Three-Dimensional Dynamic Analysis of Layered Elastic Shells

Aghalovyan, L. A.; Ghulghazaryan, L. G.; Kaplunov, J. D.; Prikazchikov, D. A.

Abstract

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.

Citation

Aghalovyan, L. A., Ghulghazaryan, L. G., Kaplunov, J. D., & Prikazchikov, D. A. (2023). Three-Dimensional Dynamic Analysis of Layered Elastic Shells. Journal of Mathematical Sciences, 273(6), 999-1015. https://doi.org/10.1007/s10958-023-06560-5

• Journal Article Type: Article
• Acceptance Date: Jul 14, 2023
• Online Publication Date: Jul 14, 2023
• Publication Date: 2023-07
• Deposit Date: Jan 30, 2024
• Journal: Journal of Mathematical Sciences
• Print ISSN: 1072-3374
• Electronic ISSN: 1573-8795
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 273
• Issue: 6
• Pages: 999-1015
• DOI: https://doi.org/10.1007/s10958-023-06560-5
• Keywords: Applied Mathematics; General Mathematics; Statistics and Probability
• Publisher URL: https://link.springer.com/article/10.1007/s10958-023-06560-5
• Additional Information: Received: 15 December 2020; First Online: 14 July 2023