Three dimensional analysis of the dynamic stability of piezoelectric circular cylindrical shells

Based on a three-dimensional theory, a set of Mathieu–Hill equations have been derived for the dynamic stability analysis of piezoelectric circular cylindrical shells subjected to combined periodic axial compression and radial electric field loading. Bolotin's method is employed to determine the dynamic instability regions. Obtained results show that both the piezoelectric effect and the electric field only have minor effect on the unstable region. On the contrary, the geometric parameters, the rigidity of constituent materials and the external loading play dominating role in the dynamic stability of piezoelectric shells.