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A general identification method for position-dependent geometric errors of rotary axis with single-axis driven
Position-dependent geometric errors (PDGEs) of rotary axis affect the accuracy of the multi-axis machine tool. However, many PDGE identification methods were not general enough and not applicable when the structure of the machine tool was limited or changed. In this paper, a general PDGE identificat...
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Published in: | International journal of advanced manufacturing technology 2021, Vol.112 (3-4), p.1171-1191 |
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creator | Xu, Kai Li, Guolong Li, Zheyu Dong, Xin Xia, Changjiu |
description | Position-dependent geometric errors (PDGEs) of rotary axis affect the accuracy of the multi-axis machine tool. However, many PDGE identification methods were not general enough and not applicable when the structure of the machine tool was limited or changed. In this paper, a general PDGE identification method with single-axis driven was proposed. Firstly, the comprehensive length change model of the double-ball bar (DBB) was established. The simplification was conducted through the constraint condition to obtain the identification matrix. Then, the effect of the installation errors of the DBB was analyzed and eliminated. Simulations were carried out to validate the correctness of the proposed method when considering the installation errors. Next 10 measurement patterns were determined according to the structure limitation of the small-size 5-axis machine tool. Totally 364 combinations with full rank identification matrix are available. Finally, the prediction experiments and analysis for standard deviation were conducted to further validate the effectiveness of the proposed method. It turned out that the small condition number of the identification matrix can more likely achieve high accuracy. And an improved combination using 5 patterns was proposed with the same accuracy achieved compared to that using a total of 10 patterns. |
doi_str_mv | 10.1007/s00170-020-06530-0 |
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However, many PDGE identification methods were not general enough and not applicable when the structure of the machine tool was limited or changed. In this paper, a general PDGE identification method with single-axis driven was proposed. Firstly, the comprehensive length change model of the double-ball bar (DBB) was established. The simplification was conducted through the constraint condition to obtain the identification matrix. Then, the effect of the installation errors of the DBB was analyzed and eliminated. Simulations were carried out to validate the correctness of the proposed method when considering the installation errors. Next 10 measurement patterns were determined according to the structure limitation of the small-size 5-axis machine tool. Totally 364 combinations with full rank identification matrix are available. Finally, the prediction experiments and analysis for standard deviation were conducted to further validate the effectiveness of the proposed method. It turned out that the small condition number of the identification matrix can more likely achieve high accuracy. And an improved combination using 5 patterns was proposed with the same accuracy achieved compared to that using a total of 10 patterns.</description><identifier>ISSN: 0268-3768</identifier><identifier>EISSN: 1433-3015</identifier><identifier>DOI: 10.1007/s00170-020-06530-0</identifier><language>eng</language><publisher>London: Springer London</publisher><subject>Accuracy ; CAE) and Design ; Computer-Aided Engineering (CAD ; Engineering ; Five axis ; Identification ; Identification methods ; Industrial and Production Engineering ; Machine tools ; Mechanical Engineering ; Media Management ; Original Article</subject><ispartof>International journal of advanced manufacturing technology, 2021, Vol.112 (3-4), p.1171-1191</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag London Ltd. part of Springer Nature 2021</rights><rights>The Author(s), under exclusive licence to Springer-Verlag London Ltd. part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-e0591cfecd583d2324b2dc900fd5ff74d336126785d53e67f89d699b59afd7b23</citedby><cites>FETCH-LOGICAL-c319t-e0591cfecd583d2324b2dc900fd5ff74d336126785d53e67f89d699b59afd7b23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Xu, Kai</creatorcontrib><creatorcontrib>Li, Guolong</creatorcontrib><creatorcontrib>Li, Zheyu</creatorcontrib><creatorcontrib>Dong, Xin</creatorcontrib><creatorcontrib>Xia, Changjiu</creatorcontrib><title>A general identification method for position-dependent geometric errors of rotary axis with single-axis driven</title><title>International journal of advanced manufacturing technology</title><addtitle>Int J Adv Manuf Technol</addtitle><description>Position-dependent geometric errors (PDGEs) of rotary axis affect the accuracy of the multi-axis machine tool. However, many PDGE identification methods were not general enough and not applicable when the structure of the machine tool was limited or changed. In this paper, a general PDGE identification method with single-axis driven was proposed. Firstly, the comprehensive length change model of the double-ball bar (DBB) was established. The simplification was conducted through the constraint condition to obtain the identification matrix. Then, the effect of the installation errors of the DBB was analyzed and eliminated. Simulations were carried out to validate the correctness of the proposed method when considering the installation errors. Next 10 measurement patterns were determined according to the structure limitation of the small-size 5-axis machine tool. Totally 364 combinations with full rank identification matrix are available. Finally, the prediction experiments and analysis for standard deviation were conducted to further validate the effectiveness of the proposed method. It turned out that the small condition number of the identification matrix can more likely achieve high accuracy. And an improved combination using 5 patterns was proposed with the same accuracy achieved compared to that using a total of 10 patterns.