Preface to the Second Edition.- Preface.- 1. Approximate Evaluation Of Eigenfrequencies.- 2. Variable Elasticity Effects in Rotating Machinery.- 3. Mathematical Models for Rotor Dynamic Analysis.- 4. Flow-Induced Vibration of Rotating Shafts.- 5. Heat-Flow-Induced Vibration of Rotating Shafts - The Newkirk Effect.- 6. Dynamics of Cracked Shafts.- 7. Identification of Cracks in Rotors and other Structures by Vibration Analysis.- 8. Thermal Effects Due to Vibration of Shafts.- 9. Variational Formulation of Consistent - Continuous Cracked Structural Members.- 10. The Variational Formulation of a Rod in Torsional Vibration for Crack Identification.- Subject Index.