Efficiency Enhancement of Aeroelastic Optimization Process Using Parametric Reduced-Order Modeling
Publication: Journal of Aerospace Engineering
Volume 31, Issue 2
Abstract
In this work, to demonstrate the efficiency of model reduction in design optimization, a parametric reduced-order model (PROM) was adopted in conjunction with an aeroelastic optimization process. Flutter speed was chosen as an objective function, and structural properties (material density, Young’s modulus, and Poisson’s ratio) as well as fluid properties (air density) were defined as the design variables. The flutter calculation was performed for a Goland wing, using finite-element modeling for the structure and the vortex lattice method for the aerodynamic part. A gradient-based optimization technique and a global optimization method were used to seek a maximum flutter speed. Comparison of optimization results from the full-order model (FOM) and PROM shows that the proposed optimization process yields the same optimum flutter speed as the FOM and yet reduces the computation time significantly, by up to a factor of four.
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References
Adeli, H., and Cheng, N. T. (1994). “Augmented Lagrangian genetic algorithm for structural optimization.” J. Aerosp. Eng., 104–118.
Amsallem, D., and Farhat, C. (2008). “Interpolation method for adapting reduced-order models and application to aeroelasticity.” AIAA J., 46(7), 1803–1813.
Barboni, R., Mannini, A., and Gaudenzi, P. (1999). “On the use of the P-TFE method for panel flutter optimization.” Comput. Struct., 70(1), 109–117.
Beran, P. S., Khot, N. S., Eastep, F. E., Snyder, R. D., and Zweber, J. V. (2004). “Numerical analysis of store-induced limit-cycle oscillation.” J. Aircr., 41(6), 1315–1326.
De Leon, D. M., De Souza, C. E., Fonseca, J. S. O., and Da Silva, R. G. A. (2012). “Aeroelastic tailoring using fiber orientation and topology optimization.” Struct. Multidiscip. Optim., 46(5), 663–677.
Frangos, M., Marzouk, Y., Willcox, K., and van Bloemen Waanders, B. (2010). “Surrogate and reduced-order modeling: A comparison of approaches for large-scale statistical inverse problems.” Large-scale inverse problems and quantification of uncertainty, Vol. 123149, Wiley, Chichester, U.K., 123–149.
Goland, M. (1945). “The flutter of a uniform cantilever wing.” J. Appl. Mech. Trans. ASME, 12(4), A197–A208.
Hall, K. C. (1994). “Eigenanalysis of unsteady flows about airfoils, cascades, and wings.” AIAA J., 32(12), 2426–2432.
Hall, K. C., Thomas, J. P., and Dowell, E. H. (2000). “Proper orthogonal decomposition technique for transonic unsteady aerodynamic flows.” AIAA J., 38(10), 1853–1862.
Jarre, F., Kocvara, M., and Zowe, J. (1998). “Optimal truss design by interior-point methods.” SIAM J. Optim., 8(4), 1084–1107.
Karpel, M. (1992). “Multidisciplinary optimization of aeroservoelastic systems using reduced-size models.” J. Aircr., 29(5), 936–946.
Karpel, M. (1999). “Reduced-order models for integrated aeroservoelastic optimization.” J. Aircr., 36(1), 146–155.
Katz, J., and Plotkin, A. (1991). Low-speed aerodynamics: From wing theory to panel methods, McGraw-Hill, New York.
Kholodar, D. B., Thomas, J. P., Dowell, E. H., and Hall, K. C. (2003). “Parametric study of flutter for an airfoil in inviscid transonic flow.” J. Aircr., 40(2), 303–313.
Kim, T. (1998). “Frequency-domain Karhunen-Loeve method and its application to linear dynamic systems.” AIAA J., 36(11), 2117–2123.
Kim, T. (2005). “Efficient reduced-order system identification for linear systems with multiple inputs.” AIAA J., 43(7), 1455–1464.
Kim, T. (2011). “System identification for coupled fluid-structure: Aerodynamics is aeroelasticity minus structure.” AIAA J., 49(3), 503–512.
Kim, T. (2015). “Surrogate model reduction for linear dynamic systems based on a frequency domain modal analysis.” Comput. Mech., 56(4), 709–723.
Kim, T. (2016). “Parametric model reduction for aeroelastic systems: Invariant aeroelastic modes.” J. Fluids Struct., 65(Aug), 196–216.
Kim, T., Nagaraja, K. S., and Bhatia, K. G. (2004). “Order reduction of state-space aeroelastic models using optimal modal analysis.” J. Aircr., 41(6), 1440–1448.
MATLAB [Computer software]. MathWorks, Natick, MA.
Morris, A. J. (1982). Foundation of structural optimization: A unified approach, Wiley, London.
Palaniappan, K., Beran, P. S., and Jameson, A. (2006). “Optimal control of LCOs in aerostructural systems: Having your (nonlinear) cake and eating it too.” Proc., 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf., AIAA, Newport, RI.
Paul-Dubois-Taine, A., and Amsallem, D. (2015). “An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models.” Int. J. Numer. Methods Eng., 102(5), 1262–1292.
Pierson, B. L. (1975). “Panel flutter optimization by gradient projection.” Int. J. Numer. Methods Eng., 9(2), 271–296.
Rubin, C. P. (1970). “Minimum weight design of complex structures subject to a frequency constraint.” AIAA J., 8(5), 923–927.
Sirovich, L., Kirby, M., and Winter, M. (1990). “An eigenfunction approach to large scale transitional structures in jet flow.” Phys. Fluids A: Fluid Dyn., 2(2), 127–136.
Stanford, B., and Beran, P. (2011). “Optimal structural topology of a platelike wing for subsonic aeroelastic stability.” J. Aircr., 48(4), 1193–1203.
Stanford, B., and Beran, P. (2013a). “Aerothermoelastic topology optimization with flutter and buckling metrics.” Struct. Multidiscip. Optim., 48(1), 149–171.
Stanford, B., and Beran, P. (2013b). “Direct flutter and limit cycle computations of highly flexible wings for efficient analysis and optimization.” J. Fluids Struct., 36(Jan), 111–123.
Turner, M. J. (1969). “Optimization of structures to satisfy flutter requirements.” AIAA J., 7(5), 945–951.
Van Keuren, G. M., and Eastep, F. E. (1977). “Use of Galerkin’s method for minimum-weight panels with dynamic constraints.” J. Spacecraft Rockets, 14(7), 414–418.
Weickum, G., Eldred, M., and Maute, K. (2006). “Multi-point extended reduced order modeling for design optimization and uncertainty analysis.” Proc., 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf. (2nd AIAA Multidisciplinary Design Optimization Specialist Conf.), AIAA, Newport, RI.
Weisshaar, T. A. (1972). “Aeroelastic optimization of a panel in high Mach number supersonic flow.” J. Aircr., 9(9), 611–617.
Weisshaar, T. A. (1976). “Panel flutter optimization—A refined finite element approach.” Int. J. Numer. Methods Eng., 10(1), 77–91.
Zimmermann, R. (2013). “Gradient-enhanced surrogate modeling based on proper orthogonal decomposition.” J. Comput. Appl. Math., 237(1), 403–418.
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©2018 American Society of Civil Engineers.
History
Received: Oct 4, 2016
Accepted: Jul 13, 2017
Published online: Jan 6, 2018
Published in print: Mar 1, 2018
Discussion open until: Jun 6, 2018
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