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

被引：2
|
作者：
Yucel, H. [1 ]
Kaplunov, J. [2 ]
Ege, N. [3 ]
Erbas, B. [3 ]
机构：
[1] Baskent Univ, Dept Comp Engn, Baglica Campus, TR-06790 Ankara, Turkiye
[2] Keele Univ, Sch Comp & Math, Keele ST5 5BG, Staffs, England
[3] Eskisehir Tech Univ, Dept Math, Yunus Emre Campus, TR-26470 Eskisehir, Turkiye
来源：
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2024年 / 65卷 / 02期
关键词：
semi-membrane shell theory; plane strain; eigenfrequencies; asymptotic analysis;
D O I：
10.1134/S0021894424020147
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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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页码：324 / 335
页数：12
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