C. Steve Suh, Meng-Kun Liu

Control of Cutting Vibration and Machining Instability (eBook, ePUB)

A Time-Frequency Approach for Precision, Micro and Nano Machining

• Format: ePub

Produktbeschreibung

Presents new developments on machine tool vibration control based on discontinuous dynamical systems 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. * Presents new developments on machine tool vibration control based on discontinuous dynamical systems * Provides a clear and concise approach to the understanding and control of machine tool and workpiece vibrations from an alternative view, contributing to an in-depth understanding of cutting dynamics and robust control of machining instability * Equips the reader with the knowledge to understand the dynamics of cutting and operation of machine-tool systems in different conditions as well as the concept of cutting instability control * Includes data examples in MATLAB coding

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 264
• Erscheinungstermin: 1. August 2013
• Englisch
• ISBN-13: 9781118402788
• Artikelnr.: 39478134

Autorenporträt

Dr C. Steve Suh, Director, Institute for Innovation and Design in Engineering, Department of Mechanical Engineering, Texas A&M University, USA. Dr Suh obtained his PhD in Mechanical Engineering from Texas A&M University in 1997. He has co-authored numerous journals articles and a book, and was Guest Editor of the Journal of Vibration and Control in 2007. Dr Suh's research interests include Nonlinear control theory; Laser ultrasonic thermometry; Characterization and control of dynamic manufacturing instability; Engineering design theory; MEMS and NEMS fabrication; High-performance 3D microelectronic packaging; Dynamic system diagnostics and prognostics; Wave propagation; Thermo-Elasto-Viscoplastodynamics. Dr Meng-Kun Liu, Lecturer, Department of Mechanical Engineering, Texas A&M University, USA. Dr.Liu obtained his PhD in Mechanical Engineering from Texas A&M University in 2012. He has two-years senior design instructor experience in system engineering, project management and design optimization, and four years hands-on experience in industrial projects with focuses on design innovation. He was the recipient of the 2012 Departmental Graduate Student Teaching Award, and has co-authored numerous journal articles and conference proceedings. This is his first book.

Inhaltsangabe

Preface ix 1 Cutting Dynamics and Machining Instability 1 1.1 Instability
in Turning Operation 2 1.1.1 Impact of Coupled Whirling and Tool Geometry
on Machining 3 1.2 Cutting Stability 10 1.3 Margin of Stability and
Instability 12 1.4 Stability in Fine Cuts 23 1.5 Concluding Remarks 31
References 32 2 Basic Physical Principles 33 2.1 Euclidean Vectors 33 2.2
Linear Spaces 34 2.3 Matrices 36 2.3.1 Eigenvalue and Linear Transformation
37 2.4 Discrete Functions 38 2.4.1 Convolution and Filter Operation 39
2.4.2 Sampling Theorem 40 2.4.3 z-Transform 41 2.5 Tools for Characterizing
Dynamic Response 42 2.5.1 Fourier Analysis 49 2.5.2 Wavelet Analysis 51
References 54 3 Adaptive Filters and Filtered-x LMS Algorithm 55 3.1
Discrete-Time FIR Wiener Filter 55 3.1.1 Performance Measure 56 3.1.2
Optimization of Performance Function 58 3.2 Gradient Descent Optimization
60 3.3 Least-Mean-Square Algorithm 62 3.4 Filtered-x LMS Algorithm 64
References 68 4 Time-Frequency Analysis 71 4.1 Time and Frequency
Correspondence 72 4.2 Time and Frequency Resolution 75 4.3 Uncertainty
Principle 76 4.4 Short-Time Fourier Transform 77 4.5 Continuous-Time
Wavelet Transform 79 4.6 Instantaneous Frequency 81 4.6.1 Fundamental
Notions 82 4.6.2 Misinterpretation of Instantaneous Frequency 85 4.6.3
Decomposition of Multi-Mode Structure 90 4.6.4 Example of Instantaneous
Frequency 94 4.6.5 Characteristics of Nonlinear Response 97 References 100
5 Wavelet Filter Banks 101 5.1 A Wavelet Example 101 5.2 Multiresolution
Analysis 104 5.3 Discrete Wavelet Transform and Filter Banks 112 References
116 6 Temporal and Spectral Characteristics of Dynamic Instability 117 6.1
Implication of Linearization in Time-Frequency Domains 118 6.2
Route-to-Chaos in Time-Frequency Domain 125 6.3 Summary 134 References 134
7 Simultaneous Time-Frequency Control of Dynamic Instability 137 7.1
Property of Route-to-Chaos 137 7.1.1 OGY Control of Stationary and
Nonstationary H¿enon Map 139 7.1.2 Lyapunov-based Control of Stationary and
Nonstationary Duffing Oscillator 140 7.2 Property of Chaos Control 144
7.2.1 Simultaneous Time-Frequency Control 145 7.3 Validation of Chaos
Control 155 References 162 8 Time-Frequency Control ofMilling Instability
and Chatter at High Speed 165 8.1 Milling Control Issues 165 8.2 High-Speed
Low Immersion Milling Model 167 8.3 Route-to-Chaos and Milling Instability
168 8.4 Milling Instability Control 170 8.5 Summary 175 References 176 9
Multidimensional Time-Frequency Control of Micro-Milling Instability 177
9.1 Micro-Milling Control Issues 177 9.2 Nonlinear Micro-Milling Model 179
9.3 Multivariable Micro-Milling Instability Control 181 9.3.1 Control
Strategy 183 9.4 Micro-Milling Instability Control 186 9.5 Summary 193
References 197 10 Time-Frequency Control of Friction Induced Instability
199 10.1 Issues with Friction-Induced Vibration Control 199 10.2 Continuous
Rotating Disk Model 201 10.3 Dynamics of Friction-Induced Vibration 206
10.4 Friction-Induced Instability Control 208 10.5 Summary 214 References
215 11 Synchronization of Chaos in Simultaneous Time-Frequency Domain 217
11.1 Synchronization of Chaos 217 11.2 Dynamics of a Nonautonomous Chaotic
System 219 11.3 Synchronization Scheme 222 11.4 Chaos Control 223 11.4.1
Scenario I 223 11.4.2 Scenario II 227 11.5 Summary 227 References 229
Appendix: MATLAB(r) Programming Examples of Nonlinear Time-Frequency
Control 231 A.1 Friction-Induced Instability Control 231 A.1.1 Main Program
232 A.1.2 Simulink(r) Model 236 A.2 Synchronization of Chaos 239 A.2.1 Main
Program 239 A.2.2 Simulink(r) Model 244 Index 245