Vibration Analysis of Axially Functionally Graded Rotating Timoshenko Beams with General Variation of Cross Section, with DQM and FEM

Abstract

A new approach to study transversal vibration of rotating Timoshenko beams is presented. It is an extension of previous works that consider the simultaneous presence of axially functionally graded materials, and variation of the cross section. The quadrature algorithms extensions were developed by the authors. The model in analysis includes a lot of important features like effects of material nonhomogeneity, shear deformation, rotatory inertia, centrifugal stiffening action, gyroscopic effects, and stepped variation of the cross section. The numerical study is implemented using the differential quadrature method and the results are compared with values obtained from particular cases available in the literature, when it is possible. Since a lot of characteristics are considered, it is a very versatile model which is solved with an efficient method. It is hoped that both, the numerical study carried out and the proposed algorithms provide useful information that will be of scientific and technological interest.