Energy flow and performance of a nonlinear vibration isolator exploiting geometric nonlinearity by embedding springs in linkages
This study presents nonlinear vibration isolators with nonlinear elements created by the geometric nonlinearity of a linkage mechanism with embedded linear springs and investigates their dynamic behaviour and performance. Applications of the proposed isolator to single degree-of-freedom (DOF) system...
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| Veröffentlicht in: | Acta mechanica 2022-04, Vol.233 (4), p.1663-1687 |
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| creator | Dai, Wei Li, Tianyun Yang, Jian |
| description | This study presents nonlinear vibration isolators with nonlinear elements created by the geometric nonlinearity of a linkage mechanism with embedded linear springs and investigates their dynamic behaviour and performance. Applications of the proposed isolator to single degree-of-freedom (DOF) systems subjected to force and base-motion excitations and to a two-DOF system with a flexible foundation are considered. The steady-state responses of systems with such isolators are obtained using the harmonic balance (HB) method and a numerical time-marching method. Force and displacement transmissibilities as well as time-averaged energy flow of the nonlinear isolator are employed as indices for performance evaluations. It is shown that the use of the proposed nonlinear element can enlarge the frequency range of effective isolation. Substantial reductions can be found in the peak values of frequency response, displacement transmissibility and kinetic energy of the SDOF nonlinear isolation systems. The peaks in the curves of energy transmission and force transmission are shifted to low frequencies with reduced peak values, beneficial to the suppression of vibration transmission to the flexible base. |
| doi_str_mv | 10.1007/s00707-022-03182-x |
| format | Article |
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Applications of the proposed isolator to single degree-of-freedom (DOF) systems subjected to force and base-motion excitations and to a two-DOF system with a flexible foundation are considered. The steady-state responses of systems with such isolators are obtained using the harmonic balance (HB) method and a numerical time-marching method. Force and displacement transmissibilities as well as time-averaged energy flow of the nonlinear isolator are employed as indices for performance evaluations. It is shown that the use of the proposed nonlinear element can enlarge the frequency range of effective isolation. Substantial reductions can be found in the peak values of frequency response, displacement transmissibility and kinetic energy of the SDOF nonlinear isolation systems. The peaks in the curves of energy transmission and force transmission are shifted to low frequencies with reduced peak values, beneficial to the suppression of vibration transmission to the flexible base.</description><identifier>ISSN: 0001-5970</identifier><identifier>EISSN: 1619-6937</identifier><identifier>DOI: 10.1007/s00707-022-03182-x</identifier><language>eng</language><publisher>Vienna: Springer Vienna</publisher><subject>Classical and Continuum Physics ; Control ; Degrees of freedom ; Dynamical Systems ; Embedding ; Energy ; Energy flow ; Energy transmission ; Engineering ; Engineering Fluid Dynamics ; Engineering Thermodynamics ; Force and energy ; Frequency ranges ; Frequency response ; Geometric nonlinearity ; Gravitational waves ; Heat and Mass Transfer ; Investigations ; Isolation systems ; Kinetic energy ; Linkage mechanisms ; Nonlinear systems ; Original Paper ; Performance evaluation ; Solid Mechanics ; Springs (elastic) ; Theoretical and Applied Mechanics ; Vibration ; Vibration isolators</subject><ispartof>Acta mechanica, 2022-04, Vol.233 (4), p.1663-1687</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022</rights><rights>COPYRIGHT 2022 Springer</rights><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c358t-e0f91bc6338367f72c1175a01ffc1f515b8b61d9e92dfea708c2797bd23bab5e3</citedby><cites>FETCH-LOGICAL-c358t-e0f91bc6338367f72c1175a01ffc1f515b8b61d9e92dfea708c2797bd23bab5e3</cites><orcidid>0000-0003-4255-9622 ; 0000-0002-3435-0610</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00707-022-03182-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00707-022-03182-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27911,27912,41475,42544,51306</link.rule.ids></links><search><creatorcontrib>Dai, Wei</creatorcontrib><creatorcontrib>Li, Tianyun</creatorcontrib><creatorcontrib>Yang, Jian</creatorcontrib><title>Energy flow and performance of a nonlinear vibration isolator exploiting geometric nonlinearity by embedding springs in linkages</title><title>Acta mechanica</title><addtitle>Acta Mech</addtitle><description>This study presents nonlinear vibration isolators with nonlinear elements created by the geometric nonlinearity of a linkage mechanism with embedded linear springs and investigates their dynamic behaviour and performance. Applications of the proposed isolator to single degree-of-freedom (DOF) systems subjected to force and base-motion excitations and to a two-DOF system with a flexible foundation are considered. The steady-state responses of systems with such isolators are obtained using the harmonic balance (HB) method and a numerical time-marching method. Force and displacement transmissibilities as well as time-averaged energy flow of the nonlinear isolator are employed as indices for performance evaluations. It is shown that the use of the proposed nonlinear element can enlarge the frequency range of effective isolation. Substantial reductions can be found in the peak values of frequency response, displacement transmissibility and kinetic energy of the SDOF nonlinear isolation systems. The peaks in the curves of energy transmission and force transmission are shifted to low frequencies with reduced peak values, beneficial to the suppression of vibration transmission to the flexible base.