Advanced Numerical Methods to Optimize Cutting Operations of Five Axis Milling Machines

Front Cover
Springer Science & Business Media, Apr 18, 2007 - Mathematics - 206 pages
1 Review

This book presents new optimization algorithms designed to improve the efficiency of tool paths for five-axis NC machining of sculptured surfaces. The book covers both the structure of the SLAM problem in general and proposes a new extremely efficient approach. It can be used by undergraduate and graduate students and researchers in the field of NC machining and CAD/CAM as well as by corporate research groups for advanced optimization of cutting operations.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
12 CADCAM Formats
3
13 Short Literature Survey
4
References
16
Introduction to FiveAxis NC Machining
25
22 NC Part Programming
28
23 Classification of FiveAxis Machines
34
24 FiveAxis Machine Kinematics
37
532 Variational Method and Functionals
102
533 The Harmonic Functional
109
534 Examples of the Tool Path Optimization
110
54 Application of Harmonic Functional to Tool Path Generation
116
55 SpaceFilling Curve Generation on Block Structured Grid
124
56 Examples and Discussion
125
Derivation of Computational Formulas for AdaptiveHarmonic Grid Generation
133
References
144

25 FiveAxis Machining Example
43
References
48
Fundamental Issues in Tool Path Planning
50
32 Machining Strip Width Estimation
53
33 Optimal Tool Orientation and Gouging Avoidance
60
34 Kinematics Error
63
35 Tool Path Generation
66
References
68
SpaceFilling Curve Tool Paths
73
42 Tool Path Optimization
75
43 Tool Path Generation using Adaptive Spacefilling Curves
77
432 SpaceFilling Curve Generation
78
433 Tool Path Correction
80
44 Examples and Discussion
83
References
94
Tool Paths in Adaptive Curvilinear Coordinates
96
52 A Historical Note on Grid Generation
98
53 Variational Grid Generation for Tool Path Optimization
101
Optimization of Rotations
151
62 Kinematics Error and Angle Variation
155
63 Optimization Problem
160
Examples and Practical Machining
162
65 Uniform Angular Grids
168
Numerical and Machining Experiments
176
The APT cutter
182
References
183
Theory of Optimal Setup for FiveAxis NC Machining
184
72 Tool Trajectory Analysis
189
722 Workpiece Setup and the Tool Trajectory
190
73 LeastSquares Optimization and Dependent Variables
192
732 Dependent Variables
193
74 Examples and Discussion
194
742 Examples
195
References
202
Index
204
Copyright

Other editions - View all

Common terms and phrases