Abstract
The bi-orthogonality 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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This work was supported in part by N.R.C. grant No. A9117, while the author was visiting the University of British Columbia, Vancouver B.C. Canada.
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Gregory, R.D. A note on bi-orthogonality relations for elastic cylinders of general cross section. J Elasticity 13, 351–355 (1983). https://doi.org/10.1007/BF00043002
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DOI: https://doi.org/10.1007/BF00043002