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, Proceedings of the First Symposium on Naval Structural Mechanics, ed. by J. N. Goodier and N. J. Hoff, Pergamon Press, N. Y., 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*, fourth edition, Dover, New York, 1944, pp. 517-522 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