Analysis of chaotic vibration of Shilnikov-type in rotor with asymmetric and non-linear stiffness
We study the chaotic vibration of a rotor with an asymmetric and non-linear stiffness. The system of motion equations of the rotor in the fixed coordinate system is derived and converted to the normal form by the method of multiple scales. On the basis of the normal form, we derive the conditions un...
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| Veröffentlicht in: | International journal of non-linear mechanics 2019-03, Vol.109, p.132-139 |
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| container_title | International journal of non-linear mechanics |
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| creator | Kim, Yun-Sam Kim, Jong-Chol |
| description | We study the chaotic vibration of a rotor with an asymmetric and non-linear stiffness. The system of motion equations of the rotor in the fixed coordinate system is derived and converted to the normal form by the method of multiple scales. On the basis of the normal form, we derive the conditions under which the chaotic vibration of the Shilnikov-type in the rotor can occur. Finally, the numerical simulations are presented to verify the above-mentioned conditions.
•The system of motion equations of a rotor with an asymmetric stiffness.•The conditions of the generation of the chaotic vibration of Shilnikov-Type.•The numerical simulations. |
| doi_str_mv | 10.1016/j.ijnonlinmec.2018.12.002 |
| format | Article |
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•The system of motion equations of a rotor with an asymmetric stiffness.•The conditions of the generation of the chaotic vibration of Shilnikov-Type.•The numerical simulations.</description><identifier>ISSN: 0020-7462</identifier><identifier>EISSN: 1878-5638</identifier><identifier>DOI: 10.1016/j.ijnonlinmec.2018.12.002</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Asymmetric stiffness ; Chaotic vibration ; Computer simulation ; Coordinates ; Equations of motion ; Method of multiple scales ; Multiscale analysis ; Rotor ; Stiffness ; Vibration analysis</subject><ispartof>International journal of non-linear mechanics, 2019-03, Vol.109, p.132-139</ispartof><rights>2018 Elsevier Ltd</rights><rights>Copyright Elsevier BV Mar 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-9b1d29fdc8247a1ddc7e55d887ab4051bb17e11422dcd92ae0a2956d3a7faa913</citedby><cites>FETCH-LOGICAL-c349t-9b1d29fdc8247a1ddc7e55d887ab4051bb17e11422dcd92ae0a2956d3a7faa913</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijnonlinmec.2018.12.002$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3548,27923,27924,45994</link.rule.ids></links><search><creatorcontrib>Kim, Yun-Sam</creatorcontrib><creatorcontrib>Kim, Jong-Chol</creatorcontrib><title>Analysis of chaotic vibration of Shilnikov-type in rotor with asymmetric and non-linear stiffness</title><title>International journal of non-linear mechanics</title><description>We study the chaotic vibration of a rotor with an asymmetric and non-linear stiffness. The system of motion equations of the rotor in the fixed coordinate system is derived and converted to the normal form by the method of multiple scales. On the basis of the normal form, we derive the conditions under which the chaotic vibration of the Shilnikov-type in the rotor can occur. Finally, the numerical simulations are presented to verify the above-mentioned conditions.
•The system of motion equations of a rotor with an asymmetric stiffness.•The conditions of the generation of the chaotic vibration of Shilnikov-Type.•The numerical simulations.</description><subject>Asymmetric stiffness</subject><subject>Chaotic vibration</subject><subject>Computer simulation</subject><subject>Coordinates</subject><subject>Equations of motion</subject><subject>Method of multiple scales</subject><subject>Multiscale analysis</subject><subject>Rotor</subject><subject>Stiffness</subject><subject>Vibration analysis</subject><issn>0020-7462</issn><issn>1878-5638</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqNkE9LAzEUxIMoWKvfIeJ51yS722yOpfgPCh7Uc8gmWfrWblKTtLLf3pR68OjpwfB-w8wgdEtJSQld3A8lDM67LbjR6pIR2paUlYSwMzSjLW-LZlG152iWFVLwesEu0VWMA8lsTfgMqaVT2ylCxL7HeqN8Ao0P0AWVwLuj-LaBrYNPfyjStLMYHA4--YC_IW2witM42hQypJzBOUmRo1gVcEzQ987GeI0uerWN9ub3ztHH48P76rlYvz69rJbrQle1SIXoqGGiN7plNVfUGM1t05i25aqrSUO7jnJLac2Y0UYwZYliolmYSvFeKUGrObo7-e6C_9rbmOTg9yG3i5IxyjhhQlT5S5y-dPAxBtvLXYBRhUlSIo-LykH-WVQeF5WUybxfZlcn1uYaB7BBRg3WaWsgWJ2k8fAPlx-Z_IdG</recordid><startdate>201903</startdate><enddate>201903</enddate><creator>Kim, Yun-Sam</creator><creator>Kim, Jong-Chol</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201903</creationdate><title>Analysis of chaotic vibration of Shilnikov-type in rotor with asymmetric and non-linear stiffness</title><author>Kim, Yun-Sam ; Kim, Jong-Chol</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-9b1d29fdc8247a1ddc7e55d887ab4051bb17e11422dcd92ae0a2956d3a7faa913</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Asymmetric stiffness</topic><topic>Chaotic vibration</topic><topic>Computer simulation</topic><topic>Coordinates</topic><topic>Equations of motion</topic><topic>Method of multiple scales</topic><topic>Multiscale analysis</topic><topic>Rotor</topic><topic>Stiffness</topic><topic>Vibration analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kim, Yun-Sam</creatorcontrib><creatorcontrib>Kim, Jong-Chol</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of non-linear mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kim, Yun-Sam</au><au>Kim, Jong-Chol</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of chaotic vibration of Shilnikov-type in rotor with asymmetric and non-linear stiffness</atitle><jtitle>International journal of non-linear mechanics</jtitle><date>2019-03</date><risdate>2019</risdate><volume>109</volume><spage>132</spage><epage>139</epage><pages>132-139</pages><issn>0020-7462</issn><eissn>1878-5638</eissn><abstract>We study the chaotic vibration of a rotor with an asymmetric and non-linear stiffness. The system of motion equations of the rotor in the fixed coordinate system is derived and converted to the normal form by the method of multiple scales. On the basis of the normal form, we derive the conditions under which the chaotic vibration of the Shilnikov-type in the rotor can occur. Finally, the numerical simulations are presented to verify the above-mentioned conditions.
•The system of motion equations of a rotor with an asymmetric stiffness.•The conditions of the generation of the chaotic vibration of Shilnikov-Type.•The numerical simulations.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijnonlinmec.2018.12.002</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0020-7462 |
| ispartof | International journal of non-linear mechanics, 2019-03, Vol.109, p.132-139 |
| issn | 0020-7462 1878-5638 |
| language | eng |
| recordid | cdi_proquest_journals_2212702993 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Asymmetric stiffness Chaotic vibration Computer simulation Coordinates Equations of motion Method of multiple scales Multiscale analysis Rotor Stiffness Vibration analysis |
| title | Analysis of chaotic vibration of Shilnikov-type in rotor with asymmetric and non-linear stiffness |
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