CAD/CAM of Sculptured Surfaces on a Multi-Axis NC Machine : The DG/K-Based Approach

by Radzevich, Stephen P.

• ISBN13: 9781598297652
• ISBN10: 1598297651
• Format: Paperback
• Copyright: 2008-07-31
• Publisher: Morgan & Claypool

Summary

"Many products are designed with aesthetic sculptured surfaces to enhance their appearance, an important factor in customer satisfaction, especially for automotive and consumer electronics prod-ucts. In other cases, products have sculptured surfaces to meet functional requirements. Functional surfaces interact with the environment or with other surfaces. Because of this, functional surfaces can also be called dynamic surfaces. Functional surfaces do not possess the property to slide over itself, which causes significant complexity in machining of sculptured surfaces. The application of multiaxis numerically controlled (NC) machines is the only way for an efficient machining of sculp-tured surfaces. Reduction of machining time is a critical issue when machining sculptured surfaces on multiaxis NC machines. To reduce the machining cost of a sculptured surface, the machining time must be as short as possible."--BOOK JACKET.

Author Biography

Stephen P. Radzevich is a professor of mechanical engineering and manufacturing engineering.

Table of Contents

Introduction	p. 1
Analytical Representation of Sculptured Surfaces	p. 5
Kinematics of Sculptured-Surface Machining	p. 11
Local Reference System	p. 11
Elementary Relative Motions	p. 13
Generating Motions of the Cutting Tool	p. 14
Motions of Orientation of the Cutting Tool	p. 19
Coordinate System Transformations: Their Impact on Fundamental Forms of the Surfaces	p. 23
Analytical Description of the Geometry of Contact of the Sculptured Surface and of the Generating Surface of the Form-Cutting Tool	p. 29
Local Relative Orientation of Surfaces P and T	p. 29
Dupin's Indicatrix	p. 33
Rate of Conformity of Surfaces P and T at the CC-Point	p. 33
Directions of the Extremal Rate of Conformity of Surfaces P and T	p. 39
Implementation of Plucker's Conoid	p. 39
AN[subscript R] (P)-Indicatrix of Surface P	p. 41
Relative Characteristic Curves	p. 41
Form-Cutting Tools of Optimal Design	p. 45
On the Principal Concept of Profiling Form-Cutting Tools for Sculptured-Surface Machining	p. 45
R-Mapping of Part Surface P on Generating Surface T of the Form-Cutting Tool	p. 49
Reconstruction of the Generating Surface T of the Form-Cutting Tool	p. 52
An Algorithm for the Computation of the Design Parameters of the Form-Cutting Tool	p. 52
Selection of the Form-Cutting Tools of Rational Design	p. 54
Form-Cutting Tools Having Continuously Changeable Generating Surface	p. 56
Conditions of Proper Sculptured-Surface Generation	p. 57
Optimal Workpiece Orientation on the Worktable of Multiaxis NC Machine	p. 57
A Set of Necessary and Sufficient Conditions of Proper Part Surface Generation	p. 60
Global Verification of Satisfaction of the Conditions of Proper Sculptured-Surface Generation	p. 65
Predicted Accuracy of the Machined Sculptured Surface	p. 67
Components of the Resultant Deviation of the Machined Surface from the Desired Surface	p. 67
Local Approximation of the Contacting Surfaces	p. 69
Configuration of the Approximating Torus Surfaces	p. 71
Predicted Elementary Surface Deviations	p. 73
Total Displacement of the Cutting Tool with Respect to the Sculptured Surface	p. 75
Efficient Ways for Increasing Accuracy of the Machined Sculptured Surface	p. 83
Principle of Superposition of the Elementary Deviations	p. 84
Optimal Sculptured-Surface Machining	p. 85
Criteria of the Optimization	p. 85
Synthesis of Optimal Operations of Sculptured-Surface Machining	p. 89
An Example of Implementation of the DG/K-Based Method of Sculptured-Surface Machining	p. 100
Notation	p. 103
References	p. 107
Bibliography	p. 111
Author Biography	p. 113
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