Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning

In 3½½-axis machining, the machined part surface is partitioned in pre-processing in order to calculate the tool position and patch boundaries and then machined in patches, thereby minimizing the intermediate manual part re-positioning and the overall machining time. Each patch requires a constant,...

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Main Authors: Armando Roman, Eduardo Barocio, Joel C Huegel, Sanjeev Bedi
Format: Article
Language:English
Published: SAGE Publishing 2015-12-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814015620072
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spelling doaj-ceb13bb028b8415bb8145144990ad0ed2020-11-25T03:20:35ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402015-12-01710.1177/168781401562007210.1177_1687814015620072Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planningArmando Roman0Eduardo Barocio1Joel C Huegel2Sanjeev Bedi3Automation and Control Group, University of Waterloo, Waterloo, ON, CanadaDepartment of Materials Engineering, Purdue University, West Lafayette, IN, USATecnologico de Monterrey, MexicoAutomation and Control Group, University of Waterloo, Waterloo, ON, CanadaIn 3½½-axis machining, the machined part surface is partitioned in pre-processing in order to calculate the tool position and patch boundaries and then machined in patches, thereby minimizing the intermediate manual part re-positioning and the overall machining time. Each patch requires a constant, but different, tool orientation. In previous research, local properties have been used to subdivide surfaces into patches. For an ideal tool position and orientation, however, the tool’s shape and curvature should exactly match the shape and curvature of the part surface. The rolling ball method, originally developed for 5-axis machining, considers the regional characteristics of tool positioning. This work extends the rolling ball method to 3½½-axis machining, thereby successfully delivering 5-axis quality with currently installed 3-axis computer numerical control milling machines. The pseudo-radius of curvature provides a novel geometrical subdivision criterion. Two Bézier curved surfaces are tested and compared with the 5-axis rolling ball method. Two additional surfaces are presented to further demonstrate the partitioning capability of the method. The results suggest that the rolling ball method for 3½½-axis machining is comparatively competitive in performance and quality.https://doi.org/10.1177/1687814015620072
collection DOAJ
language English
format Article
sources DOAJ
author Armando Roman
Eduardo Barocio
Joel C Huegel
Sanjeev Bedi
spellingShingle Armando Roman
Eduardo Barocio
Joel C Huegel
Sanjeev Bedi
Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning
Advances in Mechanical Engineering
author_facet Armando Roman
Eduardo Barocio
Joel C Huegel
Sanjeev Bedi
author_sort Armando Roman
title Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning
title_short Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning
title_full Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning
title_fullStr Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning
title_full_unstemmed Rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning
title_sort rolling ball method applied to 3½½-axis machining for tool orientation and positioning and path planning
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8140
publishDate 2015-12-01
description In 3½½-axis machining, the machined part surface is partitioned in pre-processing in order to calculate the tool position and patch boundaries and then machined in patches, thereby minimizing the intermediate manual part re-positioning and the overall machining time. Each patch requires a constant, but different, tool orientation. In previous research, local properties have been used to subdivide surfaces into patches. For an ideal tool position and orientation, however, the tool’s shape and curvature should exactly match the shape and curvature of the part surface. The rolling ball method, originally developed for 5-axis machining, considers the regional characteristics of tool positioning. This work extends the rolling ball method to 3½½-axis machining, thereby successfully delivering 5-axis quality with currently installed 3-axis computer numerical control milling machines. The pseudo-radius of curvature provides a novel geometrical subdivision criterion. Two Bézier curved surfaces are tested and compared with the 5-axis rolling ball method. Two additional surfaces are presented to further demonstrate the partitioning capability of the method. The results suggest that the rolling ball method for 3½½-axis machining is comparatively competitive in performance and quality.
url https://doi.org/10.1177/1687814015620072
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