Vibration of a rotating shaft with randomly varying internal damping
A simple Jeffcott rotor is considered with both external and internal damping. Coefficient of internal damping is subject to temporal random variations which may occasionally bring the rotor into the domain of dynamic instability. The corresponding sporadic outbreaks in the rotor's vibrational...
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| Veröffentlicht in: | Journal of sound and vibration 2005-07, Vol.285 (3), p.759-765 |
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| container_end_page | 765 |
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| container_title | Journal of sound and vibration |
| container_volume | 285 |
| creator | Dimentberg, M.F. |
| description | A simple Jeffcott rotor is considered with both external and internal damping. Coefficient of internal damping is subject to temporal random variations which may occasionally bring the rotor into the domain of dynamic instability. The corresponding sporadic outbreaks in the rotor's vibrational response (whirl) are studied by applying the Krylov–Bogoliubov averaging method to the complex equation of motion and using parabolic approximation for the random coefficient of the internal damping. This results in an explicit analytical solution for the radius of whirl which may be used for predicting reliability of the rotor. Furthermore, a convenient procedure is described for interpreting measured on-line test data for the rotor. Namely, the mean value of the coefficient of internal damping as well as its standard deviation and mean frequency of temporal variations may be estimated directly from the trace of whirl radius which exhibits spontaneous random outbreaks in response. |
| doi_str_mv | 10.1016/j.jsv.2004.11.025 |
| format | Article |
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Coefficient of internal damping is subject to temporal random variations which may occasionally bring the rotor into the domain of dynamic instability. The corresponding sporadic outbreaks in the rotor's vibrational response (whirl) are studied by applying the Krylov–Bogoliubov averaging method to the complex equation of motion and using parabolic approximation for the random coefficient of the internal damping. This results in an explicit analytical solution for the radius of whirl which may be used for predicting reliability of the rotor. Furthermore, a convenient procedure is described for interpreting measured on-line test data for the rotor. Namely, the mean value of the coefficient of internal damping as well as its standard deviation and mean frequency of temporal variations may be estimated directly from the trace of whirl radius which exhibits spontaneous random outbreaks in response.</description><identifier>ISSN: 0022-460X</identifier><identifier>EISSN: 1095-8568</identifier><identifier>DOI: 10.1016/j.jsv.2004.11.025</identifier><identifier>CODEN: JSVIAG</identifier><language>eng</language><publisher>London: Elsevier Ltd</publisher><subject>Applied sciences ; Approximation ; Coefficients ; Damping ; Drives ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Mathematical analysis ; Mechanical engineering. Machine design ; Outbreaks ; Physics ; Rotors ; Shafts, couplings, clutches, brakes ; Solid mechanics ; Structural and continuum mechanics ; Temporal logic ; Vibration ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><ispartof>Journal of sound and vibration, 2005-07, Vol.285 (3), p.759-765</ispartof><rights>2004 Elsevier Ltd</rights><rights>2005 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c424t-c38c93a47223e463df12873bd1a06ce02bb81d7df8c04e170c7114a7f440f8043</citedby><cites>FETCH-LOGICAL-c424t-c38c93a47223e463df12873bd1a06ce02bb81d7df8c04e170c7114a7f440f8043</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0022460X04008806$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16837921$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Dimentberg, M.F.</creatorcontrib><title>Vibration of a rotating shaft with randomly varying internal damping</title><title>Journal of sound and vibration</title><description>A simple Jeffcott rotor is considered with both external and internal damping. Coefficient of internal damping is subject to temporal random variations which may occasionally bring the rotor into the domain of dynamic instability. The corresponding sporadic outbreaks in the rotor's vibrational response (whirl) are studied by applying the Krylov–Bogoliubov averaging method to the complex equation of motion and using parabolic approximation for the random coefficient of the internal damping. This results in an explicit analytical solution for the radius of whirl which may be used for predicting reliability of the rotor. Furthermore, a convenient procedure is described for interpreting measured on-line test data for the rotor. Namely, the mean value of the coefficient of internal damping as well as its standard deviation and mean frequency of temporal variations may be estimated directly from the trace of whirl radius which exhibits spontaneous random outbreaks in response.