Vibration characteristics of smart laminated carbon nanotube-reinforced composite cylindrical shells resting on elastic foundations with open circuit

This study analyzes the vibration of smart laminated carbon nanotube (CNT)-reinforced composite cylindrical shells integrated with piezoelectric materials and resting on elastic foundations. The effect of open circuit electrical boundary condition on vibration characteristics is investigated when a quadratic variation is consid-ered for the electrical potential. Furthermore, the elastic foundations are included in the mathematical modeling to see their effects when the open circuit electrical boundary condition is applied. The first-order shear defor-mation shell theory and Maxwell's static electricity equation are employed to derive the governing equations, and natural frequencies are calculated by solving an eigenvalue problem. Vibration characteristics with the open circuit electrical boundary condition are compared with those of closed (short) circuit electrical boundary condition for various mechanical boundary conditions and shell and piezoelectric geometrical parameters. The results demonstrate that the open circuit electrical boundary condition leads to higher frequencies than the closed circuit condition and it must be noticed in the design of smart composite structures with embedded or surface-bonded piezoelectric materials.

Automated summary

This study examines the vibration characteristics of smart laminated carbon nanotube (CNT)-reinforced composite cylindrical shells integrated with piezoelectric materials on elastic foundations. The effects of open circuit electrical boundary condition and quadratic variation of electrical potential on vibration characteristics are investigated. The results show that the open circuit condition leads to higher frequencies compared to the closed circuit condition, which is important to consider in the design of smart composite structures with embedded or surface-bonded piezoelectric materials.