Geometrical deviations versus smoothness in 5-axis high-speed flank milling |
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| Authors: | Pierre-Yves Pechard Christophe Tournier Claire Lartigue Jean-Pierre Lugarini |
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| Affiliation: | 1. LURPA, ENS Cachan, Université Paris Sud 11, 61 av du pdt Wilson, 94235 Cachan, France;2. IUT de Cachan, Université Paris Sud 11, 9 avenue de la division Leclerc, 94234 Cachan, France;3. Missler Software, 7 Rue du Bois Sauvage, 91055 Evry, France;1. State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. Manufacturing Automation Laboratory, Department of Mechanical Engineering, The University of British Columbia, Vancouver, BC, V6T 1Z4, Canada;1. Department of Computer Science, Technion, Israel;2. King Abdullah University of Science and Technology, Saudi Arabia;3. Institute of Discrete Mathematics and Geometry, TU Wien, Austria;1. Institute of Production Engineering and Machine Tools (IFW), Leibniz Universität Hannover, Germany;2. Institute of Turbomachinery and Fluid Dynamics (TFD), Leibniz Universität Hannover, Germany;1. Manufacturing Automation Laboratory, The University of British Columbia, Vancouver, BC, Canada V6T1Z4;2. Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100190, China;1. School of Computer Science and Technology, Harbin Institute of Technology, West Wenhua Street 2, 264209 Weihai, China;2. BCAM — Basque Center for Applied Mathematics, Alameda de Mazarredo 14, 48009 Bilbao, Basque Country, Spain;3. ModuleWorks GmbH, Henricistr. 50, 52072 Aachen, Germany;4. Center for Geometry and Computational Design, Vienna University of Technology, Wiedner Hauptstr. 8-10/104, A-1040 Vienna, Austria |
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| Abstract: | The paper deals with the Generation of Optimized 5-aXis Flank milling trajectories. Within the context of 5-axis High-Speed Machining, oscillatory trajectories may penalize process efficiency. The control of the trajectory smoothness is as essential as the control of geometrical deviations. For this purpose the Geo5XF method based on the surface representation of the tool trajectory has been developed. In flank milling, this surface, also called the Machining Surface (MS), is the ruled surface locus of the tool axes defining the trajectory. Based on a first positioning, the method aims at globally minimizing geometrical deviations between the envelope surface of the tool movement and the designed surface by deforming the MS while preserving trajectory smoothness. The energy of deformation of the MS is used as an indicator of the smoothness. Hence, in most cases, results obtained using Geo5XF show that minimum energy tool paths lead to minimal machining time. As geometrical deviations are not minimized for minimum energy tool paths, a compromise must be reached to find the best solution. |
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