</description><subject>Applied sciences</subject><subject>Approximation</subject><subject>Coefficients</subject><subject>Damping</subject><subject>Drives</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mathematical analysis</subject><subject>Mechanical engineering. Machine design</subject><subject>Outbreaks</subject><subject>Physics</subject><subject>Rotors</subject><subject>Shafts, couplings, clutches, brakes</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Temporal logic</subject><subject>Vibration</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0022-460X</issn><issn>1095-8568</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNqFkU9LAzEQxYMoWKsfwNteFC-7ziRpksWT-B8ELyreQppNbMp2tyZrpd_elAre9BBCJr83M7xHyDFChYDifF7N06qiALxCrIBOdsgIoZ6UaiLULhkBUFpyAW_75CClOQDUnPERuX4N02iG0HdF7wtTxH7Ir-69SDPjh-IrDLMimq7pF-26WJm43vyFbnCxM23RmMUyFw7Jnjdtckc_95i83N48X92Xj093D1eXj6XllA-lZcrWzHBJKXNcsMYjVZJNGzQgrAM6nSpsZOOVBe5QgpWI3EjPOXgFnI3J6bbvMvYfny4NehGSdW1rOtd_Jk1rSUXWZPDsTxCloIiiVvR_FBRFyXg-Y4Jb1MY-pei8XsawyJ5kSG9S0HOdU9CbFDSizilkzclPe5OsaX320ob0KxSKyZpuNr7Yci77twou6mSD66xrQnR20E0f_pjyDYsSm1s</recordid><startdate>20050701</startdate><enddate>20050701</enddate><creator>Dimentberg, M.F.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20050701</creationdate><title>Vibration of a rotating shaft with randomly varying internal damping</title><author>Dimentberg, M.F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c424t-c38c93a47223e463df12873bd1a06ce02bb81d7df8c04e170c7114a7f440f8043</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Applied sciences</topic><topic>Approximation</topic><topic>Coefficients</topic><topic>Damping</topic><topic>Drives</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Mathematical analysis</topic><topic>Mechanical engineering. Machine design</topic><topic>Outbreaks</topic><topic>Physics</topic><topic>Rotors</topic><topic>Shafts, couplings, clutches, brakes</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Temporal logic</topic><topic>Vibration</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dimentberg, M.F.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of sound and vibration</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dimentberg, M.F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Vibration of a rotating shaft with randomly varying internal damping</atitle><jtitle>Journal of sound and vibration</jtitle><date>2005-07-01</date><risdate>2005</risdate><volume>285</volume><issue>3</issue><spage>759</spage><epage>765</epage><pages>759-765</pages><issn>0022-460X</issn><eissn>1095-8568</eissn><coden>JSVIAG</coden><abstract>A simple Jeffcott rotor is considered with both external and internal damping. Coefficient of internal damping is subject to temporal random variations which may occasionally bring the rotor into the domain of dynamic instability. The corresponding sporadic outbreaks in the rotor's vibrational response (whirl) are studied by applying the Krylov–Bogoliubov averaging method to the complex equation of motion and using parabolic approximation for the random coefficient of the internal damping. This results in an explicit analytical solution for the radius of whirl which may be used for predicting reliability of the rotor. Furthermore, a convenient procedure is described for interpreting measured on-line test data for the rotor. Namely, the mean value of the coefficient of internal damping as well as its standard deviation and mean frequency of temporal variations may be estimated directly from the trace of whirl radius which exhibits spontaneous random outbreaks in response.</abstract><cop>London</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.jsv.2004.11.025</doi><tpages>7</tpages></addata></record> |
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| ispartof | Journal of sound and vibration, 2005-07, Vol.285 (3), p.759-765 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Applied sciences Approximation Coefficients Damping Drives Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical analysis Mechanical engineering. Machine design Outbreaks Physics Rotors Shafts, couplings, clutches, brakes Solid mechanics Structural and continuum mechanics Temporal logic Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | Vibration of a rotating shaft with randomly varying internal damping |
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