Position Analysis of a Hybrid Serial-Parallel Manipulator in Immersion Lithography
This paper proposes a novel hybrid serial-parallel mechanism with 6 degrees of freedom. The new mechanism combines two different parallel modules in a serial form. 3-P̲(PH) parallel module is architecture of 3 degrees of freedom based on higher joints and specializes in describing two planes’ relati...
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Veröffentlicht in: | Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-14 |
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creator | Fu, Xin Chen, Wen-yu Ma, Tong Shao, Jie-jie |
description | This paper proposes a novel hybrid serial-parallel mechanism with 6 degrees of freedom. The new mechanism combines two different parallel modules in a serial form. 3-P̲(PH) parallel module is architecture of 3 degrees of freedom based on higher joints and specializes in describing two planes’ relative pose. 3-P̲SP parallel module is typical architecture which has been widely investigated in recent researches. In this paper, the direct-inverse position problems of the 3-P̲SP parallel module in the couple mixed-type mode are analyzed in detail, and the solutions are obtained in an analytical form. Furthermore, the solutions for the direct and inverse position problems of the novel hybrid serial-parallel mechanism are also derived and obtained in the analytical form. The proposed hybrid serial-parallel mechanism is applied to regulate the immersion hood’s pose in an immersion lithography system. Through measuring and regulating the pose of the immersion hood with respect to the wafer surface simultaneously, the immersion hood can track the wafer surface’s pose in real-time and the gap status is stabilized. This is another exploration to hybrid serial-parallel mechanism’s application. |
doi_str_mv | 10.1155/2015/573071 |
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S.</contributor><creatorcontrib>Fu, Xin ; Chen, Wen-yu ; Ma, Tong ; Shao, Jie-jie ; Leite, Valter J. S.</creatorcontrib><description>This paper proposes a novel hybrid serial-parallel mechanism with 6 degrees of freedom. The new mechanism combines two different parallel modules in a serial form. 3-P̲(PH) parallel module is architecture of 3 degrees of freedom based on higher joints and specializes in describing two planes’ relative pose. 3-P̲SP parallel module is typical architecture which has been widely investigated in recent researches. In this paper, the direct-inverse position problems of the 3-P̲SP parallel module in the couple mixed-type mode are analyzed in detail, and the solutions are obtained in an analytical form. Furthermore, the solutions for the direct and inverse position problems of the novel hybrid serial-parallel mechanism are also derived and obtained in the analytical form. The proposed hybrid serial-parallel mechanism is applied to regulate the immersion hood’s pose in an immersion lithography system. Through measuring and regulating the pose of the immersion hood with respect to the wafer surface simultaneously, the immersion hood can track the wafer surface’s pose in real-time and the gap status is stabilized. This is another exploration to hybrid serial-parallel mechanism’s application.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2015/573071</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Architecture ; Degrees of freedom ; Engineering ; Hoods ; Hybrid systems ; Immersion ; Inverse ; Kinematics ; Lithography ; Mathematical analysis ; Modules ; Offset printing ; Parallel degrees of freedom ; Position measurement ; Real time ; Studies ; Submerging ; Wafers</subject><ispartof>Mathematical problems in engineering, 2015-01, Vol.2015 (2015), p.1-14</ispartof><rights>Copyright © 2015 Jie-jie Shao et al.</rights><rights>Copyright © 2015 Jie-jie Shao et al. Jie-jie Shao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c389t-f8f315a910f5a6b0d84848a0f365180fdcaa4894df63b85692ca929281eca1433</citedby><cites>FETCH-LOGICAL-c389t-f8f315a910f5a6b0d84848a0f365180fdcaa4894df63b85692ca929281eca1433</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><contributor>Leite, Valter J. S.