Large scale optimization using multipoint cubic approximation

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 3, Issue , 2007, Pages 2815-2825

  Roberts Jr , Ronald W ^a,b,c   Canfield, Robert A ^a,b,c  

^a AIR FORCE INSTITUTE OF TECHNOLOGY   (United States)

^b WRIGHT PATTERSON AIR FORCE BASE   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CANTILEVER BEAMS; NONLINEAR PROGRAMMING; PROBLEM SOLVING; QUADRATIC PROGRAMMING;

CONSTRAINED PROBLEMS; HESSIAN MATRIX; MOSEK APS;

OPTIMIZATION;

EID: 34547543621     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-1929     Document Type: Conference Paper

References (20)

1. Haftka, R. T. and Gurdal, Z., Elements of Structural Optimization, Kluwer Academic Publishers, 1992.
2. Livne, E., "Integrated Aeroservoelastic Optimization: Status and Direction," Journal of Aircraft, Vol. 36, No. 1, January 1999, pp. 122-145.
3. Schmit, Lucien A.; Miura, H., "Approximation Concepts for Efficient Structural Synthesis," Tech. Rep. CR-2552, NASA, March 1976.
4. Thanedar, P., "Automotive Applications of a User-Friendly Shape Optimization Process for Product Design," AIAA/ASME/ASCE/AHS/ASC, Structures, Structural Dynamics and Materials Conference, Kissimmee, FL, April 1997.
5. Sargent, R., "The Development of the SQP Algorithm for Nonlinear Programming," Large Scale Optimization with Applications, Part II, edited by L. Biegler, Springer-Verlag, Ney York, 1997, pp. 1-20.
6. Toropov, V. V.; Filatov, A. A., "Multiparameter Structural Optimization Using FEM and Mulitpoint Explicit Approximations," Structural Optimization, Vol. 6, 1993, pp. 7-14.
7. Toropov, V. V., "Simulation Approach to Structural Optimization," Structural Optimization, Vol. 1. 1989, pp. 37-46.
8. Wujek, B. A. and Renaud, J. E., "New Adaptive Move-Limit Management Strategy for Approximate Optimization, Part 1," AIAA Journal, Vol. 36, No. 10, October 1998, pp. 1011-1921.
9. Venter, G.; Haftka, R. T., "Construction of Response Surface Approximations for Design Optimization," AIAA Journal, Vol. 36, No. 12, December 1998, pp. 2242-2249.
10. Koch, P.; Wujek, B., "Facilitating Probabilistic Multidisciplinary Design Optimization Using Kriging Approximation Models," 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, September 2002.
11. Liu, W., Development of Gradient-Enhanced Kriging Approximations for Multidisciplinary Design Optimization, Ph.D. thesis, University of Notre Dame, March 2003.
12. Vanderplaats, G. N., "Very Large Scale Optimization," 8th AIAA/USA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Bench, CA, September 2000.
13. Vanderplaats, G. N. and Miura, H., "Genesis - Structural Synthesis Software Using Advanced Approximation Techniques," AIAA-92-4839-CP, 1992.
14. Vanderplaats, G. N., "Very Large Scale Optimization," Tech. Rep. NASA-CR-2002-211768, NASA, March 2002.
15. Canfield, R. A., "Multipoint Cubic Surrogate Function for Sequential Approximate Optimization," 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, September 2002.
16. Canfield, R. A., "Multipoint Cubic Surrogate Function for Sequential Approximate Optimization," Journal of Structural Optimization, Vol. 27, 2004, pp. 1-11.
17. Canfield, R. A., "Sequential Multipoint; Quadratic Approximation for Numerical Optimization," 42nd AIAA/ASME/ACSE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Seattle, WA, April 2001.
18. Math Works Inc., Matlab Version 7 Users Guide, 2004.
19. "MOSEK ApS Website," www.mosek.com/main.html, 2007.
20. Boggs, P. and Kearsley, A., "A Practical Algorithm for General Large Scale Nonlinear Optimization Problems," SIAM Journal on Optimization, Vol. 9, No. 3, 1999, pp. 755-778.