Stability in the Dynamics of Metal Cutting

Abstract

1. Significances of the Concepts of Stability and Instability of the Dynamic Machining System. Fundamental block diagram of the dynamic machining system. Stability and instability of the dynamic machining system. 2. The Cutting Process(CP). The cutting process considered as a dynamic system. Inner and outer modulation in the dynamics of the cutting process. The cutting process considered as a: linear dynamic system non-linear dynamic system random dynamic system. Identification of the CP system parameters. Particular cases of CP systems. Variations of the parameters of the CP system depending on the machining conditions. 3. The Elastic Structure (ES). Particularities of machine-tool structures. Models of elastic structures. Identification of the dynamic characteristics of elastic structures. Simultaneous identification of the parameters of CP and ES systems. 4. Stability of the Time-Invariant Dynamic Machining System. Equations of the dynamic machining systems. Stability of the single-variable dynamic machining system. Stability of the multivariable dynamic machining system. Graphical method for stability analysis of the dynamic machining system. Practical stability charts. Stability of the dynamic machining system in the presence of asymmetrical chatter. 5. Stability of the Dynamic Machining System with Time-Variable Concentrated Parameters (TVP). Equations and stability of the linear time varying dynamic machining system (or varylinear DMS). The dynamic machining system with slowly varying parameters (Asymptotic stability in the turning of slender workpieces). The dynamic machining system with periodically varying parameters. 6. Stability of the Dynamic Machining System with Random Parameters or Subjected to Random Forces. Equations of the linear dynamic machining system. Stability of the linear dynamic machining system with random parameters. Stability of the dynamic machining system with random input. References. Index.