END EFFECTS IN A TRUNCATED SEMI-INFINITE CONE
- 1 January 1970
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 23 (2) , 185-196
- https://doi.org/10.1093/qjmam/23.2.185
Abstract
The Papkovich-Neuber functions are used to formulate the eigenfunctions for a semi-infinite elastic cone. The decay properties in the Saint Venant boundary region are investigated by examination of the eigenvalues for different cone angles. The coefficients of the non-orthogonal eigenfunction expansion are evaluated by a least squares technique. Convergence of the expansions is numerically examined for several loading cases.Keywords
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