Electro-magnetic potential effects on free vibration of rotating circular cylindrical shells of functionally graded materials with laminated composite core and piezo electro-magnetic two face sheets

Abstract

In this study, the effect of electric and magnetic potential on the free vibration of rotating circular cylindrical shell of functionally graded piezo electromagnetic composed with fiber reinforced polymers has been investigated. The laminated fiber reinforced polymer is in the core and is supported with the functionally graded material layer on the both sides, and two piezoelectric layers are mounted on the outside and inside of the cylindrical shells. Relationships between strain and displacement are expressed based on Love’s first approximation shell theory. Then according to Hamilton’s principle, the governing equations for the cylindrical shell are extracted. Also, the Navier’s solution is used to solve the equations of the cylindrical shell for the simply–simply supported boundary conditions. The numerical results of the analytical solution for the rotating functionally graded piezoelectric–fiber reinforced polymer cylindrical shells based on the effect of magnetic and electric potential, axial and circumferential wave number and speed rotation are obtained. These results are compared with other research and demonstrated a good agreement.