</contributor><creatorcontrib>Fu, Xin</creatorcontrib><creatorcontrib>Chen, Wen-yu</creatorcontrib><creatorcontrib>Ma, Tong</creatorcontrib><creatorcontrib>Shao, Jie-jie</creatorcontrib><title>Position Analysis of a Hybrid Serial-Parallel Manipulator in Immersion Lithography</title><title>Mathematical problems in engineering</title><description>This paper proposes a novel hybrid serial-parallel mechanism with 6 degrees of freedom. The new mechanism combines two different parallel modules in a serial form. 3-P̲(PH) parallel module is architecture of 3 degrees of freedom based on higher joints and specializes in describing two planes’ relative pose. 3-P̲SP parallel module is typical architecture which has been widely investigated in recent researches. In this paper, the direct-inverse position problems of the 3-P̲SP parallel module in the couple mixed-type mode are analyzed in detail, and the solutions are obtained in an analytical form. Furthermore, the solutions for the direct and inverse position problems of the novel hybrid serial-parallel mechanism are also derived and obtained in the analytical form. The proposed hybrid serial-parallel mechanism is applied to regulate the immersion hood’s pose in an immersion lithography system. Through measuring and regulating the pose of the immersion hood with respect to the wafer surface simultaneously, the immersion hood can track the wafer surface’s pose in real-time and the gap status is stabilized. This is another exploration to hybrid serial-parallel mechanism’s application.</description><subject>Architecture</subject><subject>Degrees of freedom</subject><subject>Engineering</subject><subject>Hoods</subject><subject>Hybrid systems</subject><subject>Immersion</subject><subject>Inverse</subject><subject>Kinematics</subject><subject>Lithography</subject><subject>Mathematical analysis</subject><subject>Modules</subject><subject>Offset printing</subject><subject>Parallel degrees of freedom</subject><subject>Position measurement</subject><subject>Real time</subject><subject>Studies</subject><subject>Submerging</subject><subject>Wafers</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0M9LwzAUB_AiCs7pybsEvIhSlzRN2hxlqBtMHP4Ab-WtTVxG2tSkRfrf21oP4kVyeDl88t7LNwhOCb4mhLFZhAmbsYTihOwFE8I4DRmJk_3-jqM4JBF9OwyOvN9hHBFG0knwtLZeN9pW6KYC03ntkVUI0KLbOF2gZ-k0mHANDoyRBj1ApevWQGMd0hValqV0fni90s3Wvjuot91xcKDAeHnyU6fB693ty3wRrh7vl_ObVZjTVDShShUlDATBigHf4CKN-wNYUd5vhlWRA8SpiAvF6SZlXEQ5iEhEKZE5kJjSaXAx9q2d_Wilb7JS-1waA5W0rc8IT1kihPim53_ozrau__CgkrgPKuKDuhpV7qz3TqqsdroE12UEZ0O-2ZBvNubb68tRb3VVwKf-B5-NWPZEKviF-_Fc0C9knIKO</recordid><startdate>20150101</startdate><enddate>20150101</enddate><creator>Fu, Xin</creator><creator>Chen, Wen-yu</creator><creator>Ma, Tong</creator><creator>Shao, Jie-jie</creator><general>Hindawi Publishing Corporation</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20150101</creationdate><title>Position Analysis of a Hybrid Serial-Parallel Manipulator in Immersion Lithography</title><author>Fu, Xin ; Chen, Wen-yu ; Ma, Tong ; Shao, Jie-jie</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c389t-f8f315a910f5a6b0d84848a0f365180fdcaa4894df63b85692ca929281eca1433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Architecture</topic><topic>Degrees of freedom</topic><topic>Engineering</topic><topic>Hoods</topic><topic>Hybrid systems</topic><topic>Immersion</topic><topic>Inverse</topic><topic>Kinematics</topic><topic>Lithography</topic><topic>Mathematical analysis</topic><topic>Modules</topic><topic>Offset printing</topic><topic>Parallel degrees of freedom</topic><topic>Position measurement</topic><topic>Real time</topic><topic>Studies</topic><topic>Submerging</topic><topic>Wafers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fu, Xin</creatorcontrib><creatorcontrib>Chen, Wen-yu</creatorcontrib><creatorcontrib>Ma, Tong</creatorcontrib><creatorcontrib>Shao, Jie-jie</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access Journals</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content 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>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fu, Xin</au><au>Chen, Wen-yu</au><au>Ma, Tong</au><au>Shao, Jie-jie</au><au>Leite, Valter J. 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subjects | Architecture Degrees of freedom Engineering Hoods Hybrid systems Immersion Inverse Kinematics Lithography Mathematical analysis Modules Offset printing Parallel degrees of freedom Position measurement Real time Studies Submerging Wafers |
title | Position Analysis of a Hybrid Serial-Parallel Manipulator in Immersion Lithography |
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