Vibration analysis of rotating non-uniform Rayleigh beams using “CDM” method

In this paper the vibration analysis of rotating non-uniform tapered beams is performed. The structure is discretized by means of the so-called “Cell Discretization Method” (CDM), a numerical procedure already employed for the vibration analysis of arches and beams, [1-4]. Based on a dynamic variational approach, the equation of motion, for the multiple degree of freedom systems (MDOF), is derived from Lagrange formulation. The effect of rotational speed parameter, hub radius, taper ratio and slenderness ratio on natural frequencies are also investigated. Some numerical examples are presented and the results are validated by making comparisons with the results in literature and reported in bibliography. It is demonstrated that the proposed algorithm provides a simple and powerful tool in dealing with the parametric analysis of the free vibrations of rotating Rayleigh beams.