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The continuous Poincare-like cell mapping method and its application to nonlinear dynamics analysis of a bearing–rotor system
Based on the idea of continuous cell mapping, an improved Poincare-like cell mapping method is developed. This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this me...
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Published in: | Tribology international 1998-07, Vol.31 (7), p.369-375 |
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container_end_page | 375 |
container_issue | 7 |
container_start_page | 369 |
container_title | Tribology international |
container_volume | 31 |
creator | Liu, H. Yu, L. Xie, Y.B. Yao, F.S. |
description | Based on the idea of continuous cell mapping, an improved Poincare-like cell mapping method is developed. This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this method, and the influences of initial conditions on transient movement are discussed in detail. |
doi_str_mv | 10.1016/S0301-679X(98)00046-2 |
format | article |
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This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this method, and the influences of initial conditions on transient movement are discussed in detail.</description><identifier>ISSN: 0301-679X</identifier><identifier>EISSN: 1879-2464</identifier><identifier>DOI: 10.1016/S0301-679X(98)00046-2</identifier><identifier>CODEN: TRBIBK</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Applied sciences ; bearing ; cell mapping ; Drives ; Exact sciences and technology ; Mechanical engineering. Machine design ; nonlinear ; rotor ; Shafts, couplings, clutches, brakes</subject><ispartof>Tribology international, 1998-07, Vol.31 (7), p.369-375</ispartof><rights>1998 Elsevier Science Ltd</rights><rights>1999 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c367t-bb625386e35c2948c0aa7fce864e10fca537a61f7f871c16c9737baad7c4920e3</citedby><cites>FETCH-LOGICAL-c367t-bb625386e35c2948c0aa7fce864e10fca537a61f7f871c16c9737baad7c4920e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1640751$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Liu, H.</creatorcontrib><creatorcontrib>Yu, L.</creatorcontrib><creatorcontrib>Xie, Y.B.</creatorcontrib><creatorcontrib>Yao, F.S.</creatorcontrib><title>The continuous Poincare-like cell mapping method and its application to nonlinear dynamics analysis of a bearing–rotor system</title><title>Tribology international</title><description>Based on the idea of continuous cell mapping, an improved Poincare-like cell mapping method is developed. This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this method, and the influences of initial conditions on transient movement are discussed in detail.</description><subject>Applied sciences</subject><subject>bearing</subject><subject>cell mapping</subject><subject>Drives</subject><subject>Exact sciences and technology</subject><subject>Mechanical engineering. Machine design</subject><subject>nonlinear</subject><subject>rotor</subject><subject>Shafts, couplings, clutches, brakes</subject><issn>0301-679X</issn><issn>1879-2464</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><recordid>eNqFkM9qFEEQxhtRcI0-gtAHET2Mds-f7pmTSIiJEEggEbw1tTU1pnSme-3uDexJ38E39EnszQY9eiqo71f18X1CPNfqjVbavL1SjdKVscPnV0P_WinVmqp-IFa6t0NVt6Z9KFZ_kcfiSUpfC2Tbwa7Ej-sbkhh8Zr8N2yQvA3uESNXM34pA8ywX2GzYf5EL5ZswSvCj5Jxk2c6MkDl4mYP0wc_sCaIcdx4WxkJ4mHeJkwyTBLkuWnnz--evGHKIMu1SpuWpeDTBnOjZ_TwSnz6cXB-fVecXpx-P359X2Bibq_Xa1F3TG2o6rIe2RwVgJ6TetKTVhNA1Foye7NRbjdrgYBu7BhgttkOtqDkSLw9_NzF831LKbuG0jweeSm5Xm75uTNcVsDuAGENKkSa3ibxA3Dmt3L5ud1e323fpht7d1e3qcvfi3gASwjxF8Mjp37Fple10wd4dMCphb5miS8jkkUaOhNmNgf9j9Acz9JhQ</recordid><startdate>19980701</startdate><enddate>19980701</enddate><creator>Liu, H.</creator><creator>Yu, L.</creator><creator>Xie, Y.B.</creator><creator>Yao, F.S.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>19980701</creationdate><title>The continuous Poincare-like cell mapping method and its application to nonlinear dynamics analysis of a bearing–rotor system</title><author>Liu, H. ; Yu, L. ; Xie, Y.B. ; Yao, F.S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c367t-bb625386e35c2948c0aa7fce864e10fca537a61f7f871c16c9737baad7c4920e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Applied sciences</topic><topic>bearing</topic><topic>cell mapping</topic><topic>Drives</topic><topic>Exact sciences and technology</topic><topic>Mechanical engineering. Machine design</topic><topic>nonlinear</topic><topic>rotor</topic><topic>Shafts, couplings, clutches, brakes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, H.</creatorcontrib><creatorcontrib>Yu, L.</creatorcontrib><creatorcontrib>Xie, Y.B.</creatorcontrib><creatorcontrib>Yao, F.S.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>Tribology international</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, H.</au><au>Yu, L.</au><au>Xie, Y.B.</au><au>Yao, F.S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The continuous Poincare-like cell mapping method and its application to nonlinear dynamics analysis of a bearing–rotor system</atitle><jtitle>Tribology international</jtitle><date>1998-07-01</date><risdate>1998</risdate><volume>31</volume><issue>7</issue><spage>369</spage><epage>375</epage><pages>369-375</pages><issn>0301-679X</issn><eissn>1879-2464</eissn><coden>TRBIBK</coden><abstract>Based on the idea of continuous cell mapping, an improved Poincare-like cell mapping method is developed. This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this method, and the influences of initial conditions on transient movement are discussed in detail.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/S0301-679X(98)00046-2</doi><tpages>7</tpages></addata></record> |
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subjects | Applied sciences bearing cell mapping Drives Exact sciences and technology Mechanical engineering. Machine design nonlinear rotor Shafts, couplings, clutches, brakes |
title | The continuous Poincare-like cell mapping method and its application to nonlinear dynamics analysis of a bearing–rotor system |
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