ABSTRACT
A completely new set of uncoupled differential equations is derived which governs the nonlinear vibration and stability of an elastic, unsymmetrical doubly curved sandwich shell with orthotropic core. The face sheets may be of unequal thickness and of different materials. It is assumed that the radii of curvature of an element is large compared to the overall thickness of the sandwich shell. From the governing equation, the stability criterion of a shallow sandwich shell has been deduced to determine the upper and lower critical loads. The equation for free vibration of the shell under dynamical loading is obtained forming the Lagrangian function and then applying Hamilton’s principle. This new and simple approach used in the present analysis can be applied for the movable as well as immovable edge conditions to determine the linear and nonlinear frequencies. Numerical results of rectangular sandwich cylindrical shell under dynamical loading have been computed and compared with other known results.
