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- W1985887811 abstract "Abstract Homogeneous problems of the natural oscillations of bounded electroelastic solids, in contact with rigid plane punches and coated with a system of open- and short-circuited electrodes, are considered. A variational principle is constructed which has the properties of minimality, similar to the well-known variational principle [t] for problems with only short-circuited electrodes. The discreteness of the spectrum and the completeness of the eigenfunctions are proved. As a consequence of variational principles, the properties of an increase or a decrease in the natural frequencies when the mechanical and electrical boundary conditions and the moduli of the electroelastic solid change are established. It is noted that changes in the mechanical and electrical parameters cause opposite changes in the natural frequencies. A confirmation of the fact that, for an electroelastic solid with a multi-electrode coating, the natural frequencies for short-circuited electrodes (the electric resonance frequencies) do not exceed the corresponding frequencies for open-circuited electrodes (the antiresonance frequencies) is obtained as a special case of one of the theorems proved." @default.
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- W1985887811 date "1996-01-01" @default.
- W1985887811 modified "2023-09-24" @default.
- W1985887811 title "Some properties of the natural frequencies of electroelastic bodies of bounded dimensions" @default.
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- W1985887811 doi "https://doi.org/10.1016/0021-8928(96)00019-6" @default.
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