Abstract
A dynamic model of composite shaft with variable cross section is presented. Free vibration equations of the variable cross section thin-walled composite shaft considering the effect of shear deformation are established based on a refined variational asymptotic method and Hamilton’s principle. The numerical results calculated by Galerkin method are analyzed to indicate the effects of ply angle, taper ratio, and transverse shear deformation on the first natural frequency and critical rotating speed. The results are compared with those obtained by using finite element package ANSYS and available in the literature using other models.
Highlights
The shaft is an extremely important part in various mechanical transmissions
The shafts suffer static load such as bending moment, torque, and axial force which usually leads to its combined deformation, and dynamic load caused by effect of inertia force and gyroscope which produces alternating stress and vibrations due to its rotation
Research on dynamic characteristics of anisotropic composite shaft is a focus of composite material structural dynamics
Summary
The shaft is an extremely important part in various mechanical transmissions. The shafts suffer static load such as bending moment, torque, and axial force which usually leads to its combined deformation, and dynamic load caused by effect of inertia force and gyroscope which produces alternating stress and vibrations due to its rotation. A dynamic model of variable cross section laminated composite shafts based on the theory of Timoshenko beam is presented by Kim et al [7–10]. The proposed model is of high precision for thick wall shaft due to using the shear factor calculated by the ratio of inner and outer diameter Another high precision model of thin long beams considering cross section warping caused by extension-bending and torsion-bending deformation is presented by Armanios et al [11–13]. The theory and model involve the free vibration and stability of conventional composite shaft [14] and the composite shaft with internal damping In these studies, the effect of transverse shear deformation has been incorporated in theoretical formulation. The numerical results are compared with the results obtained by other models
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