Internal resonance based sensing in non-contact atomic force microscopy
In this letter, the nonlinear dynamics of a non-uniform micro-cantilever for atomic force microscopy is investigated numerically for a non-contact mode of operation. A step-like heterogeneity in the cantilever longitudinal direction yields conditions for both 3:1 and 2:1 internal resonances that gov...
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Veröffentlicht in: | Applied physics letters 2012-07, Vol.101 (5), p.53106 |
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description | In this letter, the nonlinear dynamics of a non-uniform micro-cantilever for atomic force microscopy is investigated numerically for a non-contact mode of operation. A step-like heterogeneity in the cantilever longitudinal direction yields conditions for both 3:1 and 2:1 internal resonances that govern quasiperiodic energy transfer between the first and second structural bending modes. Thus, quasiperiodic micro-cantilever response can enable multiple function sensing, and possible increased accuracy of time-varying forces via single frequency base excitation. |
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Thus, quasiperiodic micro-cantilever response can enable multiple function sensing, and possible increased accuracy of time-varying forces via single frequency base excitation.</description><identifier>ISSN: 0003-6951</identifier><identifier>EISSN: 1077-3118</identifier><identifier>DOI: 10.1063/1.4739416</identifier><language>eng</language><subject>Atomic force microscopy ; Bending ; Detection ; Energy transfer ; Heterogeneity ; Mathematical analysis ; Mathematical models ; Nonlinear dynamics</subject><ispartof>Applied physics letters, 2012-07, Vol.101 (5), p.53106</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c328t-d853bf884c6878073fdae7a253b9555e117ea2e6e38b3f5e5e466c323f3f92c93</citedby><cites>FETCH-LOGICAL-c328t-d853bf884c6878073fdae7a253b9555e117ea2e6e38b3f5e5e466c323f3f92c93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Hacker, E.</creatorcontrib><creatorcontrib>Gottlieb, O.</creatorcontrib><title>Internal resonance based sensing in non-contact atomic force microscopy</title><title>Applied physics letters</title><description>In this letter, the nonlinear dynamics of a non-uniform micro-cantilever for atomic force microscopy is investigated numerically for a non-contact mode of operation. A step-like heterogeneity in the cantilever longitudinal direction yields conditions for both 3:1 and 2:1 internal resonances that govern quasiperiodic energy transfer between the first and second structural bending modes. Thus, quasiperiodic micro-cantilever response can enable multiple function sensing, and possible increased accuracy of time-varying forces via single frequency base excitation.</description><subject>Atomic force microscopy</subject><subject>Bending</subject><subject>Detection</subject><subject>Energy transfer</subject><subject>Heterogeneity</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Nonlinear dynamics</subject><issn>0003-6951</issn><issn>1077-3118</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNotkM1OwzAQhC0EEqVw4A18hEOKNxv_5IgqKJUqcYGz5bhrFJTaxU4PfXtStafdHX07Gg1jjyAWIBS-wKLR2DagrtgMhNYVAphrNhNCYKVaCbfsrpTf6ZQ14oyt1nGkHN3AM5UUXfTEO1doywvF0scf3kceU6x8iqPzI3dj2vWeh5QnctpyKj7tj_fsJrih0MNlztn3-9vX8qPafK7Wy9dN5bE2Y7U1ErtgTOOV0UZoDFtH2tWT2kopCUCTq0kRmg6DJEmNUtMrBgxt7Vucs6ez7z6nvwOV0e764mkYXKR0KBaUhqathaon9PmMnjKWTMHuc79z-WhB2FNZFuylLPwHIUxbjQ</recordid><startdate>20120730</startdate><enddate>20120730</enddate><creator>Hacker, E.</creator><creator>Gottlieb, O.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20120730</creationdate><title>Internal resonance based sensing in non-contact atomic force microscopy</title><author>Hacker, E. ; Gottlieb, O.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c328t-d853bf884c6878073fdae7a253b9555e117ea2e6e38b3f5e5e466c323f3f92c93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Atomic force microscopy</topic><topic>Bending</topic><topic>Detection</topic><topic>Energy transfer</topic><topic>Heterogeneity</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Nonlinear dynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hacker, E.</creatorcontrib><creatorcontrib>Gottlieb, O.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research 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>Hacker, E.</au><au>Gottlieb, O.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Internal resonance based sensing in non-contact atomic force microscopy</atitle><jtitle>Applied physics letters</jtitle><date>2012-07-30</date><risdate>2012</risdate><volume>101</volume><issue>5</issue><spage>53106</spage><pages>53106-</pages><issn>0003-6951</issn><eissn>1077-3118</eissn><abstract>In this letter, the nonlinear dynamics of a non-uniform micro-cantilever for atomic force microscopy is investigated numerically for a non-contact mode of operation. A step-like heterogeneity in the cantilever longitudinal direction yields conditions for both 3:1 and 2:1 internal resonances that govern quasiperiodic energy transfer between the first and second structural bending modes. Thus, quasiperiodic micro-cantilever response can enable multiple function sensing, and possible increased accuracy of time-varying forces via single frequency base excitation.</abstract><doi>10.1063/1.4739416</doi></addata></record> |
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subjects | Atomic force microscopy Bending Detection Energy transfer Heterogeneity Mathematical analysis Mathematical models Nonlinear dynamics |
title | Internal resonance based sensing in non-contact atomic force microscopy |
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