Interval-based multi-objective optimization of aircraft wings under gust loads

AIAA Journal

Volumn 47, Issue 3, 2009, Pages 563-575

  Majumder, Luna ^a,b,c   Rao, S S ^a,b  

^a UNIVERSITY OF MIAMI   (United States)

^b Department of Mechanical and Aerospace Engineering ^*

^c Permasteelisa North America Corporation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE RESPONSE; AIRCRAFT WINGS; AIRPLANE WINGS; DESIGN PARAMETERS; DESIGN VARIABLES; FINITE-ELEMENT ANALYSIS; INTERVAL PARAMETERS; MULTI-OBJECTIVE OPTIMIZATIONS; OPTIMUM SOLUTIONS; PROGRAMMING TECHNIQUES; RESPONSE PARAMETERS; TRUNCATION PROCEDURES; TYPE ANALYSIS; UNCERTAIN PARAMETERS;

AIRCRAFT; ATMOSPHERIC TURBULENCE; GAME THEORY; MULTIOBJECTIVE OPTIMIZATION; NONLINEAR PROGRAMMING; PROBABILITY DISTRIBUTIONS; STRUCTURAL OPTIMIZATION; UNCERTAINTY ANALYSIS;

WINGS;

EID: 62149140160     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.37224     Document Type: Article

References (28)

