The free vibration analysis of composite shallow conical shells, incor
porating the effects of pretwist, is presented. The analysis focuses o
n shells made of symmetrically and unsymmetrically Laminated E-glass/e
poxy with four and eight-ply laminates. This method is valid, however,
for any other composite with an arbitrary number of layers and fiber
orientation. An extremum energy principle is employed to derive the ei
genvalue equation, and a flexible, global admissible function is devel
oped to account for the geometric boundary conditions. New vibration f
requency parameters and mode shapes are presented.