Axisymmetric vibration of continuous shallow spherical shells

The axisymmetric vibration of shallow spells supported along the outer periphery r = a and along an intermediate circle of radius r = b is considered. Shear deformation effects are included in the differential equations. This makes the analysis of higher modes more meaningful. Results are presented for three cases: (a) fixed edge condition at r = a; (b) simply supported condition at r = a; (c) free edge condition at r = a.