An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems
An improved transfer matrix method is developed to analyze nonlinear rotor-bearing systems. The rotating shaft is described by the Timoshenko beam theory which considers the effect of the rotary inertia and shear deformation. A typical roller bearing model is assumed which has cubic nonlinear spring...
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Veröffentlicht in: | Journal of engineering for gas turbines and power 2002-04, Vol.124 (2), p.303-310 |
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container_title | Journal of engineering for gas turbines and power |
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creator | Zu, J. W. Ji, Z. |
description | An improved transfer matrix method is developed to analyze
nonlinear rotor-bearing systems. The rotating shaft is described by the
Timoshenko beam theory which considers the effect of the rotary inertia and
shear deformation. A typical roller bearing model is assumed which has cubic
nonlinear spring and linear damping characteristics. Transfer matrices for the
Timoshenko shaft element, disk element, and nonlinear bearing element are
derived and the global transfer matrix is formed. The steady-state response of
synchronous, subharmonic, and superharmonic whirls is determined using the
harmonic balance method. Two numerical examples are presented to demonstrate the
effectiveness of this approach. |
doi_str_mv | 10.1115/1.1447235 |
format | Article |
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nonlinear rotor-bearing systems. The rotating shaft is described by the
Timoshenko beam theory which considers the effect of the rotary inertia and
shear deformation. A typical roller bearing model is assumed which has cubic
nonlinear spring and linear damping characteristics. Transfer matrices for the
Timoshenko shaft element, disk element, and nonlinear bearing element are
derived and the global transfer matrix is formed. The steady-state response of
synchronous, subharmonic, and superharmonic whirls is determined using the
harmonic balance method. Two numerical examples are presented to demonstrate the
effectiveness of this approach.</description><identifier>ISSN: 0742-4795</identifier><identifier>EISSN: 1528-8919</identifier><identifier>DOI: 10.1115/1.1447235</identifier><identifier>CODEN: JETPEZ</identifier><language>eng</language><publisher>New York, NY: ASME</publisher><subject>Applied sciences ; Drives ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Mechanical engineering. Machine design ; Physics ; Shafts, couplings, clutches, brakes ; Solid mechanics ; Structural and continuum mechanics ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) ; Vibrations and mechanical waves</subject><ispartof>Journal of engineering for gas turbines and power, 2002-04, Vol.124 (2), p.303-310</ispartof><rights>2002 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a308t-7ac3f685348e9be3f552aead33d3fb13dd167e9ef76b874abe51f520c745c5d13</citedby><cites>FETCH-LOGICAL-a308t-7ac3f685348e9be3f552aead33d3fb13dd167e9ef76b874abe51f520c745c5d13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904,38499</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=13599935$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Zu, J. W.</creatorcontrib><creatorcontrib>Ji, Z.</creatorcontrib><title>An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems</title><title>Journal of engineering for gas turbines and power</title><addtitle>J. Eng. Gas Turbines Power</addtitle><description>An improved transfer matrix method is developed to analyze
nonlinear rotor-bearing systems. The rotating shaft is described by the
Timoshenko beam theory which considers the effect of the rotary inertia and
shear deformation. A typical roller bearing model is assumed which has cubic
nonlinear spring and linear damping characteristics. Transfer matrices for the
Timoshenko shaft element, disk element, and nonlinear bearing element are
derived and the global transfer matrix is formed. The steady-state response of
synchronous, subharmonic, and superharmonic whirls is determined using the
harmonic balance method. Two numerical examples are presented to demonstrate the
effectiveness of this approach.</description><subject>Applied sciences</subject><subject>Drives</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mechanical engineering. Machine design</subject><subject>Physics</subject><subject>Shafts, couplings, clutches, brakes</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><subject>Vibrations and mechanical waves</subject><issn>0742-4795</issn><issn>1528-8919</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNpFkD1PwzAQhi0EEuVjYGbxAhJDih3bdTwWxEclChIts-UmZ0iVxMXnIvrvCbQS093wvO_pHkLOOBtyztU1H3IpdS7UHhlwlRdZYbjZJwOmZZ5JbdQhOUJcMsaFkHpA7Lijk3YVwxdUdB5dhx4inboU6286hfQRKupDpLMErtpks-QS0HHnmg3WSIOnz6Fr6g5cpK8hhZjd9GvdvdPZBhO0eEIOvGsQTnfzmLzd381vH7Onl4fJ7fgpc4IVKdOuFH5UKCELMAsQXqnc9ReFqIRfcFFVfKTBgNejRaGlW4DiXuWs1FKVquLimFxue_tXPteAybY1ltA0roOwRptrZRQzRQ9ebcEyBsQI3q5i3bq4sZzZX4WW253Cnr3YlTosXeN7PWWN_wGhjDF_3PmWc9iCXYZ17AWhlYqzQosf8VV5uw</recordid><startdate>20020401</startdate><enddate>20020401</enddate><creator>Zu, J. W.</creator><creator>Ji, Z.</creator><general>ASME</general><general>American Society of Mechanical Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope></search><sort><creationdate>20020401</creationdate><title>An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems</title><author>Zu, J. W. ; Ji, Z.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a308t-7ac3f685348e9be3f552aead33d3fb13dd167e9ef76b874abe51f520c745c5d13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Applied sciences</topic><topic>Drives</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Mechanical engineering. Machine design</topic><topic>Physics</topic><topic>Shafts, couplings, clutches, brakes</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><topic>Vibrations and mechanical waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zu, J. W.</creatorcontrib><creatorcontrib>Ji, Z.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><jtitle>Journal of engineering for gas turbines and power</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zu, J. W.</au><au>Ji, Z.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems</atitle><jtitle>Journal of engineering for gas turbines and power</jtitle><stitle>J. Eng. Gas Turbines Power</stitle><date>2002-04-01</date><risdate>2002</risdate><volume>124</volume><issue>2</issue><spage>303</spage><epage>310</epage><pages>303-310</pages><issn>0742-4795</issn><eissn>1528-8919</eissn><coden>JETPEZ</coden><abstract>An improved transfer matrix method is developed to analyze
nonlinear rotor-bearing systems. The rotating shaft is described by the
Timoshenko beam theory which considers the effect of the rotary inertia and
shear deformation. A typical roller bearing model is assumed which has cubic
nonlinear spring and linear damping characteristics. Transfer matrices for the
Timoshenko shaft element, disk element, and nonlinear bearing element are
derived and the global transfer matrix is formed. The steady-state response of
synchronous, subharmonic, and superharmonic whirls is determined using the
harmonic balance method. Two numerical examples are presented to demonstrate the
effectiveness of this approach.</abstract><cop>New York, NY</cop><pub>ASME</pub><doi>10.1115/1.1447235</doi><tpages>8</tpages></addata></record> |
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source | ASME Transactions Journals (Current) |
subjects | Applied sciences Drives Exact sciences and technology Fundamental areas of phenomenology (including applications) Mechanical engineering. Machine design Physics Shafts, couplings, clutches, brakes Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations and mechanical waves |
title | An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems |
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