Multiobjective optimization design methodology for incorporating manufacturing uncertainties in advanced composite structures

Engineering Optimization

Volumn 25, Issue 4, 1996, Pages 309-323

  Chao, Lu Ping ^a  

^a FENG CHIA UNIVERSITY   (Taiwan)

Author keywords

Composites; Compromise solution; Flexible robot arm; Fuzzy sets; Laminates; Random variables; Stochastic multiobjective optimization

Indexed keywords

ALGORITHMS; DAMPING; FINITE ELEMENT METHOD; FUZZY SETS; LAMINATED COMPOSITES; MANUFACTURE; MATHEMATICAL MODELS; PROBABILITY; RANDOM PROCESSES; ROBOTIC ARMS;

RANDOM VARIABLES; STOCHASTIC MULTIOBJECTIVE OPTIMIZATION;

OPTIMIZATION;

EID: 0029735132     PISSN: 0305215X     EISSN: None     Source Type: Journal    
DOI: 10.1080/03052159608941269     Document Type: Article

References (31)

1. Venkayya, V. B. (1978) Structural optimization: A review and some recommendations. Int. J. Numer. Methods Eng., 13, 203-208. Tsai, S. W.
2. Krishnamoorthy, C. S. and Mosi, D. R. (1979) A survey on optimal design of civil engineering structural systems. Engineering Optimization, 4, 73-88.
3. Vanderplaats, G. N. (1982) Structural optimization-Past, present and future. AIAAJ., 20, 992-1000.
4. Schultz, A. B. and Tsai, S. W. (1969) Measurement of complex dynamic moduli for laminate fiber-reinforced composite. J. of Composite Materials, 33, 434-443.
5. Rao. S. S. and Bhatti, P. K. (1989) Optimization in the design and control of robotic manipulators: A survey. Applied Mechanics Review, 42, (4), 117-128.
6. Charnes, A. and Cooper, W. W. (1959) Chance constrained programming. Man. Sci, 6, 73-79.
7. Rao, S. S. (1980) Structural optimization by chance constrained programming techniques. Computers and Structures, 12, 777-781.
8. Rao, S. S. (1981) Reliability-based optimization under random vibration environment Computers and Structures, 14, (5-6), 345-355.
9. Jozwiak, S. F. (1986) Minimum weight design of structures with random parameters. Computers and Structures, 23, (4), 481-485.
10. Belegundu, A. D. (1988) Probabilistic optimal design using second moment criteria. Transactions of the ASME, 110, 324-329.
11. Zadeh, L. A. (1965) Fuzzy sets. Information and Control, 8, 338-353.
12. Wang, G. Y. and Wang, W. Q. (1985) Fuzzy optimum design of structures. Engineering Optimization, 8, 291-300.
13. Rao, S. S. (1987) Optimum design of structures in a fuzzy environment. AJAAJ., 1633-1638.
14. Rao, S. S. (1987) Multi-objective optimization of fuzzy structural systems. Int. J. Numer. Methods Eng., 24, 1157-1171.
15. Diaz, A. (1988) Goal aggregation in design optimization. Engineering Optimization, 13, 257-273.
16. Haug, E. J., Choi, K. K. and Komkov, V. (1986) Design Sensitivity Analysis of Structural Systems. Academic Press, Orlando, FL.
17. Adelman, H. M. and Haftka, R. T. (1986) Sensitivity analysis of discrete structural systems. AIAAJ., 24, (5), 823-832.
18. Cardoso, J. B. and Arora, J. S. (1988) Variational method for design sensitivity analysis in nonlinear structural mechanics. AIAAJ., 26, (5), 595-603.
19. Haftka, R. V. and Grandhi, R. V. (1986) Structural shape optimizations-A survey. Computer Methods Appl. Mech. Eng., 57, 91-106.
20. Yang, R. J. and Botkin, M, E. (1986) Comparison between the variational and implicit differentiation approaches to shape design sensitivities. AIAAJ., 24, 1027-1032.
21. Haftka, R. T. and Malkus, D. S. (1981) Calculation of sensitivity derivatives in thermal problems by finite differences. Int. J. Numer. Methods Eng., 17, 1811-1821.
22. Haftka, R. T. (1985) Sensitivity calculations for iteratively solved problems. Int. J. Numer. Methods Eng., 21, 1535-1546.
23. Schmit, L. A. and Miura, H. (1976) A new structural analysis and synthesis capability-ACCESS 1. AIAAJ. 14, 661-671.
24. Haug, E. J. and Arora, J S. (1979) Applied Optimal Design. John Wiley & Sons Inc..
25. Vanderplaats, G. N. and Miura, H. (1986) Trends in structural optimization: Some considerations in using standard finite element software. SAE paper 860801.
26. Dubois, D. and Prade, H. (1982) Criteria aggregation and ranking of alternatives in the framework of fuzzy set theory. In H. J. Zimmermann, L. A. Zadeh and B. R. Gaines, (eds.). Fuzzy sets and Decision Analysis. Elsevier Science, Amsterdam.
27. Zimmerman, H. J. and Zysno, P. (1983) Decision and evaluations by hierarchical aggregation of information. Fuzzy Sets and Systems, 10, 243-260.
28. Dubois, D. and Prade, H. (1985) A review of fuzzy set aggregation connectivities. Information Sciences, 36, 85-121.
29. Lin, P. X., Ni, R. G. and Adams, R. D. (1984) Prediction and measurement of the vibrational damping parameters of carbon and glass fiber-reinforced plastics Plates. J. of Composite Materials, 18, 132-152.
30. Ni R. G. and Adams, R. D. (1984) A rational method for obtaining the dynamic mechanical properties of lamina for predicting the stiffness and damping of laminated plates and beams. Composites, 3, 193-199.
31. Meirovitch, L. (1967) Analytical Methods in Vibrations, Macmillan, New York.