Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9640705 | Journal of Sound and Vibration | 2005 | 15 Pages |
Abstract
Natural frequencies for moderately thick elliptic plates are calculated by perturbing initial values corresponding to the Kirchhoff classical theory of plate bending. The proposed approach utilizes a universal algebraic equation for perturbed eigenvalues, previously derived by the authors. For elliptic plates of a small eccentricity, a dual procedure is developed to evaluate the sought for natural frequencies starting from those for a circular thin plate. A comparison with finite-element computations is presented. An importance of the perturbation techniques in question for interpreting of finite-element data is emphasized.
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Authors
J.D. Kaplunov, E.V. Nolde, B.F. Shorr,