Expanding axial wave on a submerged cylindrical shell
Authors:
Tsun C. Fang and Jerome M. Klosner
Journal:
Quart. Appl. Math. 28 (1970), 355-376
DOI:
https://doi.org/10.1090/qam/99786
MathSciNet review:
QAM99786
Full-text PDF Free Access
Abstract |
References |
Additional Information
Abstract: A double transform method is used to determine the response of a submerged, infinitely long, circular cylindrical shell to a plane acoustic wave which acts initially at an isolated cross section, and then proceeds to propagate along the axis of the cylinder, symmetrically with respect to that cross section.
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R. D. Mindlin and H. H. Bleich, Response of an elastic cylindrical shell to a transverse, step shock wave, J. Appl. Mech. 20, 189β195 (1953)
M. L. Baron, The response of a cylindrical shell to a transverse shock wave, Proc. Second U.S. National Congress of Applied Mechanics, 1954, pp. 201β212
J. H. Haywood, Response of an elastic cylindrical shell to a pressure pulse, Quart. J. Mech. Appl. Math. 11, 129β141 (1958)
H. Herman and J. M. Klosner, Transient response of a periodically supported cylindrical shell immersed in a fluid medium, J. Appl. Mech. Ser. E 32, 562β568 (1965)
J. W. Berglund and J. M. Klosner, Interaction of a ring-reinforced shell and a fluid medium, J. Appl. Mech. Ser. E 35, 139β147 (1968)
G. F. Carrier, The response of a submerged cylindrical shell to an axially propagating acoustic wave, Contract N7 ONr-35810, no. B 11-19/7, Brown University, Providence, R.I., 1953
F. Herrmann and J. E. Russell, Forced motions of shells and plates surrounded by an acoustic fluid, Proc. Sympos. Theory of Shells in Honor of Lloyd Hamilton Donnell, University of Houston, Houston, Texas, 1967, pp. 311β339
A. ErdΓ©lyi, A symptotic expansions, Dover, New York, 1956
G. F. Carrier, M. Krook and C. E. Pearson, Functions of a complex variable, McGraw-Hill, New York, 1966
H. Jeffreys and B. S. Jeffreys, Methods of mathematical physics, 2nd ed., Cambridge Univ. Press, London, 1950
M. V. Cerrillo, Elementary introduction to the theory of saddlepoint method of integration, Research Lab. Electronics, Techn. Report no. 55:2a (1950) M.I.T., Cambridge, Mass., 1954
T. C. Fang and J. M. Klosner, Expanding axial wave on a submerged cylindrical shell, Polytechnic Institute of Brooklyn, PIBAL Report no. 69-2, January 1969
P. M. Morse and H. Feshbach, Methods of theoretical physics, McGraw-Hill, New York, 1961
M. Abramowitz and I. A. Stegun (Editors), Handbook of mathematical functions, with formulas, graphs and mathematical tables, Nat. Bur. Standards Appl. Math. Series, 55, Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964; 3rd printing, with corrections, 1965
R. Folk, G. Fox, C.A. Shook and C. W. Curtis, Elastic strain produced by sudden application of pressure to one end of a cylindrical bar. I: Theory, J. Acoust. Soc. Amer. 30, 552β558 (1958)
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Article copyright:
© Copyright 1970
American Mathematical Society