Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Generalized aerodynamic forces on an oscillating cylindrical shell

Authors: Earl H. Dowell and Sheila E. Widnall
Journal: Quart. Appl. Math. 24 (1966), 1-17
DOI: https://doi.org/10.1090/qam/99934
MathSciNet review: QAM99934
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Abstract | References | Additional Information

Abstract: The present paper presents a mathematical and numerical solution for the problem of determining the aerodynamic forces on a harmonically oscillating cylindrical shell at supersonic speeds within the framework of the classical, linearized, potential flow theory. The method of solution is given in detail and extensive numerical results are presented to indicate the nature of the aerodynamic forces. Comparisons of the present results are made with those of simpler, but more approximate theories, such as the quasi-steady, two-dimensional theory and a (generalized) ``slender-body'' theory, to indicate where these may be used with confidence.

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  • [1] Maurice Holt and Sainsbury L. Strack, Supersonic panel flutter of a cylindrical shell of finite length, J. Aerospace Sci. 28 (1961), 197–208. MR 0118072
  • [2] R. Stearman, Research on panel flutter of cylindrical shells, Midwest Research Institute, AFOSR Report 64-0074, January, 1964
  • [3] D. G. Randall, Supersonic flow past quasi-cylindrical bodies of almost circular cross-section, ARC R. and M. No. 3067, 1958
  • [4] Zbigniew Dżygadło, Self-excited vibration of a cylindrical shell of finite length in supersonic flow, Proc. Vibration Problems 3 (1962), 69–88 (English, with Polish and Russian summaries). MR 0151082
  • [5] Yudell L. Luke, Approximate inversion of a class of Laplace transforms applicable to supersonic flow problems, Quart. J. Mech. Appl. Math. 17 (1964), 91–103. MR 0162461, https://doi.org/10.1093/qjmam/17.1.91
  • [6] Jerzy Niesytto and Zbigniew Sęp, The vibration of a cylindrical shell of finite length with a supersonic inside flow, Proc. Vibration Problems 2 (1961), 251–264 (English, with Polish and Russian summaries). MR 0136158
  • [7] J. W. Miles, On a reciprocity condition for supersonic flutter, J. of the Aeronautical Sci. 24 (1957) 920
  • [8] John W. Miles, Supersonic flutter of a cylindrical shell, J. Aero. Sci. 24 (1957), 107–118. MR 0084286
  • [9] R. Stearman, Small aspect ratio membrane flutter, AFOSR TR 59-45, Guggenheim Aeronautical Laboratory, Calif. Inst, of Tech., 1959
  • [10] Earl H. Dowell, The flutter of an infinitely long cylindrical shell, Aerolastic and Structures Laboratory, M. I. T., ASRL TR 112-3, Also AFOSR 65-0639, January, 1965
  • [11] G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110

Additional Information

DOI: https://doi.org/10.1090/qam/99934
Article copyright: © Copyright 1966 American Mathematical Society

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