Stability of rotating shafts loaded by follower axial force and torque load

✍ Scribed by N. Khader

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 703 KB
• Volume: 182
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0231

✦ Synopsis

A simple structural model is adopted to study the stability of a rotating cantilever shaft with uniformly distributed mass, mass moment of inertia, and stiffness. The shaft carries a rigid disk at its free end, where it is subjected to follower axial force and torque load. The Lagrangian approach and the assumed mode method are employed to derive the 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 boundaries are presented for different system configurations and different load combinations. Effects of the gyroscopic moment associated with the mass moment of inertia of the rotating shaft-disk system, and of external damping forces and moments, which restrain the translation and tilting of the shaft's cross-section, are evaluated.