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Response spectrum of coupled nanomechanical resonators
We develop a simple continuum model to analyze the vibrational modes of a nanomechanical multielement structure. In this model, arrays of submicron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the equations of...
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Published in: | Journal of applied physics 2008-10, Vol.104 (7), p.073532-073532-12 |
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cited_by | cdi_FETCH-LOGICAL-c419t-1e73ae8d001ccd9a6fb89c274546bd09376d455f34d27c0dab90ef346c2086073 |
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cites | cdi_FETCH-LOGICAL-c419t-1e73ae8d001ccd9a6fb89c274546bd09376d455f34d27c0dab90ef346c2086073 |
container_end_page | 073532-12 |
container_issue | 7 |
container_start_page | 073532 |
container_title | Journal of applied physics |
container_volume | 104 |
creator | Dorignac, J. Gaidarzhy, A. Mohanty, P. |
description | We develop a simple
continuum
model to analyze the vibrational modes of a nanomechanical multielement structure. In this model, arrays of submicron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the equations of motion of the structure become exactly solvable. Our analytical results capture the main features of the vibrational modes observed both numerically and experimentally and can be applied to a general class of scale-independent elasticaly coupled resonator structures. |
doi_str_mv | 10.1063/1.2996031 |
format | article |
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continuum
model to analyze the vibrational modes of a nanomechanical multielement structure. In this model, arrays of submicron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the equations of motion of the structure become exactly solvable. Our analytical results capture the main features of the vibrational modes observed both numerically and experimentally and can be applied to a general class of scale-independent elasticaly coupled resonator structures.</description><identifier>ISSN: 0021-8979</identifier><identifier>EISSN: 1089-7550</identifier><identifier>DOI: 10.1063/1.2996031</identifier><identifier>CODEN: JAPIAU</identifier><language>eng</language><publisher>American Institute of Physics</publisher><subject>Nonlinear Sciences ; Pattern Formation and Solitons</subject><ispartof>Journal of applied physics, 2008-10, Vol.104 (7), p.073532-073532-12</ispartof><rights>2008 American Institute of Physics</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c419t-1e73ae8d001ccd9a6fb89c274546bd09376d455f34d27c0dab90ef346c2086073</citedby><cites>FETCH-LOGICAL-c419t-1e73ae8d001ccd9a6fb89c274546bd09376d455f34d27c0dab90ef346c2086073</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,315,786,790,891,27957,27958</link.rule.ids><backlink>$$Uhttps://hal.science/hal-00378494$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Dorignac, J.</creatorcontrib><creatorcontrib>Gaidarzhy, A.</creatorcontrib><creatorcontrib>Mohanty, P.</creatorcontrib><title>Response spectrum of coupled nanomechanical resonators</title><title>Journal of applied physics</title><description>We develop a simple
continuum
model to analyze the vibrational modes of a nanomechanical multielement structure. In this model, arrays of submicron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the equations of motion of the structure become exactly solvable. Our analytical results capture the main features of the vibrational modes observed both numerically and experimentally and can be applied to a general class of scale-independent elasticaly coupled resonator structures.</description><subject>Nonlinear Sciences</subject><subject>Pattern Formation and Solitons</subject><issn>0021-8979</issn><issn>1089-7550</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp1kE1Lw0AQhhdRsFYP_oNcPaTOZDf7cRFKUSsEBNHzstnd0EiaDbup4L83pa2ePA0zPPO-8BByi7BA4PQeF4VSHCiekRmCVLkoSzgnM4ACc6mEuiRXKX0CIEqqZoS_-TSEPvksDd6OcbfNQpPZsBs677Le9GHr7cb0rTVdFn0KvRlDTNfkojFd8jfHOScfT4_vq3VevT6_rJZVbhmqMUcvqPHSTXXWOmV4U0tlC8FKxmsHigruWFk2lLlCWHCmVuCnjdsCJAdB5-TukLsxnR5iuzXxWwfT6vWy0vsbABWSKfaFf6yNIaXom98HBL2Xo1Ef5Uzsw4FNth3N2Ib-f_hkSJ8M6dDQHzJqa1k</recordid><startdate>20081001</startdate><enddate>20081001</enddate><creator>Dorignac, J.</creator><creator>Gaidarzhy, A.</creator><creator>Mohanty, P.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope></search><sort><creationdate>20081001</creationdate><title>Response spectrum of coupled nanomechanical resonators</title><author>Dorignac, J. ; Gaidarzhy, A. ; Mohanty, P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c419t-1e73ae8d001ccd9a6fb89c274546bd09376d455f34d27c0dab90ef346c2086073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Nonlinear Sciences</topic><topic>Pattern Formation and Solitons</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dorignac, J.</creatorcontrib><creatorcontrib>Gaidarzhy, A.</creatorcontrib><creatorcontrib>Mohanty, P.</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Journal of applied physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dorignac, J.</au><au>Gaidarzhy, A.</au><au>Mohanty, P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Response spectrum of coupled nanomechanical resonators</atitle><jtitle>Journal of applied physics</jtitle><date>2008-10-01</date><risdate>2008</risdate><volume>104</volume><issue>7</issue><spage>073532</spage><epage>073532-12</epage><pages>073532-073532-12</pages><issn>0021-8979</issn><eissn>1089-7550</eissn><coden>JAPIAU</coden><abstract>We develop a simple
continuum
model to analyze the vibrational modes of a nanomechanical multielement structure. In this model, arrays of submicron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the equations of motion of the structure become exactly solvable. Our analytical results capture the main features of the vibrational modes observed both numerically and experimentally and can be applied to a general class of scale-independent elasticaly coupled resonator structures.</abstract><pub>American Institute of Physics</pub><doi>10.1063/1.2996031</doi><oa>free_for_read</oa></addata></record> |
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issn | 0021-8979 1089-7550 |
language | eng |
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source | American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list) |
subjects | Nonlinear Sciences Pattern Formation and Solitons |
title | Response spectrum of coupled nanomechanical resonators |
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