The dynamic stability of simply-supported, isotropic cylindrical panels und
er combined static and periodic axial forces are investigated. An extension
of Donnell's shell theory to a first-order shear deformation theory is use
d, and a system of Mathieu-Hill equations are obtained via a normal-mode ex
pansion, and the parametric resonance response was analyzed using Bolotin's
method. Results are compared with those obtained using the classical shell
theory. The effects of the thickness-to-radius ratio on the instability re
gions are examined in detail. (C) 1999 Elsevier Science Ltd. All rights res
erved.