Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



The buckling of a free edge of an axially-compressed circular cylindrical shell

Authors: W. Nachbar and N. J. Hoff
Journal: Quart. Appl. Math. 20 (1962), 267-277
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/140215
MathSciNet review: 140215
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  • [1] Y. C. Fung and E. E. Sechler, Instability of thin elastic shells, Structural mechanics, Pergamon Press, New York, 1960, pp. 115–168. MR 0136149
  • [2] N. J. Hoff, Buckling of thin shells, Von Kármán 80th Anniversary Lecture, May 11, 1961, to be published by the Institute of the Aerospace Sciences; see also SUDAER No. 114, Department of Aeronautical Engineering, Stanford University, 1961
  • [3] L. H. Donnell, A new theory for the buckling of thin cylinders under axial compression and bending, Trans. A. S. M. E., 56, (1934) 795-806
  • [4] W. Nachbar, Discontinuity stresses in pressurized thin shells of revolution Report LMSD-48483, Lockheed Missiles and Space Division, Sunnyvale, California, 1959
  • [5] S. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells, second edition, McGraw-Hill, New York, 1959, pp. 432, 508, 512, 518, 523
  • [6] A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851
  • [7] W. Nachbar, Characteristic roots for Donnell's equations with uniform axial prestress, SUDAER No. 108, Department of Aeronautical Engineering, Stanford University, July 1961, to be published in the Journal of Applied Mechanics
  • [8] W. Nachbar and N. J. Hoff, On edge buckling of axially-compressed, circular cylindrical shells, SUDAER No. 115, Department of Aeronautical Engineering, Stanford University, November 1961

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DOI: https://doi.org/10.1090/qam/140215
Article copyright: © Copyright 1962 American Mathematical Society

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