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Modelling and passive correction investigation of vibration induced machining errors on CNC machine tools

By Muhammad Helmi Nur Widiyarto


Machine tool vibration is a complex subject requiring a multi-disciplinary approach involving\ud the identification and analysis of the vibration sources and characteristics, as well as its direct\ud and indirect effects. Machine tool vibration is influenced and can be characterised by the\ud machine's structural dynamics, the drive system performance and the cutting force generation.\ud Its effect materialises in the form of poor surface finish of the workpiece, accelerated cuttingtool\ud wear, and chatter during the machining process.\ud \ud \ud This research project investigates vibration-induced errors on a Cincinnati Arrow 500\ud CNC vertical machining centre under dynamic conditions. Analyses and identifications of\ud suitable experimental configurations for modal analysis and cutting process investigations are\ud carried out to determine the most appropriate techniques for the aforementioned processes.\ud The results are compiled into recommended metrology practices for determining the vibration\ud modes.\ud \ud \ud State-of-the-art practices are employed in the study to formulate and validate a machine\ud tool axis drive model to examine the drive's individual element effects on the overall dynamic\ud performance. The feasibility of an active control vibration technique employing the drive is\ud also investigated. The hybrid modelling technique incorporating a new digital current control\ud loop developed using the power system blockset and field-oriented control strategy was\ud employed to construct the model. Analytical and experimental techniques for the validation of\ud the digital drive system's position, velocity and current control loops utilising deterministic\ud and non-deterministic signals from the internal machine drive system functions are also\ud devised.\ud \ud \ud The majority of machine tool vibration is generated while the machining process is taking\ud place. Thus, the analysis and in-depth study of the machining process plays an important role\ud in the investigation of machine tool vibration. \ud \ud \ud In this study, vibration models of the cutting\ud tool and workpiece are formulated and incorporated with an advanced cutting force\ud generation model to create a machining process model constructed as part of an EPSRC\ud project collaboration. The model is validated using various machining process conditions and\ud correlated with the workpiece surface finish analysed using state-of-the-art 3D surface\ud topography technique to identify salient vibration effects.\ud \ud \ud In this study, a model of the machine structural dynamics is constructed using the Finite\ud Element Method (FEM) for the comprehensive analytical investigation of the machine vibration behaviour accurately. The analytical model is validated against the measured results\ud from the experimental modal analysis investigation obtained using the appropriate technique.\ud \ud \ud Correlation analysis of the simulated and experimental modal analysis results is performed in\ud order to improve the accuracy of the model and minimise modelling practice errors. The\ud resulting optimised model then undergoes sensitivity analysis through parametric structural\ud analysis and characterisation technique in order to identify potential vibration reduction\ud technique by the passive methods

Topics: TJ
OAI identifier: oai:eprints.hud.ac.uk:4748

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  7. A New Technique For Identification Of Servo Drives Of Machine Tools And Robots,
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  9. (2002). Accuracy Test of Five Axis CNC Machine Tool with 3D ProbeBall. Part II: Errors Estimation,
  10. (2002). Accuracy Test of five-axis CNC Machine Tool with 3D ProbeBall. Part I. Design and Modeling,
  11. Active Vibration Control of a Car Body Based on Experimentally Evaluated Modal Parameters,
  12. (2003). Active vibration control of machine tool structures - Part 2: An experimental active-vibration control system,
  13. (1991). AG - 3-Component Dynamometer Fr, Fy,
  14. (2002). AG - Accelerometer Mounting Considerations, Special Print,
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  16. (2001). AG - The Piezoelectric Effect, Theory, Design, and Usage,
  17. (2001). AG - The Piezotron Concept as a Practical Approach to Vibration Measurement, Special Print,
  18. Agilent Technologies - The Fundamentals of Modal Testing,
  19. Agilent Technologies - The Fundamentals of Signal Analysis, Application Note 243,
  20. An Algorithm for the Machine Calculation of
  21. (2001). An approach to on-machine motion error measurement of a linear slide, Measurement,
  22. (1996). An Integrated Approach to Structural Damping,
