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On the Elastic Stability of a Rectangular Plate, when Subjected to a Variable Edge Thrust

Published online by Cambridge University Press:  24 October 2008

D. M. A. Leggett
D. M. A. Leggett
Affiliation:
Trinity College[Communicated by Mr W. R. Dean]
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Extract

The stability of a rectangular plate, subjected to constant thrust over opposite pairs of edges, has been treated with some degree of completeness for various boundary conditions. The more general problem, in which the thrusts are no longer constant, has not yet received any treatment apart from the approximate method developed by E. Schwerin†, which would appear to be capable of only limited extension. The object of this paper is accordingly the detailed consideration of a simple case when the thrust is no longer constant.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 31 , Issue 3 , July 1935 , pp. 368 - 381
Copyright
Copyright © Cambridge Philosophical Society 1935

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References

page 368 note * See paper by Taylor, G. I. in Zeitschrift f. angew. Math. u. Mechanik, 13 (1933), 147.CrossRefGoogle Scholar

page 368 note † Schwerin, E., Zeitschrift f. angew. Math. u. Mechanik, 3, 422.CrossRefGoogle Scholar

page 368 note ‡ Love, A. E. H., Mathematical Theory of Elasticity (4th ed.), ch. 22.Google Scholar

page 369 note * See, for example Southwell, R. V., Phil. Trans. Roy. Soc. A, 213, 187.CrossRefGoogle Scholar

page 372 note * Whittaker, and Watson, , Modern Analysis (4th ed.), ch. 2, § 2.8.Google Scholar