Technical Papers
Feb 10, 2014

Flutter of Maneuvering Aircraft

Publication: Journal of Aerospace Engineering
Volume 28, Issue 4

Abstract

The objective of this paper is to investigate how the aeroelastic stability, particularly flutter, is affected by aircraft maneuvers. The authors’ investigation is based on a comprehensive mathematical model of aircraft, which is achieved by seamlessly integrating all the disciplines pertinent to flight of aircraft. The aircraft is treated as an unstrained, flexible multibody system subject to unsteady aerodynamics. The bodies are fuselage, wing, and horizontal and vertical stabilizers, whose structures are modeled as beams in bending and torsion. The equations of motion are derived using Lagrange’s equations in quasi-coordinates. The resulting equations are a set of nonlinear ordinary differential equations of relatively high order. The final model is used to determine flutter speeds of aircraft at steady level turn and steady climb at various altitudes. These maneuvers are especially chosen to keep the equations time invariant. The numerical results are given for a generic transport model (GTM). The stability of a GTM is affected by turn radius, climb angle, and altitude. The results for climbing flight can be extended to address stability of gliding flight.

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References

Abbas, L. K., Chen, Q., Marzocca, P., and Milanese, A. (2008). “Nonlinear aeroelastic investigations of store(s)-induced limit cycle oscillations.” Proc. IME Part G: J. Aerosp. Eng., 222(1), 63–80.
Baghdadi, N., Lowenberg, M. H., and Isikveren, A. T. (2011). “Analysis of flexible aircraft dynamics using bifurcation methods.” J. Guid. Control Dyn., 34(3), 795–809.
Baluch, H. A., and van Tooren, M. (2009). “Modified inertially coupled equations of motion for flexible aircraft with coupled vibrations.” J. Aircr., 46(1), 107–115.
Bisplinghoff, R. L., and Ashley, H. (1962). Principles of aeroelasticity, Wiley, New York.
Chang, C. -S., Hodges, D. H., and Patil, M. J. (2008). “Flight dynamics of highly flexible aircraft.” J. Aircr., 45(2), 538–545.
Dusto, A. R., et al. (1974). “A method for predicting the stability characteristics of an elastic airplane, vol. 1-FLEXSTAB theoretical description.”, NASA, Washington, DC.
Fazelzadeh, S., and Sadat-Hoseini, H. (2012). “Nonlinear flight dynamics of a flexible aircraft subjected to aeroelastic and gust loads.” J. Aerosp. Eng., 51–63.
Hesse, H., and Palacios, R. (2012). “Consistent structural linearisation in flexible-body dynamics with large rigid body motion.” Comput. Struct., 110–111, 1–14.
Krüger, W. R. (2008). “A multi-body approach for modeling manoeuvring aeroelastic aircraft during preliminary design.” Proc. IME Part G: J. Aerosp. Eng., 222(6), 887–894.
Meirovitch, L., and Tuzcu, I. (2003). “Integrated approach to the dynamics and control of maneuvering flexible aircraft.”, NASA, Washington, DC.
Meirovitch, L., and Tuzcu, I. (2004). “Unified theory for the dynamics and control of maneuvering flexible aircraft.” AIAA J., 42(4), 714–727.
Meirovitch, L., and Tuzcu, I. (2005). “Control of flexible aircraft executing time-dependent maneuvers.” J. Guid. Control Dyn., 28(6), 1291–1300.
Meirovitch, L., Tuzcu, I., and McGrory, W. D. (2009). “Predicting the response of low-aspect ratio, flexible aircraft.” Aeronaut. J., 113(1142), 207–219.
Milne, R. D. (1962). “Dynamics of the deformable airplane, parts I and II.” Her Majesty’s Stationery Office, Rep. and Memoranda No. 3345, London.
Murua, J., Palacios, R., and Graham, J. M. R. (2012). “Applications of the unsteady vortex-lattice method in aircraft aeroelasticity and flight dynamics.” Prog. Aerosp. Sci., 55, 46–72.
Nguyen, N., Trinh, K., Nguyen, D., and Tuzcu, I. (2012). “Nonlinear aeroelasticity of a flexible wing structure coupled with aircraft flight dynamics.” Proc., of the 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf., AIAA, Reston, VA.