</description><subject>Accuracy</subject><subject>CAE) and Design</subject><subject>Computer-Aided Engineering (CAD</subject><subject>Engineering</subject><subject>Five axis</subject><subject>Identification</subject><subject>Identification methods</subject><subject>Industrial and Production Engineering</subject><subject>Machine tools</subject><subject>Mechanical Engineering</subject><subject>Media Management</subject><subject>Original Article</subject><issn>0268-3768</issn><issn>1433-3015</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKt_wFPAczQfm2T3WIpfUPCi57DdTNqUNlmTrR__3rQrePMwM_DyvDPMi9A1o7eMUn2XKWWaEspLKSlKP0ETVglBBGXyFE0oVzURWtXn6CLnTcEVU_UEhRleQYDUbrG3EAbvfNcOPga8g2EdLXYx4T5mf9CIhR7CASumWIDkOwwpxZRxdDjFoU3fuP3yGX_6YY2zD6stkKNgk_-AcInOXLvNcPU7p-jt4f51_kQWL4_P89mCdII1AwEqG9Y56KysheWCV0tuu4ZSZ6VzurJCKMaVrqWVApR2dWNV0yxl0zqrl1xM0c24t0_xfQ95MJu4T6GcNLzSWtRMV7RQfKS6FHNO4Eyf_K78YBg1h1zNmKspuZpjruZgEqMpFzisIP2t_sf1A3AhfMk</recordid><startdate>2021</startdate><enddate>2021</enddate><creator>Xu, Kai</creator><creator>Li, Guolong</creator><creator>Li, Zheyu</creator><creator>Dong, Xin</creator><creator>Xia, Changjiu</creator><general>Springer London</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>2021</creationdate><title>A general identification method for position-dependent geometric errors of rotary axis with single-axis driven</title><author>Xu, Kai ; Li, Guolong ; Li, Zheyu ; Dong, Xin ; Xia, Changjiu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-e0591cfecd583d2324b2dc900fd5ff74d336126785d53e67f89d699b59afd7b23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Accuracy</topic><topic>CAE) and Design</topic><topic>Computer-Aided Engineering (CAD</topic><topic>Engineering</topic><topic>Five axis</topic><topic>Identification</topic><topic>Identification methods</topic><topic>Industrial and Production Engineering</topic><topic>Machine tools</topic><topic>Mechanical Engineering</topic><topic>Media Management</topic><topic>Original Article</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xu, Kai</creatorcontrib><creatorcontrib>Li, Guolong</creatorcontrib><creatorcontrib>Li, Zheyu</creatorcontrib><creatorcontrib>Dong, Xin</creatorcontrib><creatorcontrib>Xia, Changjiu</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central</collection><collection>ProQuest Databases</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>International journal of advanced manufacturing technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xu, Kai</au><au>Li, Guolong</au><au>Li, Zheyu</au><au>Dong, Xin</au><au>Xia, Changjiu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A general identification method for position-dependent geometric errors of rotary axis with single-axis driven</atitle><jtitle>International journal of advanced manufacturing technology</jtitle><stitle>Int J Adv Manuf Technol</stitle><date>2021</date><risdate>2021</risdate><volume>112</volume><issue>3-4</issue><spage>1171</spage><epage>1191</epage><pages>1171-1191</pages><issn>0268-3768</issn><eissn>1433-3015</eissn><abstract>Position-dependent geometric errors (PDGEs) of rotary axis affect the accuracy of the multi-axis machine tool. However, many PDGE identification methods were not general enough and not applicable when the structure of the machine tool was limited or changed. In this paper, a general PDGE identification method with single-axis driven was proposed. Firstly, the comprehensive length change model of the double-ball bar (DBB) was established. The simplification was conducted through the constraint condition to obtain the identification matrix. Then, the effect of the installation errors of the DBB was analyzed and eliminated. Simulations were carried out to validate the correctness of the proposed method when considering the installation errors. Next 10 measurement patterns were determined according to the structure limitation of the small-size 5-axis machine tool. Totally 364 combinations with full rank identification matrix are available. Finally, the prediction experiments and analysis for standard deviation were conducted to further validate the effectiveness of the proposed method. It turned out that the small condition number of the identification matrix can more likely achieve high accuracy. And an improved combination using 5 patterns was proposed with the same accuracy achieved compared to that using a total of 10 patterns.</abstract><cop>London</cop><pub>Springer London</pub><doi>10.1007/s00170-020-06530-0</doi><tpages>21</tpages></addata></record> |
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subjects | Accuracy CAE) and Design Computer-Aided Engineering (CAD Engineering Five axis Identification Identification methods Industrial and Production Engineering Machine tools Mechanical Engineering Media Management Original Article |
title | A general identification method for position-dependent geometric errors of rotary axis with single-axis driven |
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