989, “A Two Dimensional Rule-Based Shape Synthesis Method,” Advances in Design Automation-1989-Vol. 2 Design Optimization, Ravani, B., ed., New York, pp. 217-223.
5. Xie, Y. M., and Steven, G. P., 1993, “A Simple Evolutionary Procedure for Structural Optimization,” Comput. Struct., 49, pp. 885-896.
6. Eschenauer, H. A., Kobelev, V. V., and Schumacher, A., 1994, “Bubble Method for Topology and Shape Optimization of Structures,” Struct. Opt., 8, pp. 42-51.
7. Tai, K., and Fenner, R. T., 1999, “Optimum Shape and Topology Design Using the Boundary Element Method,” Int. J. Solids Struct., 36, pp. 2021-2040.
8. Kumar, A. V., and Gossard, D. C., 1996, “Synthesis of Optimal Shape and Topology of Structures,” ASME J. Mech. Des., 118, pp. 68-74.
9. Chapman, C. D., Saitou, K., and Jakiela, M. J., 1994, “Genetic Algorithms as an Approach to Configuration and Topology Design,” ASME J. Mech. Des., 116, pp. 1005-1012.
10. Chapman, C. D., and Jakiela, M. J., 1996, “Genetic Algorithm-Based Structural Topology Design with Compliance and Topology Simplification Considerations,” ASME J. Mech. Des., 118, pp. 89-98.
11. Tai, K., and Chee, T. H., 1998, “Genetic Algorithm With Structural Morphology Representation for Topology Design Optimization,” Mechanics in Design, Gentle, C. R., and Hull, J. B., eds., Nottingham Trent University, Nottingham, pp. 827-836.
12. Mortenson, M. E., 1997, Geometric Modeling, 2nd ed., Wiley, New York.
13. Goldberg, D. E., 1989, Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, Reading, MA.
14. Michalewicz, Z., 1994, Genetic Algorithms1Data Structures5Evolution Programs, 2nd ed., Springer-Verlag, Berlin.
15. Schoenauer, M., 1995, “Shape Representations for Evolutionary Optimization and Identification in Structural Mechanics,” Genetic Algorithms in Engineering and Computer Science, Winter, G., Periaux, J., Galan, M., and Cuesta, P., eds., Wiley, Chichester, pp. 443-464.
16. Her, I., and Midha, A., 1987, “A Compliance Number Concept for Compliant Mechanisms, and Type Synthesis,” ASME J. Mech., Transm., Autom. Des., 109, pp. 348-355.
17. Howell, L. L., and Midha, A., 1995, “Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms,” ASME J. Mech. Des., 117, pp. 156-165.
18. Ananthasuresh, G. K., Kota, S., and Kikuchi, N., 1994, “Strategies for Systematic Synthesis of Compliant MEMS,” Dynamic Systems and Control (Vol. 2 of 2) American Society of Mechanical Engineers, Dynamic Systems and Control Division, DSC. Vol. 55-62, Radcliffe, C. J., eds., New York, pp. 677-686.
19. Frecker, M. I., Ananthasuresh, G. K., Nishiwaki, S., Kikuchi, N., and Kota, S., 1997, “Topological Synthesis of Compliant Mechanisms Using Multi-Criteria Optimization,” ASME J. Mech. Des., 119, pp. 238-245.
20. Sigmund, O., 1997, “On the Design of Compliant Mechanisms Using Topology Optimization,” Mechanics of Structures and Machines, 25, pp. 493-524.
21. Larsen, U. D., Sigmund, O., and Bouwstra, S., 1997, “Design and Fabrication of Compliant Micromechanisms and Structures with Negative Poisson’s Ratio,” J. Microelectromech. Syst., 6, pp. 99-106.
22. Suzuki, K., and Kikuchi, N., 1991, “A Homogenization Method for Shape and Topology Optimization,” Comput. Methods Appl. Mech. Eng., 93, pp. 291-318.
23. Jog, C. S., Haber, R. B., and Bendsoe, M. P., 1994, “Topology Design With Optimized, Self-Adaptive Materials,” Int. J. Numer. Methods Eng., 37, pp. 1323-1350.
24. Kane, C., Jouve, F., and Schoenauer, M., 1995, “Structural Topology Optimization in Linear and Nonlinear Elasticity Using Genetic Algorithms,” Proceedings of the 1995 ASME Design Engineering Technical Conferences, Vol. 1 Advances in Design Automation, Azarm, S., Dutta, D., Eschenauer, H., Gilmore, B., McCarthy, M., and Yoshimura, M., eds., New York, pp. 385-392.
25. Michalewicz, Z., and Schoenauer, M., 1996, “Evolutionary Algorithms for Constrained Parameter Optimization Problems,” Evolut. Comput., 4, pp. 1-32.