Post by Felipe Chegury Viana on Jan 6, 2009 9:34:29 GMT -5
Dear all,
Here it is a reference on the application of heuristic optimization methods and variable fidelity in the design optimization of a pressure bulkhead:
F. A. C. Viana, V. Steffen Jr, S. Butkewitsch, and M. F. Leal, "OPTIMIZATION OF AIRCRAFT STRUCTURAL COMPONENTS BY USING NATURE-INSPIRED ALGORITHMS AND MULTI-FIDELITY APPROXIMATIONS," Journal of Global Optimization, 2009 (DOI : 10.1007/s10898-008-9383-x).
In this work, a flat pressure bulkhead reinforced by an array of beams is designed using a suite of heuristic optimization methods (Ant Colony Optimization, Genetic Algorithms, Particle Swarm Optimization and LifeCycle Optimization), and the Nelder-Mead simplex direct search method. The compromise between numerical performance and computational cost is addressed, calling for inexpensive, yet accurate analysis procedures. At this point, variable fidelity is proposed as a tradeoff solution. The difference between the low-fidelity and high-fidelity models at several points is used to fit a surrogate that corrects the low-fidelity model at other points. This allows faster linear analyses during the optimization; whilst a reduced set of expensive non-linear analyses are run “off-line,” enhancing the linear results according to the physics of the structure. Numerical results report the success of the proposed methodology when applied to aircraft structural components. The main conclusions of the work are (i) the variable fidelity approach enabled the use of intensive computing heuristic optimization techniques; and (ii) this framework succeeded in exploring the design space, providing good initial designs for classical optimization techniques. The final design is obtained when validating the candidate solutions issued from both heuristic and classical optimization. Then, the best design can be chosen by direct comparison of the high-fidelity responses.
You can find more about it online:
fchegury.googlepages.com
All the best,
Felipe Viana
Here it is a reference on the application of heuristic optimization methods and variable fidelity in the design optimization of a pressure bulkhead:
F. A. C. Viana, V. Steffen Jr, S. Butkewitsch, and M. F. Leal, "OPTIMIZATION OF AIRCRAFT STRUCTURAL COMPONENTS BY USING NATURE-INSPIRED ALGORITHMS AND MULTI-FIDELITY APPROXIMATIONS," Journal of Global Optimization, 2009 (DOI : 10.1007/s10898-008-9383-x).
In this work, a flat pressure bulkhead reinforced by an array of beams is designed using a suite of heuristic optimization methods (Ant Colony Optimization, Genetic Algorithms, Particle Swarm Optimization and LifeCycle Optimization), and the Nelder-Mead simplex direct search method. The compromise between numerical performance and computational cost is addressed, calling for inexpensive, yet accurate analysis procedures. At this point, variable fidelity is proposed as a tradeoff solution. The difference between the low-fidelity and high-fidelity models at several points is used to fit a surrogate that corrects the low-fidelity model at other points. This allows faster linear analyses during the optimization; whilst a reduced set of expensive non-linear analyses are run “off-line,” enhancing the linear results according to the physics of the structure. Numerical results report the success of the proposed methodology when applied to aircraft structural components. The main conclusions of the work are (i) the variable fidelity approach enabled the use of intensive computing heuristic optimization techniques; and (ii) this framework succeeded in exploring the design space, providing good initial designs for classical optimization techniques. The final design is obtained when validating the candidate solutions issued from both heuristic and classical optimization. Then, the best design can be chosen by direct comparison of the high-fidelity responses.
You can find more about it online:
fchegury.googlepages.com
All the best,
Felipe Viana