Vibration analysis of functionally graded thin-walled rotating blades under high temperature supersonic flow using the differential quadrature method

In this study, differential quadrature (DQ) vibration analysis of a rotating thin walled-blade made of functionally graded materials (FGMs) operating under high temperature supersonic gas flow is investigated. The governing equations are based on the first-order shear deformation theory of beams which include the effects of the rotary inertias and the blade presetting angle. Quasi-steady aerodynamic pressure loadings and steady wall temperature assumptions are made. The explicit DQ-discretized form of the equations of motion and the related boundary conditions are presented. The convergence of the method is examined and to verify its accuracy, the results are compared with those of the Galerkin method where excellent agreements are observed. The effects of the Mach number, rotating speed, geometric parameters and blade material properties on the natural frequencies are examined.