Asymptotic Derivation of Consistent thin Shell Equations for a Fluid-Loaded Elastic Annulus

Yücel, H.; Kaplunov, J.; Ege, N.; Erbaş, B.

Abstract

The classical time-harmonic plane strain problem for a fluid-loaded cylindrical elastic shell is revisited. The results of the low-frequency asymptotic analysis, including explicit formulae for eigenfrequencies, are presented. A refined version of the semi-membrane shell theory is formulated. It is shown that the shell inertia does not affect significantly the lowest eigenfrequencies. It is also demonstrated that the ring stress component has a parabolic linear variation.

Citation

Yücel, H., Kaplunov, J., Ege, N., & Erbaş, B. (in press). Asymptotic Derivation of Consistent thin Shell Equations for a Fluid-Loaded Elastic Annulus. Journal of Applied Mechanics and Technical Physics, https://doi.org/10.1134/s0021894424020147

• Journal Article Type: Article
• Acceptance Date: Aug 4, 2023
• Online Publication Date: Jun 25, 2024
• Deposit Date: Jul 17, 2024
• Journal: Journal of Applied Mechanics and Technical Physics
• Print ISSN: 0021-8944
• Electronic ISSN: 1573-8620
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1134/s0021894424020147
• Keywords: semi-membrane shell theory, plane strain, eigenfrequencies, asymptotic analysis
• Public URL: https://keele-repository.worktribe.com/output/876591
• Additional Information: Received: 24 May 2023; Revised: 24 May 2023; Accepted: 4 August 2023; First Online: 25 June 2024