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Vibrations of Thin Piezoelectric Flexural Shells: Two-Dimensional Approximation

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Abstract

We consider the eigenvalue problem for a thin piezoelectric shell, of thickness 2∈, clamped along a portion of its lateral surface under the geometrical assumption that the space of inextensional displacements is infinite-dimensional. We then show that the eigensolutions converge, as ∈→0, to the eigensolutions of the two-dimensional piezoelectric flexural shell.

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  1. T.I.F.R. Centre, I.I.Sc Campus, Bangalore-12, India

    N. Sabu

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  1. N. Sabu
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Sabu, N. Vibrations of Thin Piezoelectric Flexural Shells: Two-Dimensional Approximation. Journal of Elasticity 68, 145–165 (2002). https://doi.org/10.1023/A:1026074730631

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