Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes

Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate f...
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Autor*in:	Guojuan Zhao [verfasserIn] Shengcheng Jiang [verfasserIn] Kai Dong [verfasserIn] Quanwang Xu [verfasserIn] Ziling Zhang [verfasserIn] Lei Lu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	geometric error error compensation homogeneous coordinate transformation matrix Newton iteration four-axis machining tools

Übergeordnetes Werk:	In: Machines - MDPI AG, 2013, 10(2022), 7, p 586
Übergeordnetes Werk:	volume:10 ; year:2022 ; number:7, p 586

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/machines10070586

Katalog-ID:	DOAJ040244636

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520			\|a Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. Based on the kinematic model of the four-axis machine tool considering the geometric error, a comprehensive geometric error compensation calculation model based on the Newton iteration was then constructed for calculating the tool path as a means of compensating for the geometric error. Ultimately, the four-axis machine tool with a curve tool path for an off-axis optical lens was chosen for verification of the proposed method. The results showed that the proposed method can significantly improve the machining accuracy.
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spelling	10.3390/machines10070586 doi (DE-627)DOAJ040244636 (DE-599)DOAJ19597f3a30594bad832ee607a09b7f87 DE-627 ger DE-627 rakwb eng TJ1-1570 Guojuan Zhao verfasserin aut Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. Based on the kinematic model of the four-axis machine tool considering the geometric error, a comprehensive geometric error compensation calculation model based on the Newton iteration was then constructed for calculating the tool path as a means of compensating for the geometric error. Ultimately, the four-axis machine tool with a curve tool path for an off-axis optical lens was chosen for verification of the proposed method. The results showed that the proposed method can significantly improve the machining accuracy. geometric error error compensation homogeneous coordinate transformation matrix Newton iteration four-axis machining tools Mechanical engineering and machinery Shengcheng Jiang verfasserin aut Kai Dong verfasserin aut Quanwang Xu verfasserin aut Ziling Zhang verfasserin aut Lei Lu verfasserin aut In Machines MDPI AG, 2013 10(2022), 7, p 586 (DE-627)73728823X (DE-600)2704328-9 20751702 nnns volume:10 year:2022 number:7, p 586 https://doi.org/10.3390/machines10070586 kostenfrei https://doaj.org/article/19597f3a30594bad832ee607a09b7f87 kostenfrei https://www.mdpi.com/2075-1702/10/7/586 kostenfrei https://doaj.org/toc/2075-1702 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022 7, p 586
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allfieldsGer	10.3390/machines10070586 doi (DE-627)DOAJ040244636 (DE-599)DOAJ19597f3a30594bad832ee607a09b7f87 DE-627 ger DE-627 rakwb eng TJ1-1570 Guojuan Zhao verfasserin aut Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. Based on the kinematic model of the four-axis machine tool considering the geometric error, a comprehensive geometric error compensation calculation model based on the Newton iteration was then constructed for calculating the tool path as a means of compensating for the geometric error. Ultimately, the four-axis machine tool with a curve tool path for an off-axis optical lens was chosen for verification of the proposed method. The results showed that the proposed method can significantly improve the machining accuracy. geometric error error compensation homogeneous coordinate transformation matrix Newton iteration four-axis machining tools Mechanical engineering and machinery Shengcheng Jiang verfasserin aut Kai Dong verfasserin aut Quanwang Xu verfasserin aut Ziling Zhang verfasserin aut Lei Lu verfasserin aut In Machines MDPI AG, 2013 10(2022), 7, p 586 (DE-627)73728823X (DE-600)2704328-9 20751702 nnns volume:10 year:2022 number:7, p 586 https://doi.org/10.3390/machines10070586 kostenfrei https://doaj.org/article/19597f3a30594bad832ee607a09b7f87 kostenfrei https://www.mdpi.com/2075-1702/10/7/586 kostenfrei https://doaj.org/toc/2075-1702 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022 7, p 586
allfieldsSound	10.3390/machines10070586 doi (DE-627)DOAJ040244636 (DE-599)DOAJ19597f3a30594bad832ee607a09b7f87 DE-627 ger DE-627 rakwb eng TJ1-1570 Guojuan Zhao verfasserin aut Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. Based on the kinematic model of the four-axis machine tool considering the geometric error, a comprehensive geometric error compensation calculation model based on the Newton iteration was then constructed for calculating the tool path as a means of compensating for the geometric error. Ultimately, the four-axis machine tool with a curve tool path for an off-axis optical lens was chosen for verification of the proposed method. The results showed that the proposed method can significantly improve the machining accuracy. geometric error error compensation homogeneous coordinate transformation matrix Newton iteration four-axis machining tools Mechanical engineering and machinery Shengcheng Jiang verfasserin aut Kai Dong verfasserin aut Quanwang Xu verfasserin aut Ziling Zhang verfasserin aut Lei Lu verfasserin aut In Machines MDPI AG, 2013 10(2022), 7, p 586 (DE-627)73728823X (DE-600)2704328-9 20751702 nnns volume:10 year:2022 number:7, p 586 https://doi.org/10.3390/machines10070586 kostenfrei https://doaj.org/article/19597f3a30594bad832ee607a09b7f87 kostenfrei https://www.mdpi.com/2075-1702/10/7/586 kostenfrei https://doaj.org/toc/2075-1702 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2022 7, p 586
