STABILITY OF ROTATING SHAFTS LOADED BY FOLLOWER AXIAL FORCE AND TORQUE LOAD

A simple structural model is adopted to study the stability of a rotat ing cantilever shaft with uniformly distributed mass, mass moment of i nertia, and stiffness. The shaft carries a rigid disk at its free end, where it is subjected to follower axial force and torque load. The La grangian approach and the assumed mode method are employed to derive t he governing equations of motion, with the free vibration mode shapes of a non-rotating cantilever shaft being used as admissible functions. The resulting eigenvalue problem is analyzed, and the stability bound aries are presented for different system configurations and different load combinations. Effects of the gyroscopic moment associated with th e mass moment of inertia of the rotating shaft-disk system, and of ext ernal damping forces and moments, which restrain the translation and t ilting of the shaft's cross-section, are evaluated.