The results of a parametric study of the vibration behavior of flat an
d shallow curved panels subjected to temperature fields and mechanical
loads are presented, The mechanical loads include uniform axial-compr
ession prebuckling loads and transverse lateral pressure. The temperat
ure fields include spatially nonuniform heating over the panel surface
s and a linear through-the-thickness temperature gradient. The structu
ral analysis used for the study is based on a higher order transverse-
shear-deformation shallow-shell theory that includes the effects of ge
ometric nonlinearities and initial geometric imperfections. Analytical
results are presented for simply supported single-layer and three-lay
er panels made from transversely isotropic materials. The results iden
tify the interaction of the applied thermal and mechanical loads with
the fundamental frequencies in both the prebuckling and postbuckling e
quilibrium states. The results indicate that initial geometric imperfe
ctions, transverse-shear flexibility, and changes in curvature are imp
ortant contributors to the response of a panel for a wide range of str
uctural and loading parameters.