Dynamic analysis of a spinning composite “deep” hyperbolic coupling

A dynamic analysis of a “deep” hyperbolic composite coupling is presented. A model is developed based on “shell/beam” assumptions, the energy approach, and the application of the extended Lagrange’s Equations. The mathematical model is solved, using the finite element method, to study the effect of the minimum diameter of a specific “deep” coupling on its dynamic characteristics. The results of the developed finite element program are compared with the corresponding 3D-ANSYS ones. The effect of the spinning speed is also investigated. Results indicate that the developed model is very accurate in predicting the axial and meridional/tangential natural frequencies. The model, however, over predicts the flexural natural frequency. The model also successfully captures the branching phenomenon of the flexural natural frequency exhibited with spinning.