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A note on bi-orthogonality relations for elastic cylinders of general cross section

✍ Scribed by R. D. Gregory

Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
199 KB
Volume
13
Category
Article
ISSN
0374-3535

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✦ Synopsis

The bi-orthogonafity relation satisfied by the elastodynamic (or elastostatic) eigenfunctions of a cylindrical rod of general cross section is obtained by a simple argument. The relation is shown to depend only upon (i) the elastic reciprocal theorem, and (ii) the elastic symmetry of the cylinder in planes perpendicular to its generators.

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