ASYMPTOTIC DERIVATION OF CONSISTENT THIN SHELL EQUATIONS FOR A FLUID-LOADED ELASTIC ANNULUS
H. Yücel, Julius Kaplunov, Nihal Ege, Barış Erbaş · Journal of Applied Mechanics and Technical Physics · 2024
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.