List of programs

INSTRUCTIONS

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.