Vibration analysis of non-uniform shaft-rotor system

Rotor dynamics is the study of the behaviour of the machines resulting from excitations originating from its rotating elements, and has a very important role to play throughout the fast-growing mechanical and industrial world. Shafts or circular cross-section beams are important parts of rotating systems and their geometries play important role in rotor dynamics. Therefore, there is a need to consider the dynamic characteristics of special shaft-rotor systems with disks and shafts whose radii are functions of their length. The procedures for the determination of the deflection slope, shear force and bending moment at the extremities of the shaft are used and the dynamics of shaft-rotor system are considered. Conventional frequency response method is used for the computation of resonance, critical speed or whirling frequency. For particular lengths and rotational speeds, the response of the system is determined for the establishment of the dynamic characteristics. Several types of such shaft-rotors are analysed as examples. Hollow tapered shaft-rotors with uniform thickness and uniform bore are also considered