Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors

In order to improve the gear machining accuracy, a modeling method of mapping relationship between machine tool errors and gear errors is proposed. According to the gear meshing principle and spatial envelope milling theory, a homogeneous coordinate transformation matrix including machine tool error...

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Main Authors: Junhua Yao, Rongjing Hong
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2022-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.09.006
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author Junhua Yao
Rongjing Hong
author_facet Junhua Yao
Rongjing Hong
author_sort Junhua Yao
collection DOAJ
description In order to improve the gear machining accuracy, a modeling method of mapping relationship between machine tool errors and gear errors is proposed. According to the gear meshing principle and spatial envelope milling theory, a homogeneous coordinate transformation matrix including machine tool error is established, and the corresponding gear end profile is solved. Through the error sensitivity analysis, it is found that the tooth profile and tooth direction error are in positive proportion to the rotation angle errors of <italic>Y</italic>-axis and <italic>Z</italic>-axis, and meet the superposition principle. According to the error detection results of the workpiece, the error compensation components of each axis are calculated. The experimental results show that the tooth profile error is improved from grade 7 accuracy (ISO 1328-1:2013) to grade 4 accuracy, and the tooth direction error is improved from grade 7 to grade 6.
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spelling doaj.art-d97ac9c03e7d4f06b1aa3f2ac10d0d362023-05-26T09:52:09ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392022-01-0146424830487369Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining ErrorsJunhua YaoRongjing HongIn order to improve the gear machining accuracy, a modeling method of mapping relationship between machine tool errors and gear errors is proposed. According to the gear meshing principle and spatial envelope milling theory, a homogeneous coordinate transformation matrix including machine tool error is established, and the corresponding gear end profile is solved. Through the error sensitivity analysis, it is found that the tooth profile and tooth direction error are in positive proportion to the rotation angle errors of <italic>Y</italic>-axis and <italic>Z</italic>-axis, and meet the superposition principle. According to the error detection results of the workpiece, the error compensation components of each axis are calculated. The experimental results show that the tooth profile error is improved from grade 7 accuracy (ISO 1328-1:2013) to grade 4 accuracy, and the tooth direction error is improved from grade 7 to grade 6.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.09.006Envelope milling tooth;Machining error;Tooth deviation
spellingShingle Junhua Yao
Rongjing Hong
Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors
Jixie chuandong
Envelope milling tooth;Machining error;Tooth deviation
title Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors
title_full Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors
title_fullStr Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors
title_full_unstemmed Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors
title_short Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors
title_sort modeling of the mapping relationship between machine tool errors and free form milling machining errors
topic Envelope milling tooth;Machining error;Tooth deviation
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.09.006
work_keys_str_mv AT junhuayao modelingofthemappingrelationshipbetweenmachinetoolerrorsandfreeformmillingmachiningerrors
AT rongjinghong modelingofthemappingrelationshipbetweenmachinetoolerrorsandfreeformmillingmachiningerrors