Three-Dimensional Dynamic Analysis of Layered Elastic Shells

Three-dimensional dynamic problem for a layered orthotropic elastic shell with free upper face is considered. The interfaces between the layers are assumed to be in perfect contact and the displacements of one of the interfaces are prescribed. A long-wave asymptotic solution is constructed and the t...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-07, Vol.273 (6), p.999-1015
Main Authors: Aghalovyan, L. A., Ghulghazaryan, L. G., Kaplunov, J. D., Prikazchikov, D. A.
Format: Article
Language:English
Subjects:
Analysis
Asymptotic methods
Earthquakes
Elastic shells
Geophysical prediction
Mathematics
Mathematics and Statistics
Seismology
Three dimensional analysis
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Summary:Three-dimensional dynamic problem for a layered orthotropic elastic shell with free upper face is considered. The interfaces between the layers are assumed to be in perfect contact and the displacements of one of the interfaces are prescribed. A long-wave asymptotic solution is constructed and the thickness resonances are determined. The obtained results can be applied in the evaluation of some parameters of the earthquakes.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06560-5