Technical Papers
Aug 23, 2016

Reduced-Order Modeling of Unsteady Aerodynamics for an Elastic Wing with Control Surfaces

Publication: Journal of Aerospace Engineering
Volume 30, Issue 3

Abstract

In this paper, a reduced-order modeling approach based on computational fluid dynamics is presented for an elastic wing with control surfaces in the transonic regime. To treat the computational fluid dynamics grid around the geometrical discontinuities, due to the deflection of control surfaces, the constant volume tetrahedron method and the transpiration method are combined together without deforming the grid. Based on the input–output data from the computational fluid dynamics solver, one multiple-input/multiple-output discrete-time state-space model for the wing is identified via a robust subspace algorithm. For each control surface, one one-input/multiple-output discrete-time state-space model is identified using the same algorithm. With the precomputed state-space models for a few flight parameters, the generalized aerodynamic forces over a range of flight parameters can be computed by interpolating the output data. The methodology is applied to an elastic wing model with two control surfaces and the generalized aerodynamic forces are compared with the results from the computational fluid dynamics solver to validate the reduced-order modeling approach in transonic regime.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant 11472128 and by the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and astronautics) under Grant No. 0114G01.

References

Albano, E., and Rodden, W. P. (1969). “A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows.” AIAA J., 7(2), 279–285.
Amsallem, D., Cortial, J., and Farhat, C. (2010). “Towards real-time computational-fluid-dynamics-based aeroelastic computations using a database of reduced-order information.” AIAA J., 48(9), 2029–2037.
Attar, P. J., Dowell, E. H., White, J. R., and Thomas, J. P. (2006). “Reduced order nonlinear system identification methodology.” AIAA J., 44(8), 1895–1904.
Badcock, K. J., et al. (2011). “Transonic aeroelastic simulation for instability searches and uncertainty analysis.” Prog. Aeosp. Sci., 47(5), 392–423.
Balajewicz, M., Nitzsche, F., and Feszty, D. (2010). “Application of multi-input Volterra theory to nonlinear multi-degree-of-freedom aerodynamic systems.” AIAA J., 48(1), 56–62.
Cavagna, L., Ricci, S., and Scotti, A. (2009). “Active aeroelastic control over a four control surface wing model.” Aerosp. Sci. Technol., 13(7), 374–382.
Geuzaine, P., Brown, G., Harris, C., and Farhat, C. (2003). “Aeroelastic dynamic analysis of a full F-16 configuration for various flight conditions.” AIAA J., 41(3), 363–371.
Ghoreyshi, M., and Cummings, R. M. (2014). “Unsteady aerodynamic modeling of aircraft control surfaces by indicial response methods.” AIAA J., 52(12), 2683–2700.
Glaz, B., Liu, L., and Friedmann, P. P. (2010). “Reduced-order nonlinear unsteady aerodynamic modeling using a surrogate-based recurrence framework.” AIAA J., 48(10), 2418–2429.
Goura, G. S. L., Badcock, K. J., Woodgate, M. A., and Richards, B. E. (2001). “A data exchange method for fluid-structure interaction problems.” Aeronaut. J., 105(1046), 215–221.
Gupta, K., and Bach, C. (2007). “Computational fluid dynamics-based aeroservoelastic analysis with hyper-X applications.” AIAA J., 45(7), 1459–1471.
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.
Huang, R., Hu, H., and Zhao, Y. (2014). “Nonlinear reduced-order modeling for multiple-input/multiple-output aerodynamic systems.” AIAA J., 52(6), 1219–1231.
Kim, T. (2011). “System identification for coupled fluid-structure: Aerodynamics is aeroelasticity minus structure.” AIAA J., 49(3), 503–512.
Lai, K. L., Zhang, X. Q., and Kim, T. (2014). “Numerical study of effect of control surface on wing flutter in transonic flow.” 55th AIAA/ASME/ASCE/AHS/SC Structures, Structural Dynamics, and Materials Conf., AIAA, National Harbor, MD, 1–28.
Lieu, T., and Farhat, C. (2007). “Adaptation of aeroelastic reduced-order models and application to an F-16 configuration.” AIAA J., 45(6), 1244–1257.
Liu, H., Hu, H., Zhao, Y., and Huang, R. (2014). “Efficient reduced-order modeling of unsteady aerodynamics robust to flight parameter variations.” J. Fluid. Struct., 49, 728–741.
Marques, F. D., and Anderson, J. (2001). “Identification and prediction of unsteady transonic aerodynamic loads by multi-layer functionals.” J. Fluid. Struct., 15(1), 83–106.
MSC/PATRAN [Computer software]. MSC Software, Newport Beach, CA.
Nakai, K., Shimoyama, K., Obayashi, S., Morino, H., and Yamaguchi, H. (2011). “Calculation of unsteady control surface aerodynamics using reduced-order models.” 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, AIAA, Orlando, FL, 1–9.
Pechloff, A., and Laschka, B. (2006). “Small disturbance Navier-Stokes method: Efficient tool for predicting unsteady air loads.” J. Aircr., 43(1), 17–29.
Raveh, D. E. (2004). “Identification of computational-fluid-dynamics based unsteady aerodynamic models for aeroelastic analysis.” J. Aircr., 41(3), 620–632.
Scott, R. C., Hoadley, S. T., Wieseman, C. D., and Durham, M. H. (2000). “Benchmark active controls technology model aerodynamic data.” J. Guid. Control Dyn., 23(5), 914–921.
Silva, W. A., and Bartels, R. E. (2004). “Development of reduced-order models for aeroelastic analysis and flutter prediction using the CFL3Dv6.0 code.” J. Fluid. Struct., 19(6), 729–745.
Skujins, T., and Cesnik, C. (2012). “Toward an unsteady aerodynamic ROM for multiple mach regimes.” 53rd AIAA Structures, Structural Dynamics, and Materials Conf., AIAA, Honolulu, Hawaii, 1–20.
Stephens, C. H., Arena, A. S., and Gupta, K. K. (1999). “CFD-based aeroservoelastic predictions with comparisons to benchmark experimental data.” 37th AIAA Aerospace Sciences Meeting and Exhibit, AIAA, Reno, NV, 1–11.
Thomas, J. P., Dowell, E. H., and Hall, K. C. (2010). “Using automatic differentiation to create a nonlinear reduced-order-model aerodynamic solver.” AIAA J., 48(1), 19–24.
Van Overschee, P., and De Moor, B. (1996). Subspace identification for linear systems: Theory, implementation, applications, Kluwer Academic, Dordrecht, the Netherlands.
Zhang, W., Wang, B., Ye, Z., and Quan, J. (2012). “Efficient method for limit cycle flutter analysis based on nonlinear aerodynamic reduced-order models.” AIAA J., 50(5), 1019–1028.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 30Issue 3May 2017

History

Received: Sep 17, 2015
Accepted: Jun 29, 2016
Published online: Aug 23, 2016
Discussion open until: Jan 23, 2017
Published in print: May 1, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing Univ. of Aeronautics and Astronautics, 29 Yudao St., Nanjing 210016, P.R. China. E-mail: [email protected]
Lecturer, State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing Univ. of Aeronautics and Astronautics, 29 Yudao St., Nanjing 210016, P.R. China. E-mail: [email protected]
Yonghui Zhao [email protected]
Professor, State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing Univ. of Aeronautics and Astronautics, 29 Yudao St., Nanjing 210016, P.R. China. E-mail: [email protected]
Professor, State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing Univ. of Aeronautics and Astronautics, 29 Yudao St., Nanjing 210016, P.R. China (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share