Abstract
The aim of the paper consists in the application of the classical methods of eigenfunctions to the spatial problems of elasticity and the coupled problems of electro-elastic vibrations of piezoceramic bodies. The eigenfunction expansions have been presented in the following cases: a sphere, a layer in Cartesian and parabolic coordinates, a circular cylinder and a cone, a paraboloid on revolution, an elongated paraboloid of revolution, a wedge, and the problems concerning finite regions.References
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G. LAME, Lecons sur les coordonnees curvillgnes et leurs diverses applications, Paris 1859.
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W. W. HANSEN, Transformation useful in certain ante1tna calculations, J. Appl. Phys., 8, 4, 1937.
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G. LAME, Lecons sur la theorie mathematique de l'elasticite des corps solides, Paris 1866.
E. MATHIE, L'elasticite des corps solides, Paris 1890.
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2. [in Russian]
3. [in Russian]
4. [in Russian]
5. [in Russian]
6. [in Russian]
7. [in Russian]
8. [in Russian]
G. LAME, Lecons sur les coordonnees curvillgnes et leurs diverses applications, Paris 1859.
10. [in Russian]
11. [in Russian]
W. W. HANSEN, Transformation useful in certain ante1tna calculations, J. Appl. Phys., 8, 4, 1937.
13. [in Russian]
14. [in Russian]
15. [in Russian]
16. [in Russian]
17. [in Russian]
G. LAME, Lecons sur la theorie mathematique de l'elasticite des corps solides, Paris 1866.
E. MATHIE, L'elasticite des corps solides, Paris 1890.
20. [in Russian]
21. [in Russian]
22. [in Russian]
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