The dynamic stability of a laminated orthotropic truncated conical shell under time dependent external pressure

Abstract

In this study, the dynamic stability of a laminated orthotropic truncated conical shell, subjected to an external pressure which is a power function of time, was considered. First, the modified Donnell-type dynamic stability and compatibility equations of a laminated orthotropic truncated conical shell, subjected to an external pressure, were obtained. Applying the Galerkin and Sachenkov and Baktieva (1978) methods one after the other, the static and dynamic critical external pressures, the pertinent wave numbers and the dynamic factor were found explicitly. Finally, carrying out some computations for cross-ply laminated truncated conical shells, the effects of the variation of the number and orientation of the layers and the power function of time in the external pressure expression on the critical parameter were studied.