Nguyen, N., and Tuzcu, I. (2009). “Flight dynamics of flexible aircraft with aeroelastic and inertial force interactions.” AIAA Atmospheric Flight Mechanics Conf., AIAA, Reston, VA.
Palacios, R., Murua, J., and Cook, R. (2010). “Structural and aerodynamic models in nonlinear flight dynamics of very flexible aircraft.” AIAA J., 48(11), 2648–2659.
Paranjape, A. A., Chung, S. -J., and Hilton, H. H. (2012). “Dynamics and performance of tailless micro aerial vehicle with flexible articulated wings.” AIAA J., 50(5), 1177–1188.
Patil, M. J., and Hodges, D. H. (2006). “Flight dynamics of highly flexible flying wings.” J. Aircr., 43(6), 1790–1799.
Patil, M. J., Hodges, D. H., and Cesnik, C. E. S. (2001). “Nonlinear aeroelasticity and flight dynamics of high-altitude long-endurance aircraft.” J. Aircr., 38(1), 88–94.
Peters, D. A., Hsieh, M. A., Torrero, A. (2007). “A state-space airloads theory for flexible airfoils.” J. Am. Helicopter Soc., 52(4), 329–343.
Peters, D. A., Johnson, M. J. (1994). “Finite-state airloads for deformable airfoils on fixed and rotating wings.” Proc., ASME Winter Annual Meeting, ASME, New York.
Peters, D. A., Karunamoorthy, S., and Cao, W. (1995). “Finite-state induced flow models, part I: Two-dimensional thin airfoil.” J. Aircr., 32(2), 313–322.
Raghavan, B., Patil, M. J. (2009). “Flight dynamics of high-aspect-ratio flying wings: Effect of large trim deformation.” J. Aircr., 46(5), 1808–1812.
Raghavan, B., and Patil, M. J. (2010). “Flight control for flexible, high-aspect-ratio flying wings.” J. Guid. Control Dyn., 33(1), 64–74.
Reschke, C. (2006). “Integrated flight loads modeling and analysis for flexible transport aircraft.” Doctoral dissertation, Stuttgart Univ., Stuttgart, Germany.
Seigler, T. M. (2005). “Dynamics and control of morphing aircraft.” Ph.D. dissertation, Virginia Polytechnic Institute and State Univ., Blacksburg, VA.
Shearer, C. M., and Cesnik, C. E. S. (2007). “Nonlinear flight dynamics of very flexible aircraft.” J. Aircr., 44(5), 1528–1545.
Shearer, C. M., and Cesnik, C. E. S. (2008). “Trajectory control for very flexible aircraft.” J. Guid. Control Dyn., 31(2), 340–357.
Su, W. S., and Cesnik, C. E. (2010). “Nonlinear aeroelasticity of a very flexible blended-wing-body aircraft.” J. Aircr., 47(5), 1539–1553.
Taylor, A. S., and Woodcock, D. L. (1971). “Mathematical approaches to the dynamics of deformable aircraft, parts I and II.” Her Majesty’s Stationery Office, Reports and Memoranda No. 3776, London.
Tuzcu, I. (2008). “On the stability of flexible aircraft.” Aerosp. Sci. Technol., 12(5), 376–384.
Tuzcu, I., Marzocca, P., Cestino, E., Romeo, G., and Frulla, G. (2007). “Stability and control of a high-altitude-long-endurance UAV.” J. Guid. Control Dyn., 30(3), 713–721.
Tuzcu, I., and Nguyen, N. (2010a). “Modeling and control of generic transport model.” 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf., AIAA, Reston, VA.
Tuzcu, I., and Nguyen, N. (2010b). “Aeroelastic modeling and adaptive control of GTM.” AIAA Atmospheric Flight Mechanics Conf., AIAA, Reston, VA.
Tuzcu, I., and Nguyen, N. (2011). “Unsteady aeroelasticity of generic transport model.” AIAA Atmospheric Flight Mechanics Conf., AIAA, Reston, VA.
Zhao, Z., and Ren, G. (2011). “Multibody dynamic approach of flight dynamics and nonlinear aeroelasticity of flexible aircraft.” AIAA J., 49(1), 41–53.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 28Issue 4July 2015

History

Received: Feb 10, 2013
Accepted: Feb 7, 2014
Published online: Feb 10, 2014
Discussion open until: Dec 25, 2014
Published in print: Jul 1, 2015

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Authors

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Ilhan Tuzcu [email protected]
Associate Professor, Mechanical Engineering Dept., California State Univ., Sacramento, CA 95819 (corresponding author). E-mail: [email protected]
Nhan Nguyen
Research Scientist, Intelligent Systems Division, NASA Ames Research Center, Mail Stop 269-1, Moffett Field, CA 94035.

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