WAVE REFLECTION AND TRANSMISSION IN AN AXIALLY STRAINED, ROTATING TIMOSHENKO SHAFT

In this paper, the wave reflection and transmission characteristics of an axially strained, rotating Timoshenko shaft under general support and boundary conditions, and with geometric discontinuities are examined. The static axial deformation due to an axial force is also included in the model. The reflection and transmission matrices are combined, with the aid of the transfer matrix method, to provide a concise and systematic approach for the free vibration analysis of multi-span rotating shafts with general boundary conditions. Results on the wave reflection and transmission coefficients are presented for both the Timoshenko and the simple Euler–Bernoulli models to investigate the effects of the axial strain, shaft rotation speed, shear and rotary inertia.