A study on the effect of electric potential on vibration of smart nanocomposite cylindrical shells with closed circuit

A vibration analysis of smart laminated carbon nanotube-reinforced composite cylindrical shells bonded by a piezoelectric layer with closed circuit is presented. A solution for different distributions of electric potential along the thickness direction of the piezoelectric layer satisfying the closed circuit electrical boundary condition is developed for the first time. The micromechanics and macromechanics models and solution for the vibration analysis of piezoelectric coupled laminated carbon nanotube-reinforced composite cylindrical shells are then established based on different electric potential distributions (i.e. linear, quadratic, and cosine), the Mori- Tanaka model, the first-order shear deformation shell theory, and the Maxwell's static electricity equation. Natural frequencies for various vibration modes are computed with different electric potential distributions and the effects of mechanical boundary conditions, piezoelectric thickness, nanoparticles, and shell geometry. The numerical results indicate that linear variation of the electric potential provides higher estimate of natural frequencies and quadratic and cosine variations lead to similar vibration trends and results.