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Part of the book series: Mechanics: Dynamical Systems ((MDYS,volume 11))

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Abstract

In static aeroelasticity we have considered various mathematical models of aeroelastic systems. In all of these, however, the fundamental physical content consisted of two distinct phenomena, ‘divergence’ or static instability, and loss of aerodynamic effectiveness as typified by ‘control surface reversal’. Turning to dynamic aeroelasticity we shall again be concerned with only a few distinct fundamental physical phenomena. However, they will appear in various theoretical models of increasing sophistication. The principal phenomena of interest are (1) ‘flutter’ or dynamic instability and (2) response to various dynamic loadings as modified by aeroelastic effects. In the latter category primary attention will be devoted to (external) aerodynamic loadings such as atmospheric turbulence or ‘gusts’. These loadings are essentially random in nature and must be treated accordingly. Other loadings of interest may be impulsive or discrete in nature such as the sudden loading due to maneuvering of a flight vehicle as a result of control surface rotation.

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References for Chapter 3

  1. Meirovitch, L., Methods of Analytical Dynamics, McGraw-Hill Book Co., New York, 1970.

    Google Scholar 

  2. Bisplinghoff, R. L., Mar, J. W. and Pian, T. H. H., Statics of Deformable Solids, Addison-Wesley, 1965.

    Google Scholar 

  3. Timoshenko, S. P. and Goodier, J. N., Theory of Elasticity, McGraw-Hill, 1951.

    MATH  Google Scholar 

  4. Meirovitch, L., Elements of Vibration Analysis, McGraw-Hill, 1975.

    MATH  Google Scholar 

  5. Crandall, S. and Mark, W. D., Random Vibration in Mechanical Systems, Academic Press, 1963.

    Google Scholar 

  6. Houbolt, J. C., Steiner, R. and Pratt, K. G., ‘Dynamic Response of Airplanes to Atmospheric Turbulence Including Flight Data on Input and Response’, NASA TR R-199 (June 1964).

    Google Scholar 

  7. Acum, W. E. A., The Comparison of Theory and Experiment of Oscillating Wings, Vol. II, Chapter 10, AG ARD Manual on Aeroelasticity.

    Google Scholar 

  8. Pines, S., ‘An Elementary Explanation of the Flutter Mechanism’, Proceedings Nat. Specialists Meeting on Dynamics and Aeroelasticity, Institute of the Aeronautical Sciences, Ft. Worth, Texas (November 1958) pp. 52–58.

    Google Scholar 

  9. Ashley, H. and Zartarian, G., ‘Piston Theory—A New Aerodynamic Tool for the Aeroelastician’, J. Aero. Sei. Vol. 23, No. 12 (December 1956) pp. 1109–1118.

    MathSciNet  Google Scholar 

  10. Sears, W. R., ‘Operational Methods in the Theory of Airfoils in Non-uniform Motion’, of the Franklin Institute, Vol. 230, pp. 95–111, 1940.

    Article  MathSciNet  Google Scholar 

  11. Jones, R. T., ‘Properties of Low Aspect-Ratio Pointed Wings at Speeds Below and Above the Speed of Sound’, NACA Report 835, 1946.

    Google Scholar 

  12. Dowell, E. H. and Widnall, S. E., ‘Generalized Aerodynamic Forces on an Oscillating Cylindrical Shell: Subsonic and Supersonic Flow’, AIAA Journal, Vol. 4, No. 4 (April 1966) pp. 607–610.

    Article  MATH  Google Scholar 

  13. Widnall, S. E. and Dowell, E. H., ‘Aerodynamic Forces on an Oscillating Cylindrical Duct with an Internal Flow’, J. Sound Vibration, Vol. 1, No. 6 (1967) pp. 113–127.

    Google Scholar 

  14. Dowell, E. H., ‘Generalized Aerodynamic Forces on a Flexible Cylindrical Shell Undergoing Transient Motion’, Quarterly of Applied Mathematics, Vol. 26, No. 3 (October 1968) pp. 343–353.

