Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT

In this paper, free vibration analysis of magneto-electro-elastic (MEE) cylindrical composite panel reinforced by various distributions of carbon nanotubes (CNTs) considering open and closed circuits boundary conditions based on the first order shear deformation theory (FSDT) is carried out. Carbon nanotubes (CNTs) in Poly-vinylidene fluoride (PVDF) matrix are arranged and different distribution patterns of CNTs including uniform distribution (UD), FG-V, FG-A, FG-X and FG-O are employed. The Young’s and shear moduli are obtained using the extended mixture rule. Also, the material properties of magneto-electric fiber reinforced composite are estimated by mixture rule. By employing energy method and Hamilton’s principle, the equations of motion for cylindrical composite panel reinforced by CNTs are derived. In this paper, the effects of the volume fraction, various distributions of CNTs including uniform and functionally graded (FG) distributions, angle orientation, two elastic foundation parameters, aspect ratio (length-to-thickness ratio), radius-to-thickness ratio, and the multi-physical fields with open and closed circuits boundary conditions on the natural frequency of MEE cylindrical composite panel are considered. These effects play an important role on the natural frequencies. Moreover, the numerical results of this research can be used to manufacturing process design and optimization MEE cylindrical composite panel under multi-physical fields and the previous results can be used in order to prevent the resonance phenomenon.