Analytic construction and analysis of spiral pocketing via linear morphing |
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| Affiliation: | 1. RCAST, The University of Tokyo, 7-3-1, Hongo, Bunkyo, Tokyo 1538904, Japan;2. National Metrology Institute of Japan, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki 305-8563, Japan;1. Johann Bernoulli Institute, University of Groningen, Nijenborgh 9, 9747 AG Groningen, The Netherlands;3. Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy;4. INRA UMR 782 GMPA, 1 Avenue Lucien Brétignières, 78850 Thiverval-Grignon, France;1. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Canada;2. Departamento de Ingenieria Quimica y Ambiental, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile;1. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Canada;2. Departamento de Ingenieria Quimica y Ambiental, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile;u166. Key Laboratory for Precision and Non-traditional Machining Technology of the Ministry of Education, School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In numerical control, pocketing is a widely extended machining operation with different industrial applications. Conventional strategies (directional and contour parallel) provide a uniform material removal rate, but they show discontinuities and undesirable stops. However, smooth spiral paths overcome discontinuities, although the removal rate is not constant, and their implementation is complex. In order to provide an in-between solution, our algorithm embeds an Archimedean spiral into a linear morphing definition of the pocket. The solution is smooth, simple, analytic, and leads to a B-spline curve. Different tests were performed to compare the proposed spiral to other conventional and spiral strategies. To study the influence of the tool-path geometry, we computed engagement angle and feed direction, and measured force and time. The results demonstrate that our spiral is a committed, analytic and easy to compute solution. |
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| Keywords: | 2’5-D milling Ruled surface Smooth tool path Engagement angle Feed direction Cutting force |
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