Abstract
In this paper, the dynamic instability of a simple supported, finite-length, laminated circular cylindrical shells subjected to parametric excitation by axial loading and covered by piezoelectric materials is presented analytically. The shell is taken to be orthotropic and could be oriented at angles of 0° and 90° (cross-ply) or at + θ and − θ (angle-ply) with respect to the shell axis. The effect of transverse shear deformation on dynamic behavior of structures has been studied, and the theory used is a general first-order shear deformation shell theory. Unimodal approximation of solution is adopted, and several mode shapes are selected to explain the effects of the piezoelectricity of materials, as well as the effects of the geometric parameters on instability regions.
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