Thin cylindrical shells subjected to concentrated loads
Author:
Shao Wen Yuan
Journal:
Quart. Appl. Math. 4 (1946), 13-26
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/16031
MathSciNet review:
16031
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A. E. H. Love, The mathematical theory of elasticity, Cambridge University Press, Cambridge, 1927, pp. 515–536, 565–575.
T. von Kármán and M. A. Biot, Mathematical methods in engineering, McGraw-Hill Book Co., New York, 1940, ch. 8.
- E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions; Reprint of the fourth (1927) edition. MR 1424469
S. Timoshenko, Theory of elasticity, McGraw-Hill Book Co., New York, 1934, ch. 2.
S. Timoshenko, Theory of plates and shells, McGraw-Hill Book Co., New York, 1940, ch. 11.
L. H. Donnell, Stability of thin-walled tubes under torsion, N.A.C.A. Report No. 479, 1933, p. 12.
L. H. Donnell, A discussion of thin shell theory, Proc. 5th Internat. Cong. Appl. Mech., Cambridge, Mass. 1938, pp. 66–70.
- Eric Reissner, A new derivation of the equations for the deformation of elastic shells, Amer. J. Math. 63 (1941), 177–184. MR 3790, DOI https://doi.org/10.2307/2371288
K. Meisel, Über die Festigkeit von Kreiszylinderschalen mit nicht-achsensymmetrischer Belastung, Ing.-Arch. 1, 29 (1929).
H. S. Carslaw, Theory of Fourier series and integrals, Macmillan, London, ed. 2, 1921.
A. E. H. Love, The mathematical theory of elasticity, Cambridge University Press, Cambridge, 1927, pp. 515–536, 565–575.
T. von Kármán and M. A. Biot, Mathematical methods in engineering, McGraw-Hill Book Co., New York, 1940, ch. 8.
E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge University Press, Cambridge, ed. 4, 1927, ch. 6.
S. Timoshenko, Theory of elasticity, McGraw-Hill Book Co., New York, 1934, ch. 2.
S. Timoshenko, Theory of plates and shells, McGraw-Hill Book Co., New York, 1940, ch. 11.
L. H. Donnell, Stability of thin-walled tubes under torsion, N.A.C.A. Report No. 479, 1933, p. 12.
L. H. Donnell, A discussion of thin shell theory, Proc. 5th Internat. Cong. Appl. Mech., Cambridge, Mass. 1938, pp. 66–70.
E. Reissner, A new derivation of the equations for the deformation of an elastic shell, Amer. T. Math. 63, 177–184 (1941).
K. Meisel, Über die Festigkeit von Kreiszylinderschalen mit nicht-achsensymmetrischer Belastung, Ing.-Arch. 1, 29 (1929).
H. S. Carslaw, Theory of Fourier series and integrals, Macmillan, London, ed. 2, 1921.
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Article copyright:
© Copyright 1946
American Mathematical Society
