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: 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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R. Stearman, Research on panel flutter of cylindrical shells, Midwest Research Institute, AFOSR Report 64–0074, January, 1964
D. G. Randall, Supersonic flow past quasi-cylindrical bodies of almost circular cross-section, ARC R. and M. No. 3067, 1958
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J. W. Miles, On a reciprocity condition for supersonic flutter, J. of the Aeronautical Sci. 24 (1957) 920
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R. Stearman, Small aspect ratio membrane flutter, AFOSR TR 59–45, Guggenheim Aeronautical Laboratory, Calif. Inst, of Tech., 1959
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
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M. Holt and S. L. Strack, Supersonic panel flutter of a cylindrical shell of finite length, J. of Aerospace Sci. 28 (1961) 197–208
R. Stearman, Research on panel flutter of cylindrical shells, Midwest Research Institute, AFOSR Report 64–0074, January, 1964
D. G. Randall, Supersonic flow past quasi-cylindrical bodies of almost circular cross-section, ARC R. and M. No. 3067, 1958
Z. Dzygadlo, Self-excited vibration of a cylindrical shell of finite length in a supersonic flow, Proceedings of Vibration Problems, Polish Academy of Sciences, pp. 69–88, Vol. 3, No. 1, 1962
Y. L. Luke, Approximate inversion of a class of Laplace transforms applicable to supersonic flow problems. Quart. J. of Mech. and Applied Mathematics 17 (1964) 91–103
J. Niesytto and Z. Sep, The vibration of a cylindrical shell of finite length with a supersonic inside flow, Proceedings of Vibration Problems, Polish Academy of Sciences, pp. 251–264, Vol. 2, No. 3, 1964
J. W. Miles, On a reciprocity condition for supersonic flutter, J. of the Aeronautical Sci. 24 (1957) 920
J. W. Miles, Supersonic flutter of a cylindrical shell, Part I, J. Aerospace Soc. 24 (1957) 107–118
R. Stearman, Small aspect ratio membrane flutter, AFOSR TR 59–45, Guggenheim Aeronautical Laboratory, Calif. Inst, of Tech., 1959
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
G. N. Watson, A treatise on the theory of bessel functions, 2nd ed., pp. 511–513, Cambridge University Press, Cambridge, England, 1952
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Article copyright:
© Copyright 1966
American Mathematical Society
