Journal article
NC Verification of Up to 5 Axis Machining Processes Using Manifold Stratification
Journal of manufacturing science and engineering, Vol.123(1), pp.99-109
02/01/2001
DOI: 10.1115/1.1286168
Abstract
A numerically controlled machining verification method is developed based on a formulation for delineating the volume generated by the motion of a cutting tool on the workpiece (stock). Varieties and subvarieties that are subsets of some Eucledian space defined by the zeros of a finite number of analytic functions are computed and are characterized as closed form equations of surface patches of this volume. The motion of a cutter tool is modeled as a surface undergoing a sweep operation along another geometric entity. A topological space describing the swept volume will be built as a stratified space with corners. Singularities of the variety are loci of points where the Jacobian of the manifold has lower rank than maximal. It is shown that varieties appearing inside the manifold representing the removed material are due to a lower degree strata of the Jacobian. Some of the varieties are complicated and will be shown to be reducible because of their parametrization and are addressed. Benefits of this method are evident in its ability to depict the manifold and to compute a value for the volume.
Details
- Title: Subtitle
- NC Verification of Up to 5 Axis Machining Processes Using Manifold Stratification
- Creators
- Karim Abdel-Malek - Department of Mechanical Engineering and Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242Walter Seaman - Department of Mathematics, The University of Iowa, Iowa City, IA 52242Harn-Jou Yeh - Microtek International, Taiwan
- Resource Type
- Journal article
- Publication Details
- Journal of manufacturing science and engineering, Vol.123(1), pp.99-109
- Publisher
- ASME
- DOI
- 10.1115/1.1286168
- ISSN
- 1087-1357
- eISSN
- 1528-8935
- Language
- English
- Date published
- 02/01/2001
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering; Mathematics
- Record Identifier
- 9984064560502771
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