Free Vibration of Smart Carbon Nanotube Reinforced Composite Skew Panels with Variable Radius of Curvature

摘要

Free vibration analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) skew panels with surface-bonded piezoelectric layers is developed. First-order shear deformation theory is used to model the displacement fields of skew panels with variable radius of curvature. Hamilton’s principle and Maxwell’s equation are applied to drive the differential governing equations and the related boundary conditions. The transformed differential quadrature (TDQ) method for the case of skew panels with variable radius of curvature is established to discretize the governing partial differential equations. The accuracy and reliability of the proposed method are verified by comparing the results with the existing reference solutions. The effects of CNTs volume fractions, CNTs distributions through the thickness, and various panel geometrical parameters such as the panel thickness, piezoelectric thickness, and skew angle on the natural frequency parameter are demonstrated.