Ebook: Control of Cutting Vibration and Machining Instability: A Time-Frequency Approach for Precision, Micro and Nano Machining

Machining instability is a topical area, and there are a wide range of publications that cover the topic. However, many of these previous studies have started by assuming that the behavior of the system can be linearised. Meanwhile, there are many recent advances in the fields of signal processing, nonlinear dynamics, and nonlinear control, all of which are relevant to the machining stability problem. This book establishes the fundamentals of cutting mechanics and machine tool dynamics in the simultaneous time-frequency domain. The new nonlinear control theory developed by the authors that facilitates simultaneous control of vibration amplitude in the time-domain and spectral response in the frequency-domain provides the foundation for the development of a controller architecture universally viable for the control of dynamic instability including bifurcation and chaos. Once parameters underlying the coupling, interaction, and evolution of different cutting states and between the tool and workpiece are established, they can then be incorporated into the architecture to create a control methodology that mitigate machining instability and enable robust, chatter-free machine tool design applicable in particular to high speed micro- and nano-machining.

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Machining instability is a topical area, and there are a wide range of publications that cover the topic. However, many of these previous studies have started by assuming that the behavior of the system can be linearised. Meanwhile, there are many recent advances in the fields of signal processing, nonlinear dynamics, and nonlinear control, all of which are relevant to the machining stability problem. This book establishes the fundamentals of cutting mechanics and machine tool dynamics in the simultaneous time-frequency domain. The new nonlinear control theory developed by the authors that facilitates simultaneous control of vibration amplitude in the time-domain and spectral response in the frequency-domain provides the foundation for the development of a controller architecture universally viable for the control of dynamic instability including bifurcation and chaos. Once parameters underlying the coupling, interaction, and evolution of different cutting states and between the tool and workpiece are established, they can then be incorporated into the architecture to create a control methodology that mitigate machining instability and enable robust, chatter-free machine tool design applicable in particular to high speed micro- and nano-machining.
Content:
Chapter 1 Cutting Dynamics and Machining Instability (pages 1–32):
Chapter 2 Basic Physical Principles (pages 33–54):
Chapter 3 Adaptive Filters and Filtered‐x LMS Algorithm (pages 55–69):
Chapter 4 Time‐Frequency Analysis (pages 71–100):
Chapter 5 Wavelet Filter Banks (pages 101–116):
Chapter 6 Temporal and Spectral Characteristics of Dynamic Instability (pages 117–135):
Chapter 7 Simultaneous Time‐Frequency Control of Dynamic Instability (pages 137–164):
Chapter 8 Time‐Frequency Control of Milling Instability and Chatter at High Speed (pages 165–176):
Chapter 9 Multidimensional Time‐Frequency Control of Micro‐Milling Instability (pages 177–198):
Chapter 10 Time‐Frequency Control of Friction Induced Instability (pages 199–216):
Chapter 11 Synchronization of Chaos in Simultaneous Time‐Frequency Domain (pages 217–230):