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The subject of this investigation is to study the buckling of cross-ply laminated orthotropiccylindrical thin shells with variable elasticity moduli and densities in the thickness direction, underexternal pressure, which is a power function of time. The dynamic stability and compatibility equationsare obtained first. These equations are subsequently reduced to a system of time dependent differentialequations with variable coefficients by using Galerkins method. Finally, the critical dynamic and staticloads, the corresponding wave numbers, the dynamic factors, critical time and critical impulse are foundanalytically by applying a modified form of the Ritz type variational method. The dynamic behavior ofcross-ply laminated cylindrical shells is investigated with: a) lamina that present variations in the elasticitymoduli and densities, b) different numbers and ordering of layers, and c) external pressures which varywith different powers of time. It is concluded that all these factors contribute to appreciable effects on thecritical parameters of the problem in question.