Inherent non-linear damping in resonators with inertia amplification
Inertia amplification is a mechanism coupling degrees of freedom within a vibrating structure. Its goal is to achieve an apparent high dynamic mass and, accordingly, a low resonance frequency. Such structures have been described for use in locally resonant metamaterials and phononic crystals to lowe...
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| Veröffentlicht in: | Applied physics letters 2021-08, Vol.119 (6) |
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| container_title | Applied physics letters |
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| creator | Van Damme, B. Hannema, G. Sales Souza, L. Weisse, B. Tallarico, D. Bergamini, A. |
| description | Inertia amplification is a mechanism coupling degrees of freedom within a vibrating structure. Its goal is to achieve an apparent high dynamic mass and, accordingly, a low resonance frequency. Such structures have been described for use in locally resonant metamaterials and phononic crystals to lower the starting frequency of a bandgap without adding mass to the system. This study shows that any non-linear kinematic coupling between translational or rotational vibrations leads to the appearance of amplitude-dependent damping. The analytical derivation of the equation of motion of a resonator with inertia amplification creates insight in the damping process and shows that the vibration damping increases with its amplitude. The theoretical study is validated by experimental evidence from two types of inertia-amplification resonators. Finally, the importance of amplitude-dependent damping is illustrated when the structure is used as a tuned mass damper for a cantilever beam. |
| doi_str_mv | 10.1063/5.0061826 |
| format | Article |
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Its goal is to achieve an apparent high dynamic mass and, accordingly, a low resonance frequency. Such structures have been described for use in locally resonant metamaterials and phononic crystals to lower the starting frequency of a bandgap without adding mass to the system. This study shows that any non-linear kinematic coupling between translational or rotational vibrations leads to the appearance of amplitude-dependent damping. The analytical derivation of the equation of motion of a resonator with inertia amplification creates insight in the damping process and shows that the vibration damping increases with its amplitude. The theoretical study is validated by experimental evidence from two types of inertia-amplification resonators. 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Finally, the importance of amplitude-dependent damping is illustrated when the structure is used as a tuned mass damper for a cantilever beam.</description><subject>Amplification</subject><subject>Amplitudes</subject><subject>Applied physics</subject><subject>Cantilever beams</subject><subject>Coupling</subject><subject>Equations of motion</subject><subject>Inertia</subject><subject>Linear damping</subject><subject>Metamaterials</subject><subject>Resonators</subject><subject>Vibration damping</subject><subject>Vibration isolators</subject><issn>0003-6951</issn><issn>1077-3118</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqd0M1OAyEQAGBiNLFWD77BJp40oTLLAt2jqX9NmnjRM2EpWJoWVqAa317qNvHuaWbgy0xmELoEMgHC6S2bEMJhWvMjNAIiBKYA02M0IoRQzFsGp-gspXUpWU3pCN3P_cpE43Plg8cb542K1VJte-ffK-eraFLwKoeYqi-XV-XJxOxUVcTGWadVdsGfoxOrNslcHOIYvT0-vM6e8eLlaT67W2BNa5GxsK21VigNojFaMEoEsaLlTCnoOtZQvU9bxjXrVKMFVaz8s2WBIDRwOkZXQ98-ho-dSVmuwy76MlLWjBNo6LRtiroelI4hpWis7KPbqvgtgcj9kSSThyMVezPYpF3-3eV_-DPEPyj7paU_T8507w</recordid><startdate>20210809</startdate><enddate>20210809</enddate><creator>Van Damme, B.</creator><creator>Hannema, G.</creator><creator>Sales Souza, L.</creator><creator>Weisse, B.</creator><creator>Tallarico, D.</creator><creator>Bergamini, A.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-5267-5777</orcidid><orcidid>https://orcid.org/0000-0001-9289-861X</orcidid><orcidid>https://orcid.org/0000-0003-2722-3207</orcidid></search><sort><creationdate>20210809</creationdate><title>Inherent non-linear damping in resonators with inertia amplification</title><author>Van Damme, B. ; Hannema, G. ; Sales Souza, L. ; Weisse, B. ; Tallarico, D. ; Bergamini, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-7f9fff7ac174ec753070f7965aa1bb543c65aa956c5ba4c73a50f75d53017c163</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Amplification</topic><topic>Amplitudes</topic><topic>Applied physics</topic><topic>Cantilever beams</topic><topic>Coupling</topic><topic>Equations of motion</topic><topic>Inertia</topic><topic>Linear damping</topic><topic>Metamaterials</topic><topic>Resonators</topic><topic>Vibration damping</topic><topic>Vibration isolators</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Van Damme, B.</creatorcontrib><creatorcontrib>Hannema, G.</creatorcontrib><creatorcontrib>Sales Souza, L.</creatorcontrib><creatorcontrib>Weisse, B.</creatorcontrib><creatorcontrib>Tallarico, D.</creatorcontrib><creatorcontrib>Bergamini, A.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Applied physics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Van Damme, B.</au><au>Hannema, G.</au><au>Sales Souza, L.</au><au>Weisse, B.</au><au>Tallarico, D.</au><au>Bergamini, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Inherent non-linear damping in resonators with inertia amplification</atitle><jtitle>Applied physics letters</jtitle><date>2021-08-09</date><risdate>2021</risdate><volume>119</volume><issue>6</issue><issn>0003-6951</issn><eissn>1077-3118</eissn><coden>APPLAB</coden><abstract>Inertia amplification is a mechanism coupling degrees of freedom within a vibrating structure. 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| ispartof | Applied physics letters, 2021-08, Vol.119 (6) |
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| language | eng |
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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Amplification Amplitudes Applied physics Cantilever beams Coupling Equations of motion Inertia Linear damping Metamaterials Resonators Vibration damping Vibration isolators |
| title | Inherent non-linear damping in resonators with inertia amplification |
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