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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

Bending waves in shells


Author: C. R. Steele
Journal: Quart. Appl. Math. 34 (1977), 385-392
MSC: Primary 73.49
DOI: https://doi.org/10.1090/qam/455740
MathSciNet review: 455740
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    O. A. Germogenova, Geometrical theory for flexural waves in shells, J. Acoust. Soc. Amer. 53, 535–540 (1973) W. D. Hayes, Kinematic wave theory, Proc. Roy. Soc. A320, 209–226 (1970) T. R. Logan, Asymptotic solutions for shells with general boundary curves, Quart,. Appl. Math. 31, 93–114 (1973) P. M. Naghdi, The theory of shells and plates, in Handbuch der Physik VIa/2, Springer, Berlin, 1972 S. G. Prat, An asymptotic fundamental solution for thin elastic shell equations, Ph.D. thesis, Stanford University, 1972 G. V. Ranjan and C. R. Steele, Analysis of torispherical pressure vessels, J. Eng. Mech. Div. ASCE 102 EM4, 643-657 (1976) E. W. Ross, Jr., Transition solutions for axisymmetric shell vibrations, J. Math. Phys. 45, 335–355 (1966)
  • C. R. Steele, A geometric optics solution for the thin shell equation, Internat. J. Engrg. Sci. 9 (1971), 681–704 (English, with French, German, Italian and Russian summaries). MR 0302022, DOI https://doi.org/10.1016/0020-7225%2871%2990087-5
  • C. R. Steele, An asymptotic fundamental solution of the reduced wave equation on a surface, Quart. Appl. Math. 29 (1971/72), 509–524. MR 408397, DOI https://doi.org/10.1090/S0033-569X-1972-0408397-X
  • G. B. Whitham, Linear and nonlinear waves, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. Pure and Applied Mathematics. MR 0483954

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Article copyright: © Copyright 1977 American Mathematical Society