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

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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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Authors and Affiliations

  1. Department of Materials, University of Manchester, M13 9PL, Manchester, England

    R. D. Gregory

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  1. R. D. Gregory
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Additional information

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

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