International Journal of Mechanical Sciences | 2019
Quasi-3D dynamic analysis of rotating FGM beams using a modified Fourier spectral approach
Abstract
Abstract Rotating beams and blades made of functionally graded materials (FGMs) have broad application prospects in engineering. Nonclassical features, such as anisotropy material, Coriolis effect, and both the centrifugal softening and stiffening effects, make it more challenging for one-dimensional theories to accurately model the rotating FGM beams. This work presents a quasi-three-dimensional solution for the dynamic behaviors of the rotating FGM beams. The FGM beam, attaching to a rigid hub, is assumed to have a metallic core covered with two ceramic faces. The constraint between the hub and FGM beam is simulated by the penalty method, which transforms the boundary potential energy into a quantifiable form and simplifies the selection of the trial functions. The model is established by employing the Carrera unified formulation (CUF) and modified Fourier spectral approach (MFSA) in which the displacement variables of the FGM beam are constructed by the modified Fourier series expansion. The variational method is applied for the derivation of the governing equations of the rotating FGM beams, considering the centrifugal and Coriolis effects. Several examples including the isotropic and FGM beams under different rotating conditions are performed to check the effectiveness and precision of the developed formulation. Parameter studies are then implemented to investigate the influences of the rotation velocity, material parameter, presetting angle and hub-radius ratio on the three-dimensional vibration characteristics of the rotating FGM beams.