Dynamic stability analysis of cross-ply laminated cylindrical shells usingdifferent thin shell theories

The dynamic stability of thin, laminated cylindrical shells under combined static and periodic axial forces is studied here using three common thin sh ell theories, namely Donnell's, Love's and Flugge's shell theories. A norma l-mode expansion of the equations of motion yields a system of Mathieu-Hill equations the stability of which is examined using Bolotin's method. The p resent study examines and compares the effects of the use of the various sh ell theories on the dynamic stability analysis.