This paper starts with the engineering application of a trade-off between the aerodynamic characteristics and aircraft design requirements in transonic wing design, and proposes a two-step design strategy which combines the wing planform optimization and wing section optimization based on the constraints of constant structure weight and volume. Using the neural network and genetic algorithm, a corresponding design method is set up. For the transonic wing design using the two-step optimization method, improvement of the wing aerodynamic characteristics in the first design step mainly depends on the optimization of the wing planform, which can increase the wing aspect ratio and reduce induced drag. However, the improvement is very limited because the structure weight constraint just allows very little change in the wing planform. In the second design step, based on the wing planform optimized in the first design step and wing volume constraint, improvement of the wing aerodynamic characteristics mainly depends on the optimization of the wing sections which can weaken the shock wave and reduce wave drag at high Mach numbers. By using the two-step optimization method, the lift-drag ratio increments of the two design points can reach 3.02% and 9.96% respectively, and the drag divergence Mach number can be postponed from 0.854 to 0.8653. Moreover, the two-step optimization design method is suitable for engineering application. The pure aerodynamic optimization methods are also applicable to transonic wing design without the constraints of structure weight and volume. The results show that the improvement in aerodynamic characteristics is significant though the method will not then satisfy the design requirements of constant structure weight and volume.
LI Peifeng, ZHANG Binqian, CHEN Yingchun
. A Two-step Optimization Method of Transonic Wing Design for Engineering Application[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011
, 32(12)
: 2153
-2162
.
DOI: CNKI:11-1929/ V.20110823.1119.002
[1] Jameson A, Vassberg J C, Shankaran S. Aerodynamic-structural design studies of low-sweep transonic wings[J]. Journal of Aircraft, 2010, 47(2):505-514.
[2] Smith N R, Blessing B, Dixon J, et al. Conceptual design of environmentally responsible 150-passenger commercial aircraft. AIAA-2010-1392, 2010.
[3] Jones G S, Bangert L S, Garber D P, et al. Research opportunities in advanced aerospace concepts. NASA TM-2000-210547, 2000.
[4] 吴光辉, 陈迎春. 大型客机计算流体力学应用与发展[M]. 上海: 上海交通大学出版社, 2009: 10-20. Wu Guanghui, Chen Yingchun. The application and development of CFD in large civil aircraft[M]. Shanghai: Shanghai Jiaotong University Press, 2009: 10-20. (in Chinese)
[5] Ning S A, Kroo I. Multidisciplinary considerations in the design of wings and wing tip devices[J]. Journal of Aircraft, 2010, 47(2):534-543.
[6] Cosentino G B, Holst T L. Numerical optimization design of advanced transonic wing configurations. NASA TM-85950, 1984.
[7] Jameson A, Alonso J J, Reuther J,et al. Aerodynamic shape optimization techniques based on control theory. AIAA-1998-2538, 1998.
[8] Leoviriyakit K, Kim S, Jameson A. Viscous aerodynamic shape optimization of wings including planform variables. AIAA-2003-3498, 2003.
[9] Leoviriyakit K, Jameson A. Multi-point wing planform optimization via control theory. AIAA-2005-450, 2005.
[10] Hacioglu A. Augmented genetic algorithm with neural network and implementation to the inverse airfoil design. AIAA-2004-4633, 2004.
[11] Hacioglu A. Fast evolutionary algorithm for airfoil design via neural network[J]. AIAA Journal, 2007, 45(9):2196-2203.
[12] Oyama A, Obayashi S, Nakahashi K, et al. Transonic wing optimization using genetic algorithm. AIAA-1997-1854, 1997.
[13] Rosin P F, Mattos B S, Girardi R M, et al. Wing planform optimization of a transport aircraft. AIAA-2004-5191,2004.
[14] Ng K Y, Tan C M, Ray T, et al. Single and multiobjective wing planform and airfoil shape optimization using a swarm algorithm. AIAA-2003-45, 2003.
[15] Raymer D P. Aircraft design: a conceptual approach[M]. Washington, DC: American Institute of Aeronautics and Astronautics, Inc, 1989:401-407.
[16] Laurenceau J, Meaux M, Montagnac M, et al. Comparison of gradient based and gradient enhanced response surface based optimizers[J]. AIAA Journal, 2010, 48(5):981-994.
[17] Hicks R M, Henne P A. Wing design by numerical optimization[J]. Journal of Aircraft, 1978, 15(7):407-413.
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