Advances in Geometric Modeling for Custom Manufacturing Tools

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Main Authors: Dr. Thomas L. Saaty University of Pittsburgh, USA.
Format: Recurso digital
Published: Zenodo 2020
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author Dr. Thomas L. Saaty University of Pittsburgh
USA.
author_facet Dr. Thomas L. Saaty University of Pittsburgh
USA.
contents <p>The geometric modeling of the cutting tools is an important aspect for the design and manufacturing engineers from the viewpoint of shape realization. The geometry of cutting tools" surfaces based on twodimensional (2D) projected geometry approach has certain limitations. This definition is also inadequate due to inaccuracy and non-applicability of the model for further manipulation. To address these issues, an accurate three-dimensional (3D) surface-based generic definition for a few families of customengineered milling cutters has been developed. The proposed geometric definition of the customized cutter is developed in terms of biparametric surface patches using proposed 3D rotational angles rather than the conventional 2D angles. The non-uniform rational B-spline (NURBS) curve(s) and generation of sweep surfaces based on it are utilized for the shape generation of cutting elements of the generic cutters. This representation scheme enables tooth shapes to be controlled by manipulating control polygons and sweep trajectories and in the process varied tool geometries can be generated. Further, an interface is developed that converts the proposed 3D parametric definition of the cutter into an intermediate neutral CAD format. This helps in rendering the cutter model in any CAD modeling environment.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19308632
institution Zenodo
language
publishDate 2020
publisher Zenodo
record_format zenodo
spellingShingle Advances in Geometric Modeling for Custom Manufacturing Tools
Dr. Thomas L. Saaty University of Pittsburgh
USA.
Milling cutters
Cutting tools
<p>The geometric modeling of the cutting tools is an important aspect for the design and manufacturing engineers from the viewpoint of shape realization. The geometry of cutting tools" surfaces based on twodimensional (2D) projected geometry approach has certain limitations. This definition is also inadequate due to inaccuracy and non-applicability of the model for further manipulation. To address these issues, an accurate three-dimensional (3D) surface-based generic definition for a few families of customengineered milling cutters has been developed. The proposed geometric definition of the customized cutter is developed in terms of biparametric surface patches using proposed 3D rotational angles rather than the conventional 2D angles. The non-uniform rational B-spline (NURBS) curve(s) and generation of sweep surfaces based on it are utilized for the shape generation of cutting elements of the generic cutters. This representation scheme enables tooth shapes to be controlled by manipulating control polygons and sweep trajectories and in the process varied tool geometries can be generated. Further, an interface is developed that converts the proposed 3D parametric definition of the cutter into an intermediate neutral CAD format. This helps in rendering the cutter model in any CAD modeling environment.</p>
title Advances in Geometric Modeling for Custom Manufacturing Tools
topic Milling cutters
Cutting tools
url https://doi.org/10.5281/zenodo.19308632