Flutter and divergence analysis using the generalized aeroelastic analysis method

Journal of Aircraft

Volumn 45, Issue 3, 2008, Pages 906-915

  Edwards, John W ^a,b,c   Wieseman, Carol D ^a,b,c  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b Aeroelasticity Branch

^c AIAA ^*

Author keywords

[No Author keywords available]

Indexed keywords

AEROELASTICITY; EIGENVALUES AND EIGENFUNCTIONS; FLUTTER (AERODYNAMICS); INTEGRAL EQUATIONS; ITERATIVE METHODS; LINEAR EQUATIONS; POLES; WINGS;

AEROELASTIC ANALYSIS; DIVERGENCE INSTABILITY; DOUBLET-LATTICE METHOD; LIFTING-SURFACE THEORY; LINEAR ALGEBRAIC EQUATION; SERIES APPROXIMATIONS; SINGULAR INTEGRAL EQUATIONS; SUBSONIC FLOW CONDITIONS;

ROOT LOCI;

EID: 46449139779     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.30078     Document Type: Conference Paper

References (36)

1. Bisplinghoff, R. L., Ashley, H., and Halfman, R. L., Aeroelasticity, Addison Wesley Longham, Reading, MA, 1955.
2. Rodden, W. P., and Bellinger, E. D., "Aerodynamic Lag Functions, Divergence, and the British Flutter Method," Journal of Aircraft, Vol. 19, No. 7, 1982, pp. 596-598.
3. Chen, P. C., "A Damping Perturbation Method for Flutter Solution: The g-Method," Proceedings of the International Forum on Aeroelasticity and Structural Dynamics, Pt. I, NASA CP1999-209136/PT1, 1999, pp. 403-413.
4. van Zyl, L. H., "Aeroelastic Divergence and Aerodynamic Lag Roots," Journal of Aircraft, Vol. 38, No. 3, 2001, pp. 586-588.
5. Rodden, W. P., and Bellinger, E. D., "Unrestrained Aeroelastic Divergence in a Dynamic Stability Analysis," Journal of Aircraft, Vol. 19, No. 9, 1982, pp. 796-797.
6. van Zyl, L. H., and Maserumule, M. S., "Unrestrained Aeroelastic Divergence and the p-k Flutter Equation," Journal of Aircraft, Vol. 38, No. 3, 2001, pp. 588-590.
7. Rodden, W. P., and Stahl, B., "A Strip Method for Prediction of Damping in Subsonic Wind Tunnel and Flight Flutter Tests," Journal of Aircraft, Vol. 6, No. 1, Jan.-Feb. 1969, pp. 9-17.
8. van Zyl, L. H., "Divergence and the Flutter Equation," Proceedings of the International Forum on Aeroelasticity and Structural Dynamics, Vol. 2, Asociacion de Ingenieros Aeronauticos de Espana, Madrid, Spain, 2001, pp. 401-412.
9. Rodden, W. P., and Johnson, E. H., MSC/NASTRAN Ver. 68 Aeroelastic Analysis User's Guide, MacNeal-Schwendler, Los Angeles, CA, 1994.
10. Rodden, W. P., "Aeroelastic Divergence of Unrestrained Vehicles," Journal of Aircraft, Vol. 18, No. 12, 1981, pp. 1072-1073.
11. Albano, E., and Rodden, W. P., "A Doublet-Lattice Method for Calculating Lift Distributions on Oscillating Surfaces in Subsonic Flown," AIAA Journal, Vol. 7, No. 2, 1969, pp. 279-285.
12. Edwards, J. W., Unsteady Aerodynamic Modeling and Active Aeroelastic Control, Stanford Univ., Feb. 1977; also Stanford University Department of Aeronautics and Astronautics Rept. 504.
13. Edwards, J. W., "Unsteady Aerodynamic Modeling for Arbitrary Motions," AIAA Journal, Vol. 15, No. 4, April 1977, pp. 593-595.
14. Edwards, J. W., "Application of Laplace Transform Methods to Airfoil Motion and Stability Calculations," AIAA Paper 79-0772, St. Louis, MO, April 1979.
15. Edwards, J. W., Ashley, H., and Breakwell, J. V., "Unsteady Aerodynamic Modeling for Arbitrary Motions," AIAA Journal, Vol. 17, No. 4, April 1979, pp. 365-374.
16. Cunningham, H. J., and Desmarais, R. N., "Generalization of the Subsonic Kernel Function in the S-Plane, with Applications to Flutter Analysis," NASATP-2292, March 1984.
