Force prediction model for five-axis flat end milling of free-form surface based on analytical CWE
As a high efficient machining technology, five-axis flat end milling is applied to free-form surface more widely. Cutter workpiece engagement (CWE) is an important issue for studying the milling mechanics. In this paper, milling force prediction model for five-axis flat end milling of free-form surf...
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Published in | International journal of advanced manufacturing technology Vol. 99; no. 1-4; pp. 1023 - 1036 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
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London
Springer London
01.10.2018
Springer Nature B.V |
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Abstract | As a high efficient machining technology, five-axis flat end milling is applied to free-form surface more widely. Cutter workpiece engagement (CWE) is an important issue for studying the milling mechanics. In this paper, milling force prediction model for five-axis flat end milling of free-form surface is presented based on a new analytical CWE model. Free-form surface is discretized into a series of tiny inclined plane. Three-axis flat end milling of inclined plane being study object, considering that the depth of cut is stacked by a series of thin cutting layers, the parametric formulas of CWE boundary curves can be obtained by calculating the intersection between cutter geometry and each thin cutting layer. The CWE of five-axis flat end milling of inclined plane can be transformed from three-axis flat end milling of inclined plane. The effective boundary points of in-cut cutting edge are derived by intersecting the analytical boundary curves of CWE with the parameter formula of cutting edge. Then combined with elemental cutting theory, this paper establishes force model of five-axis flat end milling of inclined plane as well as free-form surface. The experiments and simulations of CWE of five-axis milling show that the results of analytical method are in reasonable agreement with those of experiments and only a slight error with those of solid modeling method. Further, the influence rules of curvature radius of tool path on the accuracy of analytical CWE model are explored. Arranged milling experiments show that predicted milling forces are in reasonable agreement with measured forces in trend and amplitude, validating the effectiveness of force model for five-axis flat end milling of free-form surface. |
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AbstractList | As a high efficient machining technology, five-axis flat end milling is applied to free-form surface more widely. Cutter workpiece engagement (CWE) is an important issue for studying the milling mechanics. In this paper, milling force prediction model for five-axis flat end milling of free-form surface is presented based on a new analytical CWE model. Free-form surface is discretized into a series of tiny inclined plane. Three-axis flat end milling of inclined plane being study object, considering that the depth of cut is stacked by a series of thin cutting layers, the parametric formulas of CWE boundary curves can be obtained by calculating the intersection between cutter geometry and each thin cutting layer. The CWE of five-axis flat end milling of inclined plane can be transformed from three-axis flat end milling of inclined plane. The effective boundary points of in-cut cutting edge are derived by intersecting the analytical boundary curves of CWE with the parameter formula of cutting edge. Then combined with elemental cutting theory, this paper establishes force model of five-axis flat end milling of inclined plane as well as free-form surface. The experiments and simulations of CWE of five-axis milling show that the results of analytical method are in reasonable agreement with those of experiments and only a slight error with those of solid modeling method. Further, the influence rules of curvature radius of tool path on the accuracy of analytical CWE model are explored. Arranged milling experiments show that predicted milling forces are in reasonable agreement with measured forces in trend and amplitude, validating the effectiveness of force model for five-axis flat end milling of free-form surface. |
Author | Wang, M. J. Li, S. Q. Liu, S. X. Guo, M. L. Wei, Z. C. |
Author_xml | – sequence: 1 givenname: M. L. surname: Guo fullname: Guo, M. L. organization: Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology – sequence: 2 givenname: Z. C. surname: Wei fullname: Wei, Z. C. email: wei_zhaocheng@dlut.edu.cn organization: Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology – sequence: 3 givenname: M. J. surname: Wang fullname: Wang, M. J. organization: Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology – sequence: 4 givenname: S. Q. surname: Li fullname: Li, S. Q. organization: Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology – sequence: 5 givenname: S. X. surname: Liu fullname: Liu, S. X. organization: Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology |
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CitedBy_id | crossref_primary_10_1007_s00170_021_07962_y crossref_primary_10_1016_j_jmapro_2020_12_014 crossref_primary_10_1007_s00170_018_2709_z crossref_primary_10_1016_j_jmapro_2023_10_029 crossref_primary_10_1007_s00170_019_03738_7 crossref_primary_10_1007_s00170_023_11458_2 crossref_primary_10_1007_s00170_020_05452_1 crossref_primary_10_1007_s00170_020_05164_6 crossref_primary_10_1016_j_jmapro_2023_01_069 |
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Keywords | CWE Flat end mill Free-form surface Force prediction Five-axis |
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SubjectTerms | Bats CAE) and Design Computer simulation Computer-Aided Engineering (CAD Curvature Curves Cutting parameters End milling cutters Engineering Experiments Five axis Free form Industrial and Production Engineering Manufacturing Mathematical models Mechanical Engineering Media Management Milling (machining) Model accuracy Modularity Original Article Prediction models Solid modelling Surface geometry Thin films Three axis Workpieces |
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Title | Force prediction model for five-axis flat end milling of free-form surface based on analytical CWE |
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