  23. An Overview Of MIMO-FRF Excitation /Averaging/ Processing Techniques,
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  25. Analytical Prediction Of Chatter Stability In Milling; Part 1: General Formulation, Part 2: Application Of The General Formulation To Common Milling Systems,
  26. Analytical Prediction Of Stability Lobes In
  27. (1987). and Analysis Methods for Modal Testing, Sound and Vibration,
  28. (1996). Application of 2D FEM to chip formation in orthogonal cutting,
  29. (0763). Applied System Identification,
  30. (2001). Award - Novel Metrology-Based Control Algorithms for Precision Manufacture (CAPM),
  31. (2001). Award - Reduction of Errors
  32. (2003). Backlash free shaft couplings,
  33. (1992). Basic Structures for Machine Tools,
  34. (2002). Benefits of Deep Memory in High-Speed Digitizers, Application Note WP2264, National Instruments Corp.,
  35. (1995). Careful Planning Improves Impact testing, Real-Time Update, HewlettPackard,
  36. (2003). Chatter Recognition by A Statistical Evaluation of The Synchronously Sampled Audio Signal,
  37. (2002). Chatter Suppression in Five-Axis Machining of Flexible Parts,
  38. (2002). Cincinnati Machine Servo Optimisation Course Documentation,
  39. (2001). Comparison study of the biorthogonal spline wavelet filtering for areal rough surfaces,
  40. (2000). Compensation Algorithms for the Real-Time Correction of Time and Spatial Errors in a Vertical Machining Centre, Proceedings of IMechE,
  41. (2004). Computational and Experimental Modal Analysis of a Clamped-Free
  42. Computer Based Modelling of Popular Machining Operations for Force and Power Predictions,
  43. Contact deformation of a machine tool slideway and its effect on machining accuracy,
  44. Control of Electrical Drives, 2"d Edition, Springer-Verlag,
  45. (1998). Control System Design for a 6DOF Micro Vibration Testing Device,
  46. (2004). Corporation - Linear Technology Comparison:
  47. (2003). Couplings For Servo Drives:
  48. (1996). Cutting force and dimensional surface error generation in peripheral milling with variable pitch helical end mills,
  49. Damping and Energy Dissipation: Linear Viscous Damping Is A Property of The Computer Model And Is Not A Property of A Real Structure,
  50. (2001). Dataphysics Corporation - SignalCalc Mobilyzer User Manual,
  51. (2000). Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics,
  52. (1997). Design and Manufacture of a Three-Axis UltraPrecision CNC Grinding Machine,
  53. (1999). Design of an Ultra Precision Machining Facility: ULTRA 350, FY99 Technology Reports,
  54. Determination of Stiffness and Damping Sensitivity for Computer Numerically Controlled Machine Tool Drives,
  55. (1992). Determining the Accuracy of Modal Parameter Estimation Methods,
  56. (1982). Deutsches Institut für Normung e. V., "DIN 4760 Form deviations; Concepts; Classification system, translation,
  57. (1997). Digital Signal Processing Solution for Permanent Magnet Synchronous Motor, Application Note, Literature No.
  58. (1999). DSA Computer Based Instruments:
  59. (2003). Dynamic Analysis of A
  60. Dynamic characterization of elastomers and identification with rheological models,
  61. (2003). Dynamic Design Solutions - FEMtools Analysis Integration Tools and Application Development: Example Manual version 2.2, Part No. FTEM-222-0305,
  62. (2003). Dynamic Design Solutions - FEMtools Analysis Integration Tools and Application Development: Theoretical Manual version 2.2, Part No. FTTM-222-0305,
  63. (2003). Dynamic Design Solutions - FEMtools Analysis Integration Tools and Application Development: User Guide version 2.2, Part No. FTUG-222-0305,
  64. Dynamical Analysis of Vibration Cutting,
  65. (1973). Dynamics and Vibration of Structures, Wiley-Interscience,
  66. (1975). Effective Measurements for Structural Dynamics Testing. Part I,
  67. Effective Measurements for Structural System Testing. Part II,
  68. (2002). Effects of Sampling and Aliasing on the Conversion of Analogue Signals to Digital Format, Data Physics Corporation, Sound and Vibration,
  69. (2003). Effects of Windowing on the Spectral Content of a Signal, Data Physics Corporation, Sound and Vibration,
  70. (1988). Electronic Accuracy Compensation,
  71. (1992). Electronic Based Accuracy Enhancement of CNC Machine Tools, PhD Thesis, Huddersfield Polytechnic in collaboration with Electronic Accuracy Systems Ltd,
  72. (2001). Engineering Vibration, 2"d Edition,
  73. (2003). Excitation Control for Consistent Modal Parameters When Testing Nonlinear Structures,
  74. (2004). Excitation Design for FRF Measurements
  75. Experimental and finite element predictions of residual stresses due to orthogonal metal cutting,
  76. (1999). Experimental Modal Analysis, CSI Reliability Week,
  77. (1983). Experimental Modal Analysis, Structural Modifications and FEM Analysis on a Desktop Computer, Sound and Vibration,