1. Kuhn, H. W., and Tucker, A. W., "Nonlinear Programming," Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, edited by J. Neyman, J., Univ. of California, Berkeley, CA, 1951, pp. 481-491.
2. Rao, S. S., Pan, T. S., and Venkayya, V.B., "RobustnessImprovement of Actively Controlled Structures Through Structural Modifications," AIAA Journal, Vol. 28, No. 2, 1990, pp. 353-361. doi:10.2514/3.10396
3. Rao, S. S., Venkayya, V. B., and Khot, N. S., "Game Theory Approach for the Integrated Design of Structures and Controls," AIAA Journal, Vol. 26, No. 4, 1988, pp. 463-469. doi:10.2514/3.9916
4. Osman, M. S., Abo-Sinna, M. A, Amer, A. H., and Emam, O. E., "A Multi-Level Nonlinear Multi-Objective Decision Making Under Fuzziness," Applied Mathematics and Computation, Vol. 153, 2004, pp. 239-252. doi:10.1016/S0096-3003(03)00628-3
5. Rao, S. S., "Game Theory Approach for Multiobjective Structural Optimization," Computers and Structures, Vol. 25, No. 1, 1987, pp. 119-127. doi:10.1016/0045-7949(87)90223-9
6. Rao, S. S., Sundararaju, K., Prakash, B. G., and Balakrishna, C., "MultiObjective Fuzzy Optimization Techniques for Engineering Design," Computers and Structures, Vol. 42, No. 1, 1992, pp. 37-44. doi:10.1016/0045-7949(92)90534-7
7. Yu, M., and Xu, C., "Multi-Objective Fuzzy Optimization of Structures Based on Generalized Fuzzy Decision-Making," Computers and Structures, Vol. 53, No. 2, 1994, pp. 411-417. doi:10.1016/0045-7949(94) 90213-5
8. Rao, S. S., and Hati, S. K., "Game Theory Approach in Multicriteria Optimization of Function Generating Mechanisms," Journal of Mechanical Design, Vol. 101, 1979, pp. 398-406.
9. Vincent, T. L., "Game Theory as a Design Tool," Transactions of the ASME. Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 105, No. 1, 1983, pp. 165-170.
10. Rao, S. S., "Game Theory Approach for Multiobjective Structural Optimization," Computers and Structures, Vol. 25, No. 1, 1987, pp. 119-127. doi:10.1016/0045-7949(87)90223-9
11. Rao, S. S., and Freiheit, T. I., "A Modified Game Theory Approach to Multiobjective Optimization," Transactions of the ASME, Vol. 113, 1991, pp. 286-291. doi:10.1115/1.2912781
12. Dhingra, A. K., and Rao, S. S., "A Cooperative Fuzzy Game Theoretic Approach to Multiple Objective Design Optimization," European Journal of Operational Research, Vol. 83, No. 3, 1995, pp. 547-567.
13. Rao, S. S., and Berke, L., "Analysis of Uncertain Structural Systems Using Interval Analysis,"AIAA Journal, Vol. 35, No. 4, 1997, pp. 727-735. doi: 10.2514/2.164
14. Dessombz, O., Thouverez, F., Laine, J. P., and Jezequel, L., "Analysis of Mechanical Systems Using Interval Computations Applied to Finite Element Methods," Journal of Sound and Vibration, Vol. 239, No. 5, 2001, pp. 949-968. doi:10.1006/jsvi.2000.3191
15. Philip, D., "Summary of Information Relating to Gust Loads on Airplanes," NACA Rept. 997, 1950.
16. Clementson, G. C., "An Investigation of the Power Spectral Density of Atmospheric Turbulence," Ph.D. Thesis, MIT, Cambridge, MA, 1950.
17. Rao, S. S., "Optimization of Airplane Wing Structures Under Gust Loads," Computers and Structures, Vol. 21, No. 4, 1985, pp. 741-749. doi:10.1016/0045-7949(85)90150-6
18. Rao, S. S., "Automated Optimum Design of Wing Structures: A Probabilistic Approach," Computers and Structures, Vol. 24, No. 5, 1986, pp. 799-808. doi:10.1016/0045-7949(86)90145-8
19. Perry, B. III, Pototzky, A. S., and Wood, J. A., "NASA Investigation of a Claimed Overlap Between Two Gust Response Analysis Method," Journal of Aircraft, Vol. 27, No. 7, 1990, pp. 605-611. doi: 10.2514/3.25329
20. Yang, J. S., Nikolaidis, E., and Haftka, R. T., "Design of Aircraft Wings Subjected to Gust Loads: A System Reliability Approach," Computers and Structures, Vol. 36, No. 6, 1990, pp. 1057-1066. doi:10.1016/0045- 7949(90)90213-L
21. Rao, S. S., and Chen, L. I., "Numerical Solution of Fuzzy Linear Equations in Engineering Analysis," International Journal for Numerical Methods in Engineering, Vol. 43, 1998, pp. 391-408. doi:10.1002/(SICI)1097- 0207(19981015)43:3〈391::AID-NME417〉3.0.CO;2-J
22. Tang, D., and Dowell, E. H., "Experimental and Theoretical Study of Gust Response for High-Aspect-Ratio Wing," AIAA Journal, Vol. 40, No. 3, 2002, pp. 419-429. doi:10.2514/2.1691
23. Pettit, C. L., Grandhi, R. V., "Optimization of a Wing Structure for Gust Response and Aileron Effectiveness," Journal of Aircraft, Vol. 40, No. 6, 2003, pp. 1185-1191. doi: 10.2514/2.7208
24. Kim, T. U., and Hwang, I. H., "Optimal Design of Composite Wing Subjected to Gust Loads," Computers and Structures, Vol. 83, 2005, pp. 1546-1554. doi:10.1016/j.compstruc.2005.02.002
25. Houolt, J. C, and Kordes, E. E., "Structural Response to Discrete and Continuous Gusts of an Airplane Having Wing Bending Flexibility and a Correlation of Calculated and Flight Results," NACA Rept. 1181, 1954.
26. Majumder, L., "An Interval Analysis-Based Multiobjective Optimization of Supersonic Wing Structures," Ph.D. Thesis, University of Miami, Coral Gables, FL, Aug. 2007.
27. Schmit, L. A., and Thronton, W. A., "Synthesis of an Airfoil at Supersonic Mach Number," NASA Rept. CR-144, 1965.
28. Rao, S. S., Reliability-Based Design, McGraw-Hill, New York, 1992.