Yk. Cheung et Ym. Fu, NONLINEAR STATIC AND DYNAMIC ANALYSIS FOR LAMINATED, ANNULAR, SPHERICAL CAPS OF MODERATE THICKNESS, Nonlinear dynamics, 8(2), 1995, pp. 251-268
Based on Timoshenko-Mindlin kinematic hypothesis, the shallow shell th
eory is extended to include the transverse shear deformation for the n
onlinear axisymmetric dynamic analysis of the symmetric cross-ply shal
low spherical shell. Using the orthogonal point collocation method and
the Newmark scheme, an iterative solution is formulated. The numerica
l results for the nonlinear static and dynamic responses and dynamic b
uckling of these shallow spherical shells with circular holes under un
iformly distributed static or dynamic normal impact loads are presente
d and compared with available data.