Asymptotic Derivation of Consistent thin Shell Equations for a Fluid-Loaded Elastic Annulus
H. Yücel1, J. Kaplunov2, N. Egec3, B. Erbaş3
1Başkent University, Ankara, Türkiye
2Keele University, School of Computing and Mathematics, Keele, United Kingdom
3Eskişehir Technical University, Eskişehir, Türkiye
Keywords: semi-membrane shell theory, plane strain, eigenfrequencies, asymptotic analysis
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.
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