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Eigenfunctions for the symmetrical deformations of a cylinder whose plane faces are stress-free

Published online by Cambridge University Press:  26 February 2010

Vasantha Kolathaya  and
B. S. Ramachandra Rao
Vasantha Kolathaya
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay, India.
B. S. Ramachandra Rao
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay, India.
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Summary

We present here the eigenfunction expansions of the bi-harmonic Love strain function for a cylinder whose plane faces are stress-free. The convergence for the expansions of arbitrary functions in terms of these eigenfunctions is studied. As an example, the symmetrical deformations in a cylinder whose plane faces are stress-free and on whose curved edge arbitrary radial displacement and transverse shear force are prescribed is worked out.

Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 225 - 230
Copyright
Copyright © University College London 1969

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