Study on excitation threshold of strong modulation response and vibration suppression performance of bistable nonlinear energy sink
The dynamics and vibration reduction performance of bistable nonlinear energy sink (BNES) are studied in this paper. First, the negative stiffness of BNES is realized by geometric nonlinearity, and the dynamics model of the system is established. The slow flow equation of the system under 1:1 main r...
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| Veröffentlicht in: | Journal of vibration and control 2024-05, Vol.30 (9-10), p.2171-2183 |
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| container_title | Journal of vibration and control |
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| creator | Wang, Yujiang Yang, Haiyan Song, Weizhi Lu, Chihua Liu, Zhien Zhou, Hui |
| description | The dynamics and vibration reduction performance of bistable nonlinear energy sink (BNES) are studied in this paper. First, the negative stiffness of BNES is realized by geometric nonlinearity, and the dynamics model of the system is established. The slow flow equation of the system under 1:1 main resonance is analyzed based on the complexification-averaging (CX-A) method, and the boundary conditions of saddle node bifurcation and Hopf bifurcation are analyzed. Second, the slow invariant manifold (SIM) of the BNES is studied based on multiscale analysis, and the excitation threshold of strongly modulated response (SMR) is analyzed; the analysis results are verified by the numerical method. The results show that the analytical solution is highly consistent with the numerical solution, and the error is less than 1%. Finally, the influence of structural parameters on the vibration reduction performance is analyzed and optimized. The vibration reduction performance of BNES and CNES is compared, and the results show that the BNES has better vibration reduction performance in the full frequency band. |
| doi_str_mv | 10.1177/10775463231175576 |
| format | Article |
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First, the negative stiffness of BNES is realized by geometric nonlinearity, and the dynamics model of the system is established. The slow flow equation of the system under 1:1 main resonance is analyzed based on the complexification-averaging (CX-A) method, and the boundary conditions of saddle node bifurcation and Hopf bifurcation are analyzed. Second, the slow invariant manifold (SIM) of the BNES is studied based on multiscale analysis, and the excitation threshold of strongly modulated response (SMR) is analyzed; the analysis results are verified by the numerical method. The results show that the analytical solution is highly consistent with the numerical solution, and the error is less than 1%. Finally, the influence of structural parameters on the vibration reduction performance is analyzed and optimized. The vibration reduction performance of BNES and CNES is compared, and the results show that the BNES has better vibration reduction performance in the full frequency band.</description><identifier>ISSN: 1077-5463</identifier><identifier>EISSN: 1741-2986</identifier><identifier>DOI: 10.1177/10775463231175576</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Boundary conditions ; Exact solutions ; Excitation ; Flow equations ; Frequencies ; Geometric nonlinearity ; Hopf bifurcation ; Multiscale analysis ; Numerical methods ; Vibration ; Vibration analysis ; Vibration control</subject><ispartof>Journal of vibration and control, 2024-05, Vol.30 (9-10), p.2171-2183</ispartof><rights>The Author(s) 2023</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c264t-da4e35a5a44eb47335c3fcbc67e1e6ae6c841c31562edf6e16558ddbc4c5529e3</cites><orcidid>0000-0001-8047-203X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1177/10775463231175576$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1177/10775463231175576$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,780,784,21819,27924,27925,43621,43622</link.rule.ids></links><search><creatorcontrib>Wang, Yujiang</creatorcontrib><creatorcontrib>Yang, Haiyan</creatorcontrib><creatorcontrib>Song, Weizhi</creatorcontrib><creatorcontrib>Lu, Chihua</creatorcontrib><creatorcontrib>Liu, Zhien</creatorcontrib><creatorcontrib>Zhou, Hui</creatorcontrib><title>Study on excitation threshold of strong modulation response and vibration suppression performance of bistable nonlinear energy sink</title><title>Journal of vibration and control</title><description>The dynamics and vibration reduction performance of bistable nonlinear energy sink (BNES) are studied in this paper. First, the negative stiffness of BNES is realized by geometric nonlinearity, and the dynamics model of the system is established. The slow flow equation of the system under 1:1 main resonance is analyzed based on the complexification-averaging (CX-A) method, and the boundary conditions of saddle node bifurcation and Hopf bifurcation are analyzed. Second, the slow invariant manifold (SIM) of the BNES is studied based on multiscale analysis, and the excitation threshold of strongly modulated response (SMR) is analyzed; the analysis results are verified by the numerical method. The results show that the analytical solution is highly consistent with the numerical solution, and the error is less than 1%. Finally, the influence of structural parameters on the vibration reduction performance is analyzed and optimized. The vibration reduction performance of BNES and CNES is compared, and the results show that the BNES has better vibration reduction performance in the full frequency band.