Sk. Wong et Ky. Sze, APPLICATION OF MATCHED ASYMPTOTIC EXPANSIONS TO THE FREE-VIBRATION OFA HERMETIC SHELL, Journal of sound and vibration, 209(4), 1998, pp. 593-607
The low frequency branch of the torsion free axisymmetric modes of thi
n cylindrical shell with hemispherical caps vibrating in vacuo is inve
stigated using membrane approximation. The joint conditions needed at
the seams are derived by taking the effect of bending into account in
narrow bending layers, using the method of marched asymptotic expansio
ns. A closed form equation is obtained for the normal frequencies. The
mode structure exhibits finite jumps in the normal displacement acros
s the seams, which are smoothed over in the bending layers. The normal
frequencies are obtained numerically for general shapes and approxima
tely for elongated shapes. Comparisons with the finite element method
shows good agreement. (C) 1998 Academic Press Limited.