Robust design of structures using convex models

Computers and Structures

Volumn 81, Issue 28-29, 2003, Pages 2611-2619

  Au, F T K ^a   Cheng, Y S ^b   Tham, L G ^a   Zeng, G W ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Convex model; Robust design; Robust reliability; Unsatisfactory degree function

Indexed keywords

COMPUTATIONAL METHODS; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS);

CONVEX MODELS;

STRUCTURAL DESIGN;

EID: 0142075231     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(03)00322-5     Document Type: Article

References (31)

1. Taguchi G. Introduction to quality engineering. 1986;Asian Productivity Organization, Tokyo.
2. Phadke M.S. Quality engineering using robust design. 1989;PTR Prentice-Hall, Englewood Cliffs, New Jersey.
3. Parkinson A., Sorensen C., Pourhassan N. A general approach for robust optimal design. J. Mech. Des. 115(1):1993;74-80.
4. Belegundu A.D., Zhang S.H. Robustness of design through minimum sensitivity. J. Mech. Des. 114(2):1992;213-217.
5. Rao R.R., Sundararaju K., Balakrishna C., Prakash B.G. Multiobjective insensitive design of structures. Comput. Struct. 45(2):1992;349-359.
6. Jung D.H., Lee B.C. Development of a simple and efficient method for robust optimization. Int. J. Numer. Methods Eng. 53(9):2002;2201-2215.
7. Parkinson D.B. Robust design by variability optimisation. Qual. Reliab. Eng. Int. 13(2):1997;97-102.
8. Parkinson D.B. The application of a robust design method to tolerancing. J. Mech. Des. 122(2):2000;149-154.
9. Chen W., Allen J.K., Tsui K.L., Mistree F. A procedure for robust design: minimizing variations caused by noise factors and control factors. J. Mech. Des. 118(4):1996;479-485.
10. Su J., Renaud E. Automatic differentiation in robust optimization. AIAA J. 35(6):1997;1072-1079.
11. Du X.P., Chen W. Towards a better understanding of modeling feasibility robustness in engineering design. J. Mech. Des. 122(4):2000;385-394.
12. Lee K.H., Park G.J. Robust optimisation considering tolerances of design variables. Comput. Struct. 79(1):2001;77-86.
13. Chen W., Sahai A., Messac A., Sundararaj G.J. Exploration of the effectiveness of physical programming in robust design. J. Mech. Des. 122(2):2000;155-163.
14. Messac A., Ismail-Yahaya A. Multiobjective robust design using physical programming. Struct. Multidiscip. Opt. 23(5):2002;357-371.
15. Emch G., Parkinson A. Robust optimal design for worst-case tolerances. J. Mech. Des. 116(4):1994;1019-1025.
16. Du X.P., Chen W. Efficient uncertainty analysis methods for multidisciplinary robust design. AIAA J. 40(3):2002;545-552.
17. Sandgren E., Cameron T.M. Robust design optimization of structures through consideration of variation. Comput. Struct. 80(20-21):2002;1605-1613.
18. Messac A. Physical programming: effective optimization for computational design. AIAA J. 34(1):1996;149-158.
19. Ben-Haim Y., Elishakoff I. Convex models of uncertainty in applied mechanics. 1990;Elsevier Science Publishers, Amsterdam.
20. Ben-Haim Y. A non-probabilistic concept of reliability. Struct. Saf. 14(4):1994;227-245.
21. Elishakoff I. Essay on uncertainties in elastic and viscoelastic structures: from A.M. Freudernthal's criticisms to modern convex modelling. Comput. Struct. 56(6):1995;871-895.
22. Ben-Haim Y., Chen G., Soong S.S. Maximum structural response using convex models. J. Eng. Mech. 122(4):1996;325-333.
23. Ben-Haim Y. Robust reliability in the mechanical sciences. 1996;Springer-Verlag, Berlin.
24. Ben-Haim Y. Robust reliability of structures. Adv. Appl. Mech. 33:1997;1-41.
25. Ben-Haim Y. Reliability of vibrating structures with uncertainty inputs. Shock Vib. Dig. 30(2):1998;106-113.
26. Ben-Haim Y., Fryba L., Yoshikawa N. Robust reliability of dynamically loaded beam on an uncertain foundation. Kumar B., Topping B.H.V. Computing developments in civil and structural engineering. 1999;71-75 Civil-Comp Press, Edinburgh.
27. Lombardi M. Optimization of uncertain structures using non-probabilistic models. Comput. Struct. 67(1-3):1998;99-103.
28. Elishakoff I., Haftka R.T., Fang J. Structural design under bounded uncertainty-optimization with anti-optimization. Comput. Struct. 53(6):1994;1401-1405.
29. Yu J., Zhou J. Optimization programming OPB-1: Theory and applications (in Chinese). 1989;Mechanical Industry Press, Beijing, PR China.
30. Powell M.J.D. Algorithms for nonlinear constraints that use Lagrangian functions. Math. Program. 14:1978;224-248.
31. Ganzerli S., Pantelides C.P. Optimum structural design via convex model superposition. Comput. Struct. 74(6):2000;639-647.