ESDU 81018:2012

$62.40

Natural Frequencies of Thick-Walled Isotropic Circular-Cylindrical Shells (Shear Diaphragm End Conditions)

Published By	Publication Date	Number of Pages
ESDU	2012-12	38

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Description

ESDU 81018 provides graphical data and a computer program for
the estimation of the lower natural frequencies of thick-walled
isotropic, circular cylinders based on the three-dimensional theory
of elasticity for hollow cylinders. The data on both flexural and
torsional vibrations are applicable to initially unstressed,
isotropic shells having shear diaphragm end conditions. The
geometric parameters and mode numbers for which the differences
between natural frequency given by the three-dimensional elastic
theory and thin-shell theory are more than 1 per cent and 5 per
cent are indicated. General information is given on the flexural
and torsional modes of free vibration of thick-walled shells. The
thickness modes, which are not included in the model when shells
are modelled as thin-walled, are discussed. The variations of
displacements and stresses through the wall thickness, obtained
using the computer program provided, are discussed and the effects
of Poisson's ratio on the natural frequencies are considered. To
give guidance on the desirability of modelling shells as either
thin-walled or thick-walled, the range of applicability of
thin-shell theories is discussed and specific information is given
for a wide range of shell geometries. A worked example, which
illustrates the application of these data, is given as well as the
computer output for this example. The program is available as
ESDUpac A8118.