  78. Femsys Limited - FEMG V User Manual for Version 6.4-01,
  79. Field Orientated Control of 3-Phase AC-Motors, Application Note, Literature No.
  80. (2003). Finite Element Analysis of the Structural Dynamics of a Vertical Milling Machine,
  81. Finite element modeling of continuous and segmental chip formation in high speed orthogonal machining,
  82. (1996). Finite Element Vibration Analysis and Modal Testing of Graphite Epoxy Tubes and Correlation Between The Data,
  83. (2000). Force/Torque Division - Model 221 B02 ICP® Quartz Force Sensor: Installation and Operating Manual,
  84. (2003). Force/Torque Division - Product Catalogue: Sensors for Load Torque, and Dynamic Force (FTQ-200D-0903),
  85. Free vibration of a SDOF system with hysteretic damping,
  86. (1987). General Purpose CAD/CAE Aid to Design a Machine Tool System,
  87. (2000). Getting Started with ABAQUS/Standard,
  88. (1985). Global Curve Fitting of Frequency Response Measurements using the Rational Fraction Polynomial Method,
  89. (2001). GmbH - Technical Documentation: Vibration System TV51120-M,
  90. (2004). Heidenhain GmbH - Rotary Encoders,
  91. High Speed CNC System Design. Part II: Modeling and Identification of Feed Drives,
  92. (1999). How to Determine the Modal Parameters of Simple Structures, Application Note 3560,
  93. (2004). How To Pick A Feed Unit,
  94. Hybrid Modelling and Simulation of a CNC Machine Tool Axis Drive,
  95. (1997). Hysteretic damping revisited,
  96. (2001). Identification of Damping Elements in a CNC Machine Tool Drive,
  97. (2001). Identification Of Damping: Part 1, Viscous Damping,
  98. (2001). Identification Of Damping: Part 2, Non-Viscous Damping,
  99. (1999). IMI Sensors - Model
  100. Improved dynamic cutting force model in peripheral milling. Part II: experimental verification and prediction,
  101. Improved Dynamic Cutting Force Model in Peripheral Milling. Part L" Theoretical Model and Simulation,
  102. (2001). Improving CNC Machine Tools Performance by using Modular Approach,
  103. Improving High-Speed Machining Material Removal Rates by Rapid Dynamic Analysis,
  104. (2002). Inc. - Vibration Instrumentation Catalogue,
  105. (2004). Influence and Characterisation of Weak Non-Linearities
  106. Institute (ANSI) - Initial Graphics Exchange Specification
  107. (1998). Instrumented Sledge Hammer Impact Excitation: Worked Examples,
  108. (1996). International Organization for Standardization, "ISO 11562 - Geometrical Product Specifications (GPS) - Surface texture: Profile method - Metrological characteristics of phase correct filters",
  109. (2000). International Organization for Standardization, "ISO 4287 - Geometrical Product Specifications (GPS) - Surface texture: Profile method - Terms, definitions and surface texture parameters",
  110. (2003). International Organization for Standardization, "ISO/TC 213 N",
  111. (1996). International Organization for Standardization, Geometrical Product Specification (GPS) - Surface texture: Profile method; Surfaces having stratified functional properties - Part 1: Filtering and general measurement conditions,
  112. (1996). International Standard Organisation - Mechanical vibration -Evaluation of machine vibration by measurements on non-rotating parts - Part 1: General guidelines,
  113. (2003). International Standard Organisation - Mechanical vibration. Balance quality requirements for rotors in a constant (rigid) state. Specification and verification of balance tolerances - Part 1: Specification and verification of balance tolerances,
  114. International status of thermal error research,
  115. (2004). Introduction to Signal Condition for ICP® & Charge Piezoelectric Sensors,
  116. (1995). Investigation Into Load Effects On Machine Tool Accuracy, MPhil Thesis, The University of Huddersfield,