    MathSciNet  MATH  Google Scholar 

  15. Hamming, R. W., Numerical Methods for Scientists and Engineers, McGraw-Hill, 1973.

    MATH  Google Scholar 

  16. Houbolt, J. C., ‘A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft’, J. Aero. Sc, Vol. 17, No. 9 (September 1950) pp. 540–550.

    MathSciNet  Google Scholar 

  17. Hausner, A., Analog and Analog!Hybrid Computer Programming, Prentice-Hall, Inc. 1971.

    MATH  Google Scholar 

  18. Savant, C. J., Basic Feedback Control System Design, McGraw-Hill, 1958.

    Google Scholar 

  19. Garrick, I. E. and Rubinow, S. L., ‘Flutter and Oscillating Air Force Calculations for an Airfoil in a Two-Dimensional Supersonic Flow’, NACA TR 846, 1946.

    MATH  Google Scholar 

  20. Hassig, H. J., ‘An Approximate True Damping Solution of the Flutter Equation by Iteration’, J. Aircraft, Vol. 8, No. 11 (November 1971) pp. 885–889.

    Article  Google Scholar 

  21. Eckhaus W.,, ‘Theory of Transonic Aileron Buzz, Neglecting Viscous Effects’, J. Aerospace Sciences, Vol. 29 (June 1962) pp. 712–718.

    Article  MATH  Google Scholar 

  22. Landahl, M., Unsteady Transonic Flow, Pergamon Press, 1961.

    Google Scholar 

  23. Lambourne, N. C., Flutter in One Degree of Freedom, Vol. V., Chapter 5, AGARD Manual on Aeroelasticity.

    Google Scholar 

  24. Abramson, H. N., ‘Hydroelasticity: A Review of Hydrofoil Flutter’, Applied Mechanics Reviews, Vol. 22, No. 2, p. 115, 1969.

    Google Scholar 

  25. Crisp, J. D. C., ‘On the Hydrodynamic Flutter Anomaly’ Noise, Shock, and Vibration Conference, Monash University, Melbourne, Australia, 1974.

    Google Scholar 

  26. Stenton, T. E., ‘Turbulence Response Calculations for the XB-70 Airplane and Preliminary Comparison with Flight Data’, presented at the Meeting on Aircraft Response to Turbulence, NASA Langley Research Center, Sept. 24–25, 1968.

    Google Scholar 

  27. Weaver, D. S. and Paidoussis, M. P., ‘On Collapse and Flutter Phenomena in Thin Tubes Conveying Fluid’,J of Sound Vibration, 50 (Jan. 8, 1977) pp. 117–132.

    Article  Google Scholar 

  28. Gregory, R. W. and Paidoussis, M. P., ‘Unstable Oscillation of Tubular Cantilevers Conveying Fluid. I. Theory. II. Experiments’. Proc. of the Royal Society A 293, pp. 512–527, 528–542, 1966.

    Article  Google Scholar 

  29. Paidoussis, M. P. and Issid, N. T., ‘Dynamic Instability of Pipes Conveying Fluid’, J. Sound and Vibration, Vol. 33, No. 3, pp. 267–294, 1974.

    Article  Google Scholar 

  30. Chen, S. S., Vibration of Nuclear Fuel Bundles, Nuclear Engineering Design, Vol. 35, pp. 399–422, 1975.

    Article  Google Scholar 

  31. Dowell, E. H., Aeroelasiticty of Plates and Shells, Noordhoff International Publishing, Leyden, The Netherlands, 1974.

    Google Scholar 

  32. Bolotin, V. V., Non-conservative Problems of the Elastic Theory of Stability, Pergamon Press, 1963.

    Google Scholar 

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Dowell, E.H., Curtiss, H.C., Scanlan, R.H., Sisto, F. (1989). Dynamic aeroelasticity. In: Dowell, E.H., Curtiss, H.C., Scanlan, R.H., Sisto, F. (eds) A modern course in aeroelasticity. Mechanics: Dynamical Systems, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7858-5_3

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  • DOI: https://doi.org/10.1007/978-94-015-7858-5_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-0185-1

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