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Online ISSN 1552-4485; Print ISSN 0033-569X
Exact solution of the equations for shallow shells of revolution
Author:
Thomas J. Lardner
Journal:
Quart. Appl. Math. 26 (1968), 445-450
DOI:
https://doi.org/10.1090/qam/99842
MathSciNet review:
QAM99842
Full-text PDF Free Access
References | Additional Information
- E. Reissner, On some problems in a shell theory, Structural mechanics, Pergamon Press, New York, 1960, pp. 74–114. MR 0129205
- Eric Reissner, On the determination of stresses and displacements for unsymmetrical deformations of shallow spherical shells, J. Math. and Phys. 38 (1959/60), 16–35. MR 105223, DOI https://doi.org/10.1002/sapm195938116 V. Z. Vlasov, General theory of shells and its applications in engineering. English translation NASA TT f-99 April 1964 of Russian edition 1949
- Malcolm Douglas McIlroy, SOLUTION OF THE DIFFERENTIAL EQUATIONS OF CONICAL SHELLS, ProQuest LLC, Ann Arbor, MI, 1959. Thesis (Ph.D.)–Massachusetts Institute of Technology. MR 2939085
- M. D. McIlroy, Linear deformations of conical shells, J. Aero/Space Sci. 26 (1959), 253–254. MR 102956
- Thomas J. Lardner, On the strss distribution in a shallow logarithmic shell of revolution, J. Math. and Phys. 45 (1966), 23–34. MR 191176 C. C. Meijer, On the G-function, Nederl. Akad. Wetensh., Proc. 49, 227–237, 344–456, 457–469, 632–641, 765–772, 936–943, 1063–1072, 1165–1175 (1946) A. Erdelyi et al., Higher transcendental functions 1, McGraw-Hill, New York, 1953
- Eric Reissner, On asymptotic solutions for nonsymmetric deformations of shallow shells of revolution, Internat. J. Engrg. Sci. 2 (1964), 27–43 (English, with French, German, Italian and Russian summaries). MR 0172522, DOI https://doi.org/10.1016/0020-7225%2864%2990009-6 H. D. Conway and K. A. Farnham, Anticlastic curvature of strips of variable thickness, Int. J. Mech. Sci. 7, 451–458 (1965)
Additional Information
Article copyright:
© Copyright 1968
American Mathematical Society