This paper is concerned with the free vibrations of circular cylindric
al shells with rigid intermediate supports. The simplest form of thin
shell theory according to Donnell and the reputed best first order app
roximation theory of Sanders are considered. An automated Rayleigh-Rit
z method is adopted to evaluate the natural frequencies and the mode s
hapes of the structures. A proposed unified set of Ritz functions is u
sed to span the displacement fields of various types and combinations
of end boundary conditions. Comparison and convergence studies are car
ried out to verify and establish the appropriate number of Ritz functi
ons to produce results with an acceptable order of accuracy. Shells wi
th any number of intermediate supports and any combination of end boun
dary conditions can be analyzed by the proposed method. Effects of int
ermediate supports and their locations on natural frequencies of the s
hells are studied and the results presented for easy access by design
engineers. (C) 1995 Academic Press Limited