Metal Cutting Theory: New Perspectives and New Approaches (Springer Series in Advanced Manufacturing)

This book summarizes the author{u2019}s lifetime achievements, offering new perspectives and approaches in the field of metal cutting theory and its applications. The topics discussed include Non-Euclidian Geometry of Cutting Tools, Non-free Cutting Mechanics and Non-Linear Machine Tool Dynamics, applying non-linear science/complexity to machining, and all the achievements and their practical significance have been theoretically proved and experimentally verified Front Matter ....Pages i-xlii Introduction (Hanmin Shi)....Pages 1-8 Front Matter ....Pages 9-9 The Way of Expressing, Analyzing and Calculating Space Angles in a Plane (Hanmin Shi)....Pages 11-38 The Way of Analyzing and Calculating Cutting Tool Angles in a Projective Plane (Hanmin Shi)....Pages 39-63 A Study on Curved Edge Drills (Hanmin Shi)....Pages 65-84 Approximate Solutions for Space Angle Problems (Hanmin Shi)....Pages 85-97 Front Matter ....Pages 99-99 The Principle of Minimum Energy Dissipation in Metal Cutting (Hanmin Shi)....Pages 101-126 The Chip-Ejection Interference and Compromise in Non-free Cutting (Hanmin Shi)....Pages 127-153 Non-linear Synthetic Method for Modeling Modern Cutting Tools (Hanmin Shi)....Pages 155-175 Bifurcation and Catastrophe in Metal Cutting Process (Hanmin Shi)....Pages 177-192 The Principle and the Law for Free-Cutting Tool Design (Hanmin Shi)....Pages 193-208 The Constraint Conditions for Free-Cutting Tool Design (Hanmin Shi)....Pages 209-227 Front Matter ....Pages 229-229 A Summary of the Theory on Machine Tool Chatter (Hanmin Shi)....Pages 231-267 Non-linear Theory of Regenerative Chatter in Cutting Processes (I) (Hanmin Shi)....Pages 269-294 Non-linear Theory of Regenerative Chatter in Cutting Processes (II) (Hanmin Shi)....Pages 295-322 Early Diagnosis and Online Monitoring of Machine Tool Chatter (Hanmin Shi)....Pages 323-339 On-Line Chatter Prevention Technology for NC Machine Tools (Hanmin Shi)....Pages 341-356 Back Matter ....Pages 357-364 This book summarizes the author's lifetime achievements, offering new perspectives and approaches in the field of metal cutting theory and its applications. The topics discussed include Non-Euclidian Geometry of Cutting Tools, Non-free Cutting Mechanics and Non-Linear Machine Tool Dynamics, applying non-linear science/complexity to machining, and all the achievements and their practical significance have been theoretically proved and experimentally verified.650