  117. (2003). Investigation Of The Cutting Force Coefficients In Ball-End Milling,
  118. (2000). Investigation of Vibration Damping on Polymer Concrete with Polyester Resin,
  119. (2001). Lifting wavelet for three-dimensional surface analysis,
  120. (2004). Ltd -
  121. Ltd, Form Talysurf PGI,
  122. (2003). Machining contour errors as ensembles of cutting, feeding and machine structure effects,
  123. (1995). Machining to Microns - Error Avoidance or Compensation?,
  124. Manufacturing Automation - Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design,
  125. Materials Induced Vibration in Ultra-Precision Machining,
  126. (2000). Measurement Acquisition and Analysis Techniques with LabVIEWTM,
  127. (1999). Measurement Methods for the Position Errors of a Multi Axis Machine. Part 1: Principles and Sensitivity Analysis,
  128. (1999). Measurement Methods for the Position Errors of a Multi-Axis Machine. Part 2: Applications and Experimental Results,
  129. Mechanics of Orthogonal Machining,
  130. Mechanics of the Metal Cutting Process, II. Plasticity conditions in Orthogonal Cutting,
  131. (1984). Metal Cutting Principles,
  132. (2005). Metalworking Insiders' Report - The
  133. (2004). Minimizing Vibration Tendencies in Machining"
  134. (2002). Modal Analysis of A Lightweight Structure -
  135. (2000). Modal Analysis Using Appropriated Excitation Techniques, Sound And Vibration Magazine,
  136. Modal Parameter Identification for CNC Machine Tools Using Wavelet Transform,
  137. (1998). Modal Space: Back to Basics - Is there a difference between a roving hammer and a roving accelerometer modal test, Experimental Techniques Magazine,
  138. (1998). Modal Space: Back to Basics - Should I always use a hard tip for impact testing, Experimental Techniques Magazine,
  139. (2001). Modal Space: Back to Basics - Which shaker excitation is best,
  140. (1999). Modal Testing Using A Scanning Laser Doppler Vibrometer,
  141. (1987). Modal Testing using Multiple References,
  142. (2000). Modal Testing, Theory And Practice, 2"d Edition,
  143. Modeling And Control Of CNC Machines Using A PC-Based
  144. (2002). Modelling and Feedback Control of Microvibrations, Active Sound and Vibration Control,
  145. (2003). Modelling and Simulation of a Feed Drive Using Transmission Line Modelling Technique,
  146. (2003). Modelling the Dynamic Behaviour of a BallScrew System Taking into Account the Changing Position of the Ball-Screw Nut,
  147. Modelling the machining dynamics of peripheral milling -- Part 3: Prediction and verification of machined surface topography and roughness,
  148. (1999). New Application and Development of Active, Semi-Active and Hybrid Control Techniques for Seismic and Non-Seismic Vibration in The USA,
  149. (1997). On-Line Control of Machine Tool Vibration in Turning,
  150. (1994). On-Line Monitoring and Suppression of Self-Excited Vibration
  151. (2002). Parameter Estimation from Frequency Response Measurements using Rational Fraction Polynomials (Twenty Years of Progress),
  152. (1982). Parameter Estimation from Frequency Response Measurements using Rational Fraction Polynomials,
  153. (2001). Parameter Identification and Hybrid Mathematical Modelling Techniques Applied to Non-Linear Control Systems,
  154. (2005). Passive vibration damping enhancement using carbon nanotubeepoxy reinforced composites, Composites Science and Technology, in press,
  155. Paving: A New Approach To Automated Quadrilateral Mesh Generation,
  156. (2003). Polytee GmbH - PSV-400-3D Scanning Vibrometer,
  157. (2004). Position Measurement on Machine Tools: by Linear Encoder or Ballscrew and Rotary Encoder?,
  158. (1999). Power Transmission System Modelling,
  159. (1998). Precision Ball Screw Assemblies End Bearings and Housings, Catalogue No.
