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Three-dimensional problems of steady vibrations of isotropic plates

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Abstract

Using the symbolic method of homogeneous solutions, we study problems of steady vibrations of isotropic plates. On the planar faces of the plate we state various kinds of homogeneous boundary conditions. We obtain the homogeneous solutions of the equations of motion and construct the dispersion equations. We carry out numerical analyses of the dispersion equations for a plate with clamped and planar faces. Four figures. Bibliography: 8 titles.

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Literature Cited

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Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 13–19.

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Altukhov, E.V., Mysovskii, Y.V. & Panchenko, Y.V. Three-dimensional problems of steady vibrations of isotropic plates. J Math Sci 86, 3095–3098 (1997). https://doi.org/10.1007/BF02355703

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  • DOI: https://doi.org/10.1007/BF02355703

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