Designed to be a complete and integrated text on the dynamic properties of machines, mechanisms, and rotors with variable mass, this book presents new results from investigations based on the general dynamics of systems with variable parameters. The book considers both weak and strong nonlinear vibrations of these systems, and chaotic phenomena are also discussed. The conservation laws and adiabatic invariants for systems with variable mass are formulated and the stability and instability conditions of motion are defined.
Table of Contents
1. Machines with Variable Mass 2. General Principles of Dynamics of Systems with Variable Mass 3. Vibrations in Machines with Parameters Which Vary with Time and Small Nonlinearities 4. Vibrations of Machines with Time Variable Parameters and Strong Nonlinearity 5. Chaos in Systems with Time Variable Parameters 6. Conservation Laws and Adiabatic Invariants for Systems with Variable Mass 7. Stability of Motion of Machines with Variable Mass