Reliability-based design optimization of cantilever beams under fatigue constraint

AIAA Journal

Volumn 45, Issue 11, 2007, Pages 2737-2746

  Honarmandi, Peyman ^a,c,d   Zu, Jean W ^a,c   Behdinan, Kamran ^b,c,d  

^a UNIVERSITY OF TORONTO   (Canada)

^b RYERSON UNIVERSITY   (Canada)

^c Department of Mechanical and Industrial Engineering ^*  (Canada)

^d AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OBJECTIVE FUNCTIONS; QUADRATIC OPTIMIZATION;

CONSTRAINED OPTIMIZATION; FATIGUE OF MATERIALS; GEOMETRY; MATHEMATICAL MODELS; PROBABILITY; RELIABILITY ANALYSIS; STRESS ANALYSIS;

CANTILEVER BEAMS;

EID: 36749031730     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.24807     Document Type: Article

References (28)

1. Mattheck, C., and Baumgartner, A., "CAO and SKO: Fatigue Resistant Engineering Design by Simulation of Biological Optimization Mechanisms," Experimental Mechanics, Proceedings of the International Conference, Elsevier, New York, 1992, pp. 103-108.
2. Coe, H., and Coy, J. J., "Maximum Life Spur Gear Design," Journal of Propulsion and Power, Vol. 8, No. 6, Nov.-Dec. 1992, pp. 1273-1281.
3. Heller, M., and Macdonald, M., "Shape Optimization of Critical Stiffeners Runouts for F-111 Airframe Life Extension," Fatigue and Fracture of Engineering Materials and Structures, Vol. 25, No. 2, 2002, pp. 151-172. doi:10.1046/j.8756-758x.2001.00.x
4. Fanni, M., Schnack, E., and Grunwald, J., "Lifetime Maximization Through Shape Optimization of Dynamically Loaded Machine Parts," International Journal for Engineering Analysis and Design, Vol. 1, 1994, pp. 25-41.
5. Chen, C. J., and Usman, M., "Design Optimization of Automotive Applications," International Journal of Vehicle Design, Vol. 25, 2001, pp. 126-141. doi:10.1504/IJVD.2001.001912
6. Schnack, E., and Weikl, W., "Shape Optimization Under Fatigue Using Continuum Damage Mechanics," Computer Aided Design, Vol. 34, 2002, pp. 929-938. doi:10.1016/S0010-4485(01)00147-6
7. El-Sayed, M. E., and Lund, E. H., "An Efficient Approach for Considering Durability Schedules in Structural Optimization of Vehicle," Society of Automotive Engineers Paper 940252, 1994.
8. Chang, K. H., Yu, X., and Choi, K. K., "Shape Design Sensitivity Analysis and Optimization for Structural Durability," International Journal for Numerical Methods in Engineering, Vol. 40, 1997, pp. 1719-1743. doi: 10.1002/(SICI)1097-0207(19970515)40:9<1719::AID-NME139>3.0.CO;2-O
9. Satchi, V., and Haftka, R. T., "Structural Optimization: What Has Moore's Law Done for Us?," 43rd AIAA/ASME/ASCE Structures, Structural Dynamics and Materials Conference, AIAA 2002-1342, 2002.
10. Nikolaidis, E., and Burdisso, R., "Reliability-Based Optimization: A Safety Index Approach," Computers and Structures, Vol. 28, No. 6, 1988, pp. 781-788. doi:10.1016/0045-7949(88)90418-X
11. Lee, T. W., and Kwak, B. M., "A Reliability-Based Optimal Design Using Advanced First-Order Second-Moment Method," Mechanics Based Design of Structures and Machines, Vol. 15, No. 4, 1987, pp. 523-542. doi: 10.1080/08905458708905132
12. Wu, Y. T., and Millwater, H. R., "Advance Probabilistic Analysis Method for Implicit Performance Function," AIAA Journal, Vol. 28, No. 9, Sept. 1990, pp. 1663-1669.
13. Tu, J., Choi, K., and Park, Y. H., "A New Study on Reliability-Based Design Optimization," Journal of Mechanical Design, Vol. 121, No. 4, 1999, pp. 557-564.
14. Youn, B. D., Choi, K. K., and Park, Y. H., "Hybrid Analysis Method for Reliability-Based Design Optimization," Journal of Mechanical Design, Vol. 125, No. 2, 2003, pp. 221-232. doi:10.1115/1.1561042
15. Youn, B. D., and Choi, K. K., "Selecting Probabilistic Approaches for Reliability-Based Design Optimization," AIAA Journal, Vol. 42, No. 1, Jan. 2004, pp. 124-131.
16. Du, X., and Sudjanto, A., "First Order Saddlepoint Approximation for Reliability Analysis," AIAA Journal, Vol. 42, No. 6, 2004, pp. 1199-1207.
17. Hasofer, A. M., and Lind, N. C., "Exact and Invariant Second Moment Code Format," Journal of the Engineering Mechanics Division, American Society of Civil Engineers, Vol. 100, No. 1, Feb. 1974, pp. 111-121.
18. Vanderplaats, G., Numerical Optimization Techniques for Engineering Design, 3rd ed., Vanderplaats Research and Development, Colorado Springs, CO, 2001.
19. Rao, S. S., Engineering Optimization Theory and Practice, 3rd ed., Wiley, New York, 1997.
20. Rackwitz, R., and Fiessler, B., "Structural Reliability Under Combined Random Load Sequence," Computers and Structures, Vol. 9, 1978, pp. 489-494. doi: 10.1016/0045-7949(78)90046-9
21. Hohenbichler, M., and Rackwitz, R., "Nonnormal Dependent Vectors in Structural Reliability," Journal of the Engineering Mechanics Division, American Society of Civil Engineers, Vol. 107, No. 6, Dec. 1981, pp. 1227-1238.
22. Wang, L. P., and Grandhi, R. V., "Safety Index Calculation Using Intervening Variables for Structural Reliability," Computers and Structures, Vol. 59, No. 6, 1996, pp. 1139-1148. doi:10.1016/0045-7949(96) 00291-X
23. Honarmandi, P., Zu, J. W., and Behdinan, K., "Elasto-Plastic Fatigue Life Improvement of Bolted Joints and Introducing FBI Method," Mechanics Based Design of Structures and Machines, Vol. 33, Nos. 3-4, 2005, pp. 311-330. doi:10.1080/15367730500374381
24. Stephens, R. I., Fatemi, A., and Fuchs, O. H., Metal Fatigue in Engineering, 2nd ed., Wiley, New York, 2001.
25. Neuber, H., "Theory of Stress Concentration for Shear Strained Prismatic Bodies with Arbitrary Nonlinear Stress-Strain Law," Journal of Applied Mechanics, Vol. 28, 1961, pp. 544-550.
26. Lynn, A. K., and DuQuesnay, D. L., "Computer Simulation of Variable Amplitude Fatigue Crack Initiation Behavior Using a New Strain-Based Cumulative Damage Model," International Journal of Fatigue, Vol. 24, 2002, pp. 977-986. doi:10.1016/S0142-1123(02)00007-5
27. Roessle, M. L., and Fatemi, A., "Strain-Controlled Fatigue Properties of Steels and Some Simple Approximations," International Journal of Fatigue, Vol. 22, 2000, pp. 495-511. doi:10.1016/S0142-1123(00) 00026-8
28. Material Standard "BS7608," nCode International - FATIMAS Material Database, http://www.ncode.com/.