Abstract: An analysis by the finite element method is presented for solving linear buckling probems of revolutionary thin shell. A general nonlinear strain-displacement relationship is used in the stability formulation which is based on the energy criterion. Under certain assumptions, the problem is reduced to a generalized eigenvalue problem. In the F. E, M, calculation, the coupling between harmonics is taken into consideration. The method is applied to several examples and the results are compared with the theoret...