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The Fourier transform solution of an elastic wave equation

Published online by Cambridge University Press:  24 October 2008

Ian N. Sneddon
Ian N. Sneddon
Affiliation:
The Branch for Theoretical ResearchArmament Research DepartmentMinistry of Supply
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Extract

1. In a recent paper(1) the partial differential equation governing the symmetrical vibrations of a thin elastic plate was reduced to an ordinary differential equation by the use of the Hankel transform method. By the discussion of the solutions of the latter equation and by the use of the Hankel inversion theorem an account was given of the free and forced vibrations of the plate under symmetrical conditions.

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 41 , Issue 3 , November 1945 , pp. 239 - 243
Copyright
Copyright © Cambridge Philosophical Society 1945

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References

REFERENCES

(1)Sneddon, I. N.Proc. Cambridge Phil. Soc. 41 (1945), 27.Google Scholar
(2)Heins, A. E.J. Math. Phys. 14 (1935), 137.Google Scholar
(3)Love, A. E. H.The mathematical theory of elasticity, 4th ed. (Cambridge, 1934), p. 496.Google Scholar
(4)Bôchner, S.Vorlesungen über Fouriersche Integrale (Leipzig, 1932).Google Scholar
(5)Sneddon, I. N. Op. cit., equation (15).Google Scholar
(6)Boussinesq, J.Applications des potentiels.… (Paris, 1885), p. 470.Google Scholar