  160. (1997). Precision Engineering Centre - Error Simulation Program User's Guide,
  161. (1997). Prediction of Shear Angle in Oblique Cutting with Maximum Shear Stress Principle and Minimum Energy Principle,
  162. (2003). Prediction of tool-chip contact length using a new slip-line solution for orthogonal cutting,
  163. (2002). Product Catalogue C2002/01 /E, Bognor Regis,
  164. (1996). Product Catalogue: Vibration Exciter System - Types 4805,4811 and 4815,
  165. (1999). Project: SMS2-7839 (SMT4-CT98-5517) - Accuracy Verification Of Co-Ordinate Measuring Machines Of All Sizes, Types And Configurations Using Lasers And A Universal Artefact, Precision Engineering Centre, The University of Huddersfield,
  166. (1999). Project: SMS2-7854 - An Investigation Into New Machine Tool Performance Standards For Dynamic, Thermal And Volumetric Calibration Of Machine Tools, Precision Engineering Centre, The University of Huddersfield,
  167. (1990). Provably good mesh generation,
  168. (2004). Reducing the Effect of Truncation Error
  169. (2000). Reducing the Effects of Noise in a Data Acquisition System by Averaging, Application Note 152,
  170. (2001). Resolvers: Things you need to know about sizing and applying, Motion System Design,
  171. (2000). Siemens Technical Education Program (STEP)
  172. (1994). Spectral Dynamics Inc. - STAR System: Reference Manual, Part Number 3405-0114, Issue A,
  173. (1994). Spectral Dynamics Inc. - STAR System: Users Guide, Part Number 3405-0113, Issue A,
  174. (1996). Spindle Deflections in High-speed Machine Tools - Modeling and Simulation,
  175. (2001). Structural Dynamics Modeling using Modal Analysis: Applications, Trends and Challenges,
  176. (1988). Structural Testing. Part I: Mechanical Mobility Measurements, Briiel & Kjer Application Note,
  177. (1988). Structural Testing. Part II: Modal Analysis and Simulation, Brüel & Kj cr Application Note,
  178. Structural vibration suppression viaactive/passive techniques,
  179. (1996). Study of The Correlation Between Surface Roughness and Cutting Vibrations to Develop An On-Line Roughness Measuring Technique in Hard Turning,
  180. (2003). Surface characterization in ultra precision machining of AI/SiC metal matrix composites using data dependent systems analysis,
  181. (2004). Surface characterization of 6H-SiC (0001) substrates in indentation and abrasive machining,
  182. (2003). Surface Quality Monitoring for Process Control by On-Line Vibration Analysis Using An Adaptive Spline Wavelet Algorithm,
  183. (1972). The application of force equilibrium criteria to orthogonal cutting,
  184. (1964). The Chip Flow Law and Its Consequences,
  185. (1972). The influence of strain rate in orthogonal cutting,
  186. (2000). The Mathworks - Data Acquisition Toolbox. User's Guide Version 2, The Mathworks Inc.,
  187. (2000). The Mathworks - Power System Blockset. User's Guide Version 2, The Mathworks Inc.,
  188. (2002). The Mathworks - Simulink Reference Version 5, The Mathworks Inc.,
  189. (1989). The Mechanics of Machining: An Analytical Approach to Assessing Machinability (2nd edition), Ellis Horwood Ltd, ISBN 0-7458-0007-6,
  190. (2003). The modal assurance criterion - twenty years of use and abuse,
  191. (1998). The Real-Time Error Compensation Technique for
  192. (1998). The Use of Thermal Imaging, Temperature and Distortion Models for Machine Tool Thermal Error Reduction,
  193. Theory of Plasticity Applied to the Problem of Machining,
  194. (1985). Theory, Design and Application, Chapter 4: Friction, Temperature and Lubrication,
  195. (1996). Three-dimensional cutting force analysis based on the lower boundary of the shear zone. Part 1: Single edge oblique cutting,
  196. (1997). Time and Frequency Domain Procedure for Identification of Structural Dynamic Models,
  197. (2004). Understanding the Dynamic Response of a Machine Tool Structure by Finite Element Analysis,
  198. (2001). Understanding the Physics of Electrodynamic Shaker Performance, Sound and Vibration Magazine,
  199. (1997). Vibration Control for Precision Manufacturing Using Piezoelectric Actuators,
  200. (1998). Vibration Control of Machines by Use of Semi-Active Dry Friction Damping,
  201. (1999). Vibration Division - Model 086C02 Modally Tuned® ICP® Impulse Hammer With Force Sensor And Tips: Installation And Operating Manual,
  202. (1999). Vibration Division - Model 353B03 ICP® Quartz Accelerometer: Installation and Operating Manual,
  203. (1996). Vibration For Engineers, 2nd Edition, Upper Saddle River,
  204. (1995). Vibration Isolation of Precision Equipment,
  205. (1999). Vibration Measurements of A Vertical Milling Machine ,
  206. (2002). Vibration Monitoring of High Speed Spindles Using Spectral Analysis Techniques,
  207. (1975). Viscous vs. Structural Damping
  208. Windows to FFTAnalysis - Part I,
  209. Windows to FFTAnalysis (Part II),

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