Kinematics-driven geometric modeling: a framework for simultaneous NC tool-path generation and sculptured surface design
- 23 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 2, 1819-1824 vol.2
- https://doi.org/10.1109/robot.1996.506976
Abstract
Current practice in CAD/CAM separates the process of geometric shape design from that of CNC (computerised numerical control) tool path generation. Although successful for 3-axis machining, this strategy is not as effective for 5-axis machining of sculptured surfaces due to the difficulty in generating accurate and gouge-free-5-axis tool paths from the CAD models. This paper presents a framework for a new, kinematics-based methodology for geometric modeling that integrates sculptured-surface design with too-path generation for 5-axis CNC machining. In particular, sculptured surfaces are represented directly in terms of rational Bezier and B-spline motions of the cutting tool. The proposed framework brings together the fields of Kinematics and computer aided geometric design as well as the recent results in computer aided motion synthesis and swept volume modeling, and provides a basis for concurrent geometric shape design and manufacture.Keywords
This publication has 23 references indexed in Scilit:
- Developable rational Bézier and B-spline surfacesComputer Aided Geometric Design, 1995
- Non-constant parameter NC tool path generation on sculptured surfacesThe International Journal of Advanced Manufacturing Technology, 1994
- Computer Aided Geometric Design of Motion InterpolantsJournal of Mechanical Design, 1994
- Geometric Construction of Be´zier MotionsJournal of Mechanical Design, 1994
- Analysis of Swept Volume via Lie Groups and Differential EquationsThe International Journal of Robotics Research, 1992
- Computer Aided Geometric Design of Line ConstructsJournal of Mechanical Design, 1991
- Geometric Representation of Swept Volumes with Application to Polyhedral ObjectsThe International Journal of Robotics Research, 1990
- Approximate methods for simulation and verification of numerically controlled machining programsThe Visual Computer, 1989
- Offset Surface Generation and Contouring in Computer-Aided DesignJournal of Mechanical Design, 1987
- Mappings of Spatial KinematicsJournal of Mechanical Design, 1984