language	English
source	In Machines 10(2022), 7, p 586 volume:10 year:2022 number:7, p 586
sourceStr	In Machines 10(2022), 7, p 586 volume:10 year:2022 number:7, p 586
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	geometric error error compensation homogeneous coordinate transformation matrix Newton iteration four-axis machining tools Mechanical engineering and machinery
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container_title	Machines
authorswithroles_txt_mv	Guojuan Zhao @@aut@@ Shengcheng Jiang @@aut@@ Kai Dong @@aut@@ Quanwang Xu @@aut@@ Ziling Zhang @@aut@@ Lei Lu @@aut@@
publishDateDaySort_date	2022-01-01T00:00:00Z
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However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. 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callnumber-first	T - Technology
author	Guojuan Zhao
spellingShingle	Guojuan Zhao misc TJ1-1570 misc geometric error misc error compensation misc homogeneous coordinate transformation matrix misc Newton iteration misc four-axis machining tools misc Mechanical engineering and machinery Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes
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topic_title	TJ1-1570 Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes geometric error error compensation homogeneous coordinate transformation matrix Newton iteration four-axis machining tools
topic	misc TJ1-1570 misc geometric error misc error compensation misc homogeneous coordinate transformation matrix misc Newton iteration misc four-axis machining tools misc Mechanical engineering and machinery
topic_unstemmed	misc TJ1-1570 misc geometric error misc error compensation misc homogeneous coordinate transformation matrix misc Newton iteration misc four-axis machining tools misc Mechanical engineering and machinery
topic_browse	misc TJ1-1570 misc geometric error misc error compensation misc homogeneous coordinate transformation matrix misc Newton iteration misc four-axis machining tools misc Mechanical engineering and machinery
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title	Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes
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title_full	Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes
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author_browse	Guojuan Zhao Shengcheng Jiang Kai Dong Quanwang Xu Ziling Zhang Lei Lu
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title_sort	influence analysis of geometric error and compensation method for four-axis machining tools with two rotary axes
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title_auth	Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes
abstract	Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. Based on the kinematic model of the four-axis machine tool considering the geometric error, a comprehensive geometric error compensation calculation model based on the Newton iteration was then constructed for calculating the tool path as a means of compensating for the geometric error. Ultimately, the four-axis machine tool with a curve tool path for an off-axis optical lens was chosen for verification of the proposed method. The results showed that the proposed method can significantly improve the machining accuracy.
abstractGer	Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. Based on the kinematic model of the four-axis machine tool considering the geometric error, a comprehensive geometric error compensation calculation model based on the Newton iteration was then constructed for calculating the tool path as a means of compensating for the geometric error. Ultimately, the four-axis machine tool with a curve tool path for an off-axis optical lens was chosen for verification of the proposed method. The results showed that the proposed method can significantly improve the machining accuracy.
abstract_unstemmed	Four-axis machine tools with two rotary axes are widely used in the machining of complex parts. However, due to an irregular kinematic relationship and non-linear kinematic function with geometric error, it is difficult to analyze the influence the geometry error of each axis has and to compensate for such a geometry error. In this study, an influence analysis method of geometric error based on the homogeneous coordinate transformation matrix and a compensation method was developed, using the Newton iterative method. Geometric errors are characterized by a homogeneous coordinate transformation matrix in the proposed method, and an error matrix is integrated into the kinematic model of the four-axis machine tool as a means of studying the influence the geometric error of each axis has on the tool path. Based on the kinematic model of the four-axis machine tool considering the geometric error, a comprehensive geometric error compensation calculation model based on the Newton iteration was then constructed for calculating the tool path as a means of compensating for the geometric error. Ultimately, the four-axis machine tool with a curve tool path for an off-axis optical lens was chosen for verification of the proposed method. The results showed that the proposed method can significantly improve the machining accuracy.
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title_short	Influence Analysis of Geometric Error and Compensation Method for Four-Axis Machining Tools with Two Rotary Axes
url	https://doi.org/10.3390/machines10070586 https://doaj.org/article/19597f3a30594bad832ee607a09b7f87 https://www.mdpi.com/2075-1702/10/7/586 https://doaj.org/toc/2075-1702
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author2	Shengcheng Jiang Kai Dong Quanwang Xu Ziling Zhang Lei Lu
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