</description><subject>Classical and Continuum Physics</subject><subject>Control</subject><subject>Degrees of freedom</subject><subject>Dynamical Systems</subject><subject>Embedding</subject><subject>Energy</subject><subject>Energy flow</subject><subject>Energy transmission</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>Engineering Thermodynamics</subject><subject>Force and energy</subject><subject>Frequency ranges</subject><subject>Frequency response</subject><subject>Geometric nonlinearity</subject><subject>Gravitational waves</subject><subject>Heat and Mass Transfer</subject><subject>Investigations</subject><subject>Isolation systems</subject><subject>Kinetic energy</subject><subject>Linkage mechanisms</subject><subject>Nonlinear systems</subject><subject>Original Paper</subject><subject>Performance evaluation</subject><subject>Solid Mechanics</subject><subject>Springs (elastic)</subject><subject>Theoretical and Applied Mechanics</subject><subject>Vibration</subject><subject>Vibration isolators</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kU1P7SAQhonRxOPHH3BF4rrKwGlpl8ao9yYmbnRNgA4N2sK5UPWcnT9dvDVxZ0iYDHmf-eAl5AzYBTAmL3O5mKwY5xUT0PJqu0dW0EBXNZ2Q-2TFGIOq7iQ7JEc5P5eMyzWsyMdNwDTsqBvjO9WhpxtMLqZJB4s0OqppiGH0AXWib94kPfsYqM9x1HNMFLebMfrZh4EOGCeck7c_hJ931OwoTgb7_kuTN6mETH2gRfGiB8wn5MDpMePpdzwmT7c3j9d_qvuHu7_XV_eVFXU7V8hcB8Y2QrSikU5yCyBrzcA5C66G2rSmgb7DjvcOtWSt5bKTpufCaFOjOCbnS91Niv9eMc_qOb6mUFoq3tRiDaKT66K6WFSDHlH54OKctC2nx8nbGND58n4lGQjB21YUgC-ATTHnhE6VFSeddgqY-rJGLdaoYo36b43aFkgs0PIfmH5m-YX6BK6xlOE</recordid><startdate>20220401</startdate><enddate>20220401</enddate><creator>Dai, Wei</creator><creator>Li, Tianyun</creator><creator>Yang, Jian</creator><general>Springer Vienna</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope><orcidid>https://orcid.org/0000-0003-4255-9622</orcidid><orcidid>https://orcid.org/0000-0002-3435-0610</orcidid></search><sort><creationdate>20220401</creationdate><title>Energy flow and performance of a nonlinear vibration isolator exploiting geometric nonlinearity by embedding springs in linkages</title><author>Dai, Wei ; Li, Tianyun ; Yang, Jian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c358t-e0f91bc6338367f72c1175a01ffc1f515b8b61d9e92dfea708c2797bd23bab5e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Classical and Continuum Physics</topic><topic>Control</topic><topic>Degrees of freedom</topic><topic>Dynamical Systems</topic><topic>Embedding</topic><topic>Energy</topic><topic>Energy flow</topic><topic>Energy transmission</topic><topic>Engineering</topic><topic>Engineering Fluid Dynamics</topic><topic>Engineering Thermodynamics</topic><topic>Force and energy</topic><topic>Frequency ranges</topic><topic>Frequency response</topic><topic>Geometric nonlinearity</topic><topic>Gravitational waves</topic><topic>Heat and Mass Transfer</topic><topic>Investigations</topic><topic>Isolation systems</topic><topic>Kinetic energy</topic><topic>Linkage mechanisms</topic><topic>Nonlinear systems</topic><topic>Original Paper</topic><topic>Performance evaluation</topic><topic>Solid Mechanics</topic><topic>Springs (elastic)</topic><topic>Theoretical and Applied Mechanics</topic><topic>Vibration</topic><topic>Vibration isolators</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dai, Wei</creatorcontrib><creatorcontrib>Li, Tianyun</creatorcontrib><creatorcontrib>Yang, Jian</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dai, Wei</au><au>Li, Tianyun</au><au>Yang, Jian</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Energy flow and performance of a nonlinear vibration isolator exploiting geometric nonlinearity by embedding springs in linkages</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2022-04-01</date><risdate>2022</risdate><volume>233</volume><issue>4</issue><spage>1663</spage><epage>1687</epage><pages>1663-1687</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><abstract>This study presents nonlinear vibration isolators with nonlinear elements created by the geometric nonlinearity of a linkage mechanism with embedded linear springs and investigates their dynamic behaviour and performance. Applications of the proposed isolator to single degree-of-freedom (DOF) systems subjected to force and base-motion excitations and to a two-DOF system with a flexible foundation are considered. The steady-state responses of systems with such isolators are obtained using the harmonic balance (HB) method and a numerical time-marching method. Force and displacement transmissibilities as well as time-averaged energy flow of the nonlinear isolator are employed as indices for performance evaluations. It is shown that the use of the proposed nonlinear element can enlarge the frequency range of effective isolation. Substantial reductions can be found in the peak values of frequency response, displacement transmissibility and kinetic energy of the SDOF nonlinear isolation systems. The peaks in the curves of energy transmission and force transmission are shifted to low frequencies with reduced peak values, beneficial to the suppression of vibration transmission to the flexible base.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-022-03182-x</doi><tpages>25</tpages><orcidid>https://orcid.org/0000-0003-4255-9622</orcidid><orcidid>https://orcid.org/0000-0002-3435-0610</orcidid></addata></record> |
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| subjects | Classical and Continuum Physics Control Degrees of freedom Dynamical Systems Embedding Energy Energy flow Energy transmission Engineering Engineering Fluid Dynamics Engineering Thermodynamics Force and energy Frequency ranges Frequency response Geometric nonlinearity Gravitational waves Heat and Mass Transfer Investigations Isolation systems Kinetic energy Linkage mechanisms Nonlinear systems Original Paper Performance evaluation Solid Mechanics Springs (elastic) Theoretical and Applied Mechanics Vibration Vibration isolators |
| title | Energy flow and performance of a nonlinear vibration isolator exploiting geometric nonlinearity by embedding springs in linkages |
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