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

IF 0.5 4区工程技术 Q4 MECHANICS

Journal of Applied Mechanics and Technical Physics Pub Date : 2024-06-25 DOI:10.1134/s0021894424020147

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

引用次数: 0

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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流体负载弹性环面一致薄壳方程的渐近推导

本文重新探讨了流体载荷圆柱弹性壳的经典时谐平面应变问题。介绍了低频渐近分析的结果，包括特征频率的明确公式。提出了半膜壳理论的改进版。结果表明，壳体惯性对最低特征频率的影响不大。同时还证明了环应力分量具有抛物线线性变化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied Mechanics and Technical Physics 物理-力学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.