17. Cunningham, H. J., "Analysis of Prefiutter and Postflutter Characteristics With Motion-Matched Aerodynamic Forces," NASA TP-1232, July 1978.
18. Hassig, H. J., "An Approximate True Damping Solution of the Flutter Equation by Determinant Iteration," Journal of Aircraft, Vol. 8, No. 11, 1971, pp. 885-889.
19. Rodden, W. P., Harder, R. L., and Bellinger, E. D., "Aeroelastic Addition to NASTRAN," NASA CR 3094, 1979.
20. van Zyl, L. H., "Low Frequency Behavior of the Subsonic Doublet Lattice Method," The Aeronautical Journal, June 2005, pp. 285-291.
21. Jones, W. P., "Aerodynamic Forces on Wings in Non-Uniform Motion," United Kingdom Aeronautical Research Council R and M 1945.
22. Eldred, M. S., Venkayya, V. B., and Anderson, W. J., "Mode Tracking Issues in Aeroelastic Analysis," AIAA Journal, Vol. 33, No. 7, 1995, pp. 1292-1299.
23. Goodman, C., "Accurate Subcritical Damping Solution of Flutter Equation Using Piecewise Aerodynamic Function," Journal of Aircraft. Vol. 38, No. 4, July-Aug. 2001, pp. 755-763.
24. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, National Bureau of Standards Applied Mathematics Series 55, U.S. Department of Commerce, Washington, D.C., June 1964, 10th printing, Dec. 1972.
25. Adams, W. M., and Hoadley, S. T., "ISAC, A Tool For Aeroservoelastic Modeling and Analysis," NASA TM 109031, Dec. 1993.
26. Giesing, J. P., Kalman, T. P., and Rodden, W. P., "Subsonic Unsteady Aerodynamics for General Configurations. Part 1, Volume 1: Direct Application of the Nonplanar Doublet-Lattice Method," Air Force Flight Dynamics Laboratory TR-71-5, Pt. 1, Vol. 1, U.S. Air Force, Nov. 1971.
27. Ueda, T., "Lifting Surface Calculations in the Laplace Doman with Application to Root Loci,"AIAA Journal, Vol. 25, No. 5, May 1987, pp. 698-704.
28. Dowell, E. H., Thomas, J. P., and Hall, K. C., "Transonic Limit Cycle Oscillation Analysis Using Reduced Order Aerodynamic Models," Journal of Fluids and Structures, Vol. 19, No. 1, 2004, pp. 17-27. doi:10.1016/j.jfluidstructs.2003.07.018
29. Thomas, J. P., Dowell, E. H., and Hall, K. C., "Three-Dimenstional Transonic Aeroelasticity Using Proper Orthogonal Decomposition-Based Reduced-Order Models," Journal of Aircraft, Vol. 40, No. 3, May-June 2003, pp. 544-551.
30. Karpel, M., and Hoadley, S. T., "Physically Weighted Approximations of Unsteady Aerodynamic Forces Using the Minimum State Method," NASA TP 3025, March 1991.
31. Rodden, W. P., "Secondary Considerations of Static Aeroelastic Effects on High-Performance Aircraft," Paper No. 3 in Static Aeroelasticity in Combat Aircraft, AGARD Rept. 725, 1986.
32. van Zyl, L. H., "More on the Generalized Aeroelastic Analysis Method," International Forum on Aeroelasticity and Structural Dynamics [CD-ROM], IFASD IF-095.pdf, 2005, DCLR-Bericht 2005-04, ISBN 3-93218243-X.
33. Desmarais, R. N., "An Accurate and Efficient Method for Evaluating the Kernel of the Integral Equation Relating Pressure to Normalwash in Unsteady Flow," AIAA Paper 82-0687, May 1982.
34. Heeg, J., "Dynamic Investigation of Static Divergence: Analysis and Testing," Ph.D. Dissertation, Duke Univ., Durham, NC, May 2000.
35. Desmarais, R. N., and Rowe, W. S., "A Method for Computing the Kernel of the Downwash Integral Equation for Arbirtary Complex Frequencies," AIAA Paper 1984-983, May 1984.
36. Ellis, J. W., Dobbs, S. K., and Miller, G. D., "Structural Design and Wind Tunnel Testing of a Forward Swept Fighter Wing," Air Force Wright Aeronautical Laboratories TR-80-3073, July 1980.