Free vibration analysis of an embarked rotating composite shaft using the hp-version of the FEM

This paper presents the study of the vibratory behavior of rotating composite shafts. The composite shaft contains isotropic rigid disks and is supported by bearings that are modeled as springs and viscous dampers. An hp-version of the Finite Element Method (FEM) is used to model the structure. A hierarchical finite element of beam type with six degrees of freedom per node is developed. The assembly is made by the standard version of the finite element method for several elements. A theoretical study allows the establishment of the kinetic energy and the strain energy of the system (shaft, disk and bearings) necessary to the result of the equations of motion. In this study the transverse shear deformation, rotary inertia and gyroscopic effects, as well as the coupling effect due to the lamination of composite layers have been incorporated. A program is elaborate for the calculation of the eigen-frequencies and critical speeds of the system. The results obtained compared with those available in the literature show the speed of convergence, the exactitude and the effectiveness of the method used. Several examples are treated, and a discussion is established to determine the influence of the various parameters and boundary conditions.

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