Coulombian Model for 3D Analytical Calculation of the Torque Exerted on Cuboidal Permanent Magnets with Arbitrary Oriented Polarizations

This paper proposes improved analytical expressions of the torque on cuboidal permanent magnets. Expressions are valid for any relative magnet position and for any polarization direction. The analytical calculation is made by replacing polarizations by distributions of magnetic charges on the magnet...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied Computational Electromagnetics Society journal 2015-04, Vol.30 (4), p.351
Hauptverfasser: Allag, Hicham, Jean-Paul Yonnet, Houssem R. E. H. Bouchekara, Latreche, Mohamed E H, Rubeck, Christophe
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 4
container_start_page 351
container_title Applied Computational Electromagnetics Society journal
container_volume 30
creator Allag, Hicham
Jean-Paul Yonnet
Houssem R. E. H. Bouchekara
Latreche, Mohamed E H
Rubeck, Christophe
description This paper proposes improved analytical expressions of the torque on cuboidal permanent magnets. Expressions are valid for any relative magnet position and for any polarization direction. The analytical calculation is made by replacing polarizations by distributions of magnetic charges on the magnet poles (coulombian approach). The torque exerted on the second magnet is calculated by Lorentz force formulas for any arbitrary position. The three components of the torque are written with functions based on logarithm and arc-tangent. Results have been verified and validated by comparison with finiteelement calculation. Further, the torque can be obtained with respect to any reference point. Although these equations seem rather complicated, they enable an extremely fast and accurate calculation of the torque exerted between two permanent magnets.
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2908978548</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2908978548</sourcerecordid><originalsourceid>FETCH-LOGICAL-p98t-faa8ebf8a407c3d7ce3b217684eb1f3da5d3a7e39c92c01b56c2ccc13b8121443</originalsourceid><addsrcrecordid>eNotj99KwzAYxYsoOKfv8IHXhaZJm_Ry1PkHNraL3o8vaeoysmYmKTqfwMc2TK_OgXPOD85VNiMNo3nFCblOvqhYzoTgt9ldCIeioILyepb9tG6y7igNjrB2vbYwOA_0CRYj2nM0Ci20aNVkMRo3ghsg7jV0zn9MGpZf2kfdQwraSTrTp_ZW-yOOeoywxvdRxwCfJu5h4aWJHv0ZNt6kNK22zqI33xdwuM9uBrRBP_zrPOuel137mq82L2_tYpWfGhHzAVFoOQhkBVe050pTWRJeC6YlGWiPVU-Ra9qoplQFkVWtSqUUoVKQkjBG59njH_bkXXoQ4u7gJp--hl3ZFKLhomKC_gLSl2FP</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2908978548</pqid></control><display><type>article</type><title>Coulombian Model for 3D Analytical Calculation of the Torque Exerted on Cuboidal Permanent Magnets with Arbitrary Oriented Polarizations</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>ProQuest Central</source><creator>Allag, Hicham ; Jean-Paul Yonnet ; Houssem R. E. H. Bouchekara ; Latreche, Mohamed E H ; Rubeck, Christophe</creator><creatorcontrib>Allag, Hicham ; Jean-Paul Yonnet ; Houssem R. E. H. Bouchekara ; Latreche, Mohamed E H ; Rubeck, Christophe</creatorcontrib><description>This paper proposes improved analytical expressions of the torque on cuboidal permanent magnets. Expressions are valid for any relative magnet position and for any polarization direction. The analytical calculation is made by replacing polarizations by distributions of magnetic charges on the magnet poles (coulombian approach). The torque exerted on the second magnet is calculated by Lorentz force formulas for any arbitrary position. The three components of the torque are written with functions based on logarithm and arc-tangent. Results have been verified and validated by comparison with finiteelement calculation. Further, the torque can be obtained with respect to any reference point. Although these equations seem rather complicated, they enable an extremely fast and accurate calculation of the torque exerted between two permanent magnets.</description><identifier>ISSN: 1054-4887</identifier><identifier>EISSN: 1943-5711</identifier><language>eng</language><publisher>Pisa: River Publishers</publisher><subject>Lorentz force ; Mathematical analysis ; Permanent magnets ; Three dimensional models ; Torque</subject><ispartof>Applied Computational Electromagnetics Society journal, 2015-04, Vol.30 (4), p.351</ispartof><rights>2015. This work is published under https://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2908978548?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,21367,33721,43781</link.rule.ids></links><search><creatorcontrib>Allag, Hicham</creatorcontrib><creatorcontrib>Jean-Paul Yonnet</creatorcontrib><creatorcontrib>Houssem R. E. H. Bouchekara</creatorcontrib><creatorcontrib>Latreche, Mohamed E H</creatorcontrib><creatorcontrib>Rubeck, Christophe</creatorcontrib><title>Coulombian Model for 3D Analytical Calculation of the Torque Exerted on Cuboidal Permanent Magnets with Arbitrary Oriented Polarizations</title><title>Applied Computational Electromagnetics Society journal</title><description>This paper proposes improved analytical expressions of the torque on cuboidal permanent magnets. Expressions are valid for any relative magnet position and for any polarization direction. The analytical calculation is made by replacing polarizations by distributions of magnetic charges on the magnet poles (coulombian approach). The torque exerted on the second magnet is calculated by Lorentz force formulas for any arbitrary position. The three components of the torque are written with functions based on logarithm and arc-tangent. Results have been verified and validated by comparison with finiteelement calculation. Further, the torque can be obtained with respect to any reference point. Although these equations seem rather complicated, they enable an extremely fast and accurate calculation of the torque exerted between two permanent magnets.