Chapter 1: Basic Chatter Theory.

Program1.1: Example of chatter on a lathe - noise as measured.

Program1.2: Simulation of chatter in turning.

Program1.3: Non-regenerative force.

Program1.4: Regenerative force.

Program1.5: Resultant force.

Program1.6: Inphase response.

Program1.7: Force vectors and response.

Program1.8: Stability chart.

Program1.9: Animation with stability chart.

Program1.10: Stability chart with process damping.

Chapter 2: Extension of Chatter Theory.

Program2.1: Effect of having two modes

Program2.2: Stability chart when two modes.

Program2.3: Stability chart when two modes and process damping.

Program2.4: Effect of the direction of the modes on the chatter receptance.

Program2.5: Effect of the direction of the modes on the real part of the chatter receptance.

Program2.6: Variation of blim with circumferential position of the tool.

Program2.7: Effect of a single mode direction on different milling configurations.

Program2.8: Effect of two mode directions on different milling configurations.

Program2.9: Stability chart for milling when one significant mode.

Program2.10: Boundary of stability for mode coupling chatter.

Program2.11: Comparison of mode coupling and regenerative chatter.

Program2.12: Animation of mode coupling chatter.

Chapter 3: High Performance Cutters.

Program3.1: Stability chart for an alternating pitch cutter.

Program3.2: Stability chart for a Strasman cutter.

Program3.3: Stability chart for trapezidal cutter, e = 25%.

Program3.4: Stability chart for trapezidal cutter, e = 65%.

Program3.5: Stability chart for broaching.

Program3.6: Stability chart for milling.

Chapter 4: Structural Modifications.

Program4.1: Response of spindle.

Program4.2: In-phase response of spindle.

Program4.3: Animation of spindle vibration.

Program4.4: Optimised in-phase respone with an absorber.

Program4.5: In-phase response when absorber optimised for peak response.

Program4.6: Optimised peak response of bar with absorber.

Program4.7: Optimised in-phase response of bar with absorber.

Program4.8: Optimised in-phase response of double bar.

Program4.9: In-phase response of a spindle with added inertia.

Program4.10: In-phase response with a flexible tool.

Chapter 5: Grinding.

Program5.1: The simplest case - regeneration on the work.

Program5.2: The simplest case - regeneration on the wheel.

Program5.3: The effect of contact stiffness.

Program5.4: Flexible wheel.

Program5.5: Inclined mode.

Program5.6: Torsion of the work and its drive.

Program5.7: Double regeneration - 'work chatter' against work speed.

Program5.8: Double regeneration - 'wheel chatter' against work speed.

Program5.9: Double regeneration - 'wheel chatter' against wheel speed.

Program5.10: Double regeneration - 'work chatter' against wheel speed.

Appendix A: One degree of freedom.

ProgramA.1: Undamped vibration of a spring/mass system without damping.

ProgramA.2: Damped vibration of a spring/mass system with viscous damping.

ProgramA.3: Critically damped vibration of a spring/mass system with viscous damping.

ProgramA.4: Over-damped vibration of a spring/mass system with viscous damping.

ProgramA.5: Sinusoidal forced vibration of a one degree of freedom system.

ProgramA.6: Definition of phase.

ProgramA.7: Forced Response of a one degree of freedom system.

ProgramA.8: The connection between rotating vectors, sinusoidal motion and phase.

ProgramA.9: Construction of the response locus of damped system.

ProgramA.10: Construction of the in-phase response of damped system.

ProgramA.11: Forced abutment response of a one degree of freedom system.

Appendix B: Two degree of freedom.

Program B.1: Natural frequencies and mode shapes of a two degree of freedom system

Program B.2: Transient vibration of a two degree of freedom system without damping

Program B.3: Modal contributions to the transient vibration of a two degree of freedom system

Program B.4: Forced responses of a two degree of freedom system and the modal components

Program B.5: Transient vibration of a damped two degree of freedom system.

Program B.6: Sinusoidal abutment vibration of a two degree of freedom system.

Program B.7: Magnitude and phase of the forced abutment response of a two degree of freedom system.

Program B.8: Forced Response of a two degree of freedom system.

Program B.9: Forced response with an optimised vibration absorber.

Appendix C: Systems approach to vibration.

Program C.1: Axial vibration of 5 degree-of-freedom system.

Program C.2:Transverse response of bar, with and without absorber.