Dynamic Analysis of a Hyperbolic Composite Coupling

Abstract

A novel hyperbolic composite coupling is proposed. In addition to enjoying the advantages of composite materials, the proposed coupling can be readily integrated with composite drive shaft into a single unit. A mathematical model of the coupling is developed based on the Timoshenko beam theory using the energy approach and the extended Lagrange’s equations. The corresponding discrete equation of vibration is obtained using the finite element method and solved for the natural frequencies using MATLAB. The dynamic characteristics of the coupling (Axial, torsional and bending natural frequencies) are studied in order to assess the merits and potential of the proposed coupling.

Spectral element model for the vibration of a spinning Timoshenko shaft

“…When the diameter of a shaft is large relative to its length and when vibration occurs at high frequencies, deflections due to transverse shear and rotary inertia become important. Thus, many researchers have used the Timoshenko beam models for spinning shafts [Eshleman and Eubanks 1969;Nelson 1980;Ehrich 1992;Zu and Han 1992;Ghoneim and Lawrie 2007;Chen 2010]. In this study, we adopt the Timoshenko beam model used by [Ehrich 1992;Zu and Han 1992].…”