</description><subject>Boundary conditions</subject><subject>Exact solutions</subject><subject>Excitation</subject><subject>Flow equations</subject><subject>Frequencies</subject><subject>Geometric nonlinearity</subject><subject>Hopf bifurcation</subject><subject>Multiscale analysis</subject><subject>Numerical methods</subject><subject>Vibration</subject><subject>Vibration analysis</subject><subject>Vibration control</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp1UMtKxDAULaLgOPoB7gKuOybNq7OUwRcMuFDXJU1uZzp2kpqk4qz9cVMquBBX99x7HhdOll0SvCBEymuCpeRM0IKmlXMpjrIZkYzkxbIUxwknPh8Fp9lZCDuMMWMEz7Kv5ziYA3IWwaduo4ptgnHrIWxdZ5BrUIje2Q3aOzN0E53I3tkASFmDPtraT-cw9H2iwoh78I3ze2U1jBl1G6KqO0DW2a61oDwCC35zQKG1b-fZSaO6ABc_c5693t2-rB7y9dP94-pmnetCsJgbxYByxRVjUDNJKde00bUWEggIBUKXjGhKuCjANAKI4Lw0ptZMc14sgc6zqym39-59gBCrnRu8TS8rinnBi7JYyqQik0p7F4KHpup9u1f-UBFcjV1Xf7pOnsXkCWoDv6n_G74BxiCCng</recordid><startdate>202405</startdate><enddate>202405</enddate><creator>Wang, Yujiang</creator><creator>Yang, Haiyan</creator><creator>Song, Weizhi</creator><creator>Lu, Chihua</creator><creator>Liu, Zhien</creator><creator>Zhou, Hui</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</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><orcidid>https://orcid.org/0000-0001-8047-203X</orcidid></search><sort><creationdate>202405</creationdate><title>Study on excitation threshold of strong modulation response and vibration suppression performance of bistable nonlinear energy sink</title><author>Wang, Yujiang ; Yang, Haiyan ; Song, Weizhi ; Lu, Chihua ; Liu, Zhien ; Zhou, Hui</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c264t-da4e35a5a44eb47335c3fcbc67e1e6ae6c841c31562edf6e16558ddbc4c5529e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Boundary conditions</topic><topic>Exact solutions</topic><topic>Excitation</topic><topic>Flow equations</topic><topic>Frequencies</topic><topic>Geometric nonlinearity</topic><topic>Hopf bifurcation</topic><topic>Multiscale analysis</topic><topic>Numerical methods</topic><topic>Vibration</topic><topic>Vibration analysis</topic><topic>Vibration control</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Yujiang</creatorcontrib><creatorcontrib>Yang, Haiyan</creatorcontrib><creatorcontrib>Song, Weizhi</creatorcontrib><creatorcontrib>Lu, Chihua</creatorcontrib><creatorcontrib>Liu, Zhien</creatorcontrib><creatorcontrib>Zhou, Hui</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications 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>Journal of vibration and control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Yujiang</au><au>Yang, Haiyan</au><au>Song, Weizhi</au><au>Lu, Chihua</au><au>Liu, Zhien</au><au>Zhou, Hui</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Study on excitation threshold of strong modulation response and vibration suppression performance of bistable nonlinear energy sink</atitle><jtitle>Journal of vibration and control</jtitle><date>2024-05</date><risdate>2024</risdate><volume>30</volume><issue>9-10</issue><spage>2171</spage><epage>2183</epage><pages>2171-2183</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>The dynamics and vibration reduction performance of bistable nonlinear energy sink (BNES) are studied in this paper. First, the negative stiffness of BNES is realized by geometric nonlinearity, and the dynamics model of the system is established. The slow flow equation of the system under 1:1 main resonance is analyzed based on the complexification-averaging (CX-A) method, and the boundary conditions of saddle node bifurcation and Hopf bifurcation are analyzed. Second, the slow invariant manifold (SIM) of the BNES is studied based on multiscale analysis, and the excitation threshold of strongly modulated response (SMR) is analyzed; the analysis results are verified by the numerical method. The results show that the analytical solution is highly consistent with the numerical solution, and the error is less than 1%. Finally, the influence of structural parameters on the vibration reduction performance is analyzed and optimized. The vibration reduction performance of BNES and CNES is compared, and the results show that the BNES has better vibration reduction performance in the full frequency band.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/10775463231175576</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0001-8047-203X</orcidid></addata></record> |
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| subjects | Boundary conditions Exact solutions Excitation Flow equations Frequencies Geometric nonlinearity Hopf bifurcation Multiscale analysis Numerical methods Vibration Vibration analysis Vibration control |
| title | Study on excitation threshold of strong modulation response and vibration suppression performance of bistable nonlinear energy sink |
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