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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(1):45-62; doi:10.1093/qjmam/10.1.45
© 1957 by Oxford University Press
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THE LAUNCHING AND PROPAGATION OF ELASTIC WAVES IN PLATES

H. PURSEY

( National Physical Laboratory Teddington, Middlesex )

Integral representations are derived for the displacement at an arbitrary point in an isotropic plate due to a stress distribution on the free surfaces which varies sinusoidally with time. It is shown that evaluation of the integrals leads to secular equations identical with those originally obtained by Lamb, and the solutions of these equations have been investigated for the symmetric and antisymmetric wave types in plates up to 8/{pi} compressional wavelengths thick. New tables of solutions are provided for the two principal waves and graphical representations of the solutions corresponding to complementary waves are given in Figs. 1–6. Difficulties which arise in the use of Lamb's tables have been avoided by the method of normalization adopted in the present paper.

Formulae are derived from which the amplitude and group velocity of a given wave may be calculated, and their application is illustrated by means of a worked example.


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