</description><subject>Lorentz force</subject><subject>Mathematical analysis</subject><subject>Permanent magnets</subject><subject>Three dimensional models</subject><subject>Torque</subject><issn>1054-4887</issn><issn>1943-5711</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNotj99KwzAYxYsoOKfv8IHXhaZJm_Ry1PkHNraL3o8vaeoysmYmKTqfwMc2TK_OgXPOD85VNiMNo3nFCblOvqhYzoTgt9ldCIeioILyepb9tG6y7igNjrB2vbYwOA_0CRYj2nM0Ci20aNVkMRo3ghsg7jV0zn9MGpZf2kfdQwraSTrTp_ZW-yOOeoywxvdRxwCfJu5h4aWJHv0ZNt6kNK22zqI33xdwuM9uBrRBP_zrPOuel137mq82L2_tYpWfGhHzAVFoOQhkBVe050pTWRJeC6YlGWiPVU-Ra9qoplQFkVWtSqUUoVKQkjBG59njH_bkXXoQ4u7gJp--hl3ZFKLhomKC_gLSl2FP</recordid><startdate>20150401</startdate><enddate>20150401</enddate><creator>Allag, Hicham</creator><creator>Jean-Paul Yonnet</creator><creator>Houssem R. E. H. Bouchekara</creator><creator>Latreche, Mohamed E H</creator><creator>Rubeck, Christophe</creator><general>River Publishers</general><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>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PHGZM</scope><scope>PHGZT</scope><scope>PIMPY</scope><scope>PKEHL</scope><scope>PQEST</scope><scope>PQGLB</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20150401</creationdate><title>Coulombian Model for 3D Analytical Calculation of the Torque Exerted on Cuboidal Permanent Magnets with Arbitrary Oriented Polarizations</title><author>Allag, Hicham ; Jean-Paul Yonnet ; Houssem R. E. H. Bouchekara ; Latreche, Mohamed E H ; Rubeck, Christophe</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p98t-faa8ebf8a407c3d7ce3b217684eb1f3da5d3a7e39c92c01b56c2ccc13b8121443</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Lorentz force</topic><topic>Mathematical analysis</topic><topic>Permanent magnets</topic><topic>Three dimensional models</topic><topic>Torque</topic><toplevel>online_resources</toplevel><creatorcontrib>Allag, Hicham</creatorcontrib><creatorcontrib>Jean-Paul Yonnet</creatorcontrib><creatorcontrib>Houssem R. E. H. Bouchekara</creatorcontrib><creatorcontrib>Latreche, Mohamed E H</creatorcontrib><creatorcontrib>Rubeck, Christophe</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied &amp; Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Applied Computational Electromagnetics Society journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Allag, Hicham</au><au>Jean-Paul Yonnet</au><au>Houssem R. E. H. Bouchekara</au><au>Latreche, Mohamed E H</au><au>Rubeck, Christophe</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Coulombian Model for 3D Analytical Calculation of the Torque Exerted on Cuboidal Permanent Magnets with Arbitrary Oriented Polarizations</atitle><jtitle>Applied Computational Electromagnetics Society journal</jtitle><date>2015-04-01</date><risdate>2015</risdate><volume>30</volume><issue>4</issue><spage>351</spage><pages>351-</pages><issn>1054-4887</issn><eissn>1943-5711</eissn><abstract>This paper proposes improved analytical expressions of the torque on cuboidal permanent magnets. Expressions are valid for any relative magnet position and for any polarization direction. The analytical calculation is made by replacing polarizations by distributions of magnetic charges on the magnet poles (coulombian approach). The torque exerted on the second magnet is calculated by Lorentz force formulas for any arbitrary position. The three components of the torque are written with functions based on logarithm and arc-tangent. Results have been verified and validated by comparison with finiteelement calculation. Further, the torque can be obtained with respect to any reference point. Although these equations seem rather complicated, they enable an extremely fast and accurate calculation of the torque exerted between two permanent magnets.</abstract><cop>Pisa</cop><pub>River Publishers</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1054-4887
ispartof Applied Computational Electromagnetics Society journal, 2015-04, Vol.30 (4), p.351
issn 1054-4887
1943-5711
language eng
recordid cdi_proquest_journals_2908978548
source Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; ProQuest Central
subjects Lorentz force
Mathematical analysis
Permanent magnets
Three dimensional models
Torque
title Coulombian Model for 3D Analytical Calculation of the Torque Exerted on Cuboidal Permanent Magnets with Arbitrary Oriented Polarizations
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-21T18%3A18%3A57IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Coulombian%20Model%20for%203D%20Analytical%20Calculation%20of%20the%20Torque%20Exerted%20on%20Cuboidal%20Permanent%20Magnets%20with%20Arbitrary%20Oriented%20Polarizations&rft.jtitle=Applied%20Computational%20Electromagnetics%20Society%20journal&rft.au=Allag,%20Hicham&rft.date=2015-04-01&rft.volume=30&rft.issue=4&rft.spage=351&rft.pages=351-&rft.issn=1054-4887&rft.eissn=1943-5711&rft_id=info:doi/&rft_dat=%3Cproquest%3E2908978548%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2908978548&rft_id=info:pmid/&rfr_iscdi=true