Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators
Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhao, Jian [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2023 |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990, 111(2023), 20 vom: 28. Aug., Seite 18861-18884 |
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| Übergeordnetes Werk: |
volume:111 ; year:2023 ; number:20 ; day:28 ; month:08 ; pages:18861-18884 |
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| DOI / URN: |
10.1007/s11071-023-08829-5 |
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SPR053359992 |
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| 520 | |a Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. | ||
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| 650 | 4 | |a Multiple internal resonances |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Coupled resonators |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Nonlinear dynamics |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Bifurcations |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Sun, Rongjian |4 aut | |
| 700 | 1 | |a Kacem, Najib |4 aut | |
| 700 | 1 | |a Lyu, Ming |4 aut | |
| 700 | 1 | |a Liu, Pengbo |4 aut | |
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10.1007/s11071-023-08829-5 doi (DE-627)SPR053359992 (SPR)s11071-023-08829-5-e DE-627 ger DE-627 rakwb eng Zhao, Jian verfasserin (orcid)0000-0002-2609-8259 aut Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. Mass sensor (dpeaa)DE-He213 Multiple internal resonances (dpeaa)DE-He213 Coupled resonators (dpeaa)DE-He213 Nonlinear dynamics (dpeaa)DE-He213 Bifurcations (dpeaa)DE-He213 Sun, Rongjian aut Kacem, Najib aut Lyu, Ming aut Liu, Pengbo aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2023), 20 vom: 28. Aug., Seite 18861-18884 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2023 number:20 day:28 month:08 pages:18861-18884 https://dx.doi.org/10.1007/s11071-023-08829-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2023 20 28 08 18861-18884 |
| spelling |
10.1007/s11071-023-08829-5 doi (DE-627)SPR053359992 (SPR)s11071-023-08829-5-e DE-627 ger DE-627 rakwb eng Zhao, Jian verfasserin (orcid)0000-0002-2609-8259 aut Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. Mass sensor (dpeaa)DE-He213 Multiple internal resonances (dpeaa)DE-He213 Coupled resonators (dpeaa)DE-He213 Nonlinear dynamics (dpeaa)DE-He213 Bifurcations (dpeaa)DE-He213 Sun, Rongjian aut Kacem, Najib aut Lyu, Ming aut Liu, Pengbo aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2023), 20 vom: 28. Aug., Seite 18861-18884 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2023 number:20 day:28 month:08 pages:18861-18884 https://dx.doi.org/10.1007/s11071-023-08829-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2023 20 28 08 18861-18884 |
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10.1007/s11071-023-08829-5 doi (DE-627)SPR053359992 (SPR)s11071-023-08829-5-e DE-627 ger DE-627 rakwb eng Zhao, Jian verfasserin (orcid)0000-0002-2609-8259 aut Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. Mass sensor (dpeaa)DE-He213 Multiple internal resonances (dpeaa)DE-He213 Coupled resonators (dpeaa)DE-He213 Nonlinear dynamics (dpeaa)DE-He213 Bifurcations (dpeaa)DE-He213 Sun, Rongjian aut Kacem, Najib aut Lyu, Ming aut Liu, Pengbo aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2023), 20 vom: 28. Aug., Seite 18861-18884 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2023 number:20 day:28 month:08 pages:18861-18884 https://dx.doi.org/10.1007/s11071-023-08829-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2023 20 28 08 18861-18884 |
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10.1007/s11071-023-08829-5 doi (DE-627)SPR053359992 (SPR)s11071-023-08829-5-e DE-627 ger DE-627 rakwb eng Zhao, Jian verfasserin (orcid)0000-0002-2609-8259 aut Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. Mass sensor (dpeaa)DE-He213 Multiple internal resonances (dpeaa)DE-He213 Coupled resonators (dpeaa)DE-He213 Nonlinear dynamics (dpeaa)DE-He213 Bifurcations (dpeaa)DE-He213 Sun, Rongjian aut Kacem, Najib aut Lyu, Ming aut Liu, Pengbo aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2023), 20 vom: 28. Aug., Seite 18861-18884 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2023 number:20 day:28 month:08 pages:18861-18884 https://dx.doi.org/10.1007/s11071-023-08829-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2023 20 28 08 18861-18884 |
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10.1007/s11071-023-08829-5 doi (DE-627)SPR053359992 (SPR)s11071-023-08829-5-e DE-627 ger DE-627 rakwb eng Zhao, Jian verfasserin (orcid)0000-0002-2609-8259 aut Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. Mass sensor (dpeaa)DE-He213 Multiple internal resonances (dpeaa)DE-He213 Coupled resonators (dpeaa)DE-He213 Nonlinear dynamics (dpeaa)DE-He213 Bifurcations (dpeaa)DE-He213 Sun, Rongjian aut Kacem, Najib aut Lyu, Ming aut Liu, Pengbo aut Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 111(2023), 20 vom: 28. Aug., Seite 18861-18884 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:111 year:2023 number:20 day:28 month:08 pages:18861-18884 https://dx.doi.org/10.1007/s11071-023-08829-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 111 2023 20 28 08 18861-18884 |
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. 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Zhao, Jian |
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Zhao, Jian misc Mass sensor misc Multiple internal resonances misc Coupled resonators misc Nonlinear dynamics misc Bifurcations Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators |
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Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators Mass sensor (dpeaa)DE-He213 Multiple internal resonances (dpeaa)DE-He213 Coupled resonators (dpeaa)DE-He213 Nonlinear dynamics (dpeaa)DE-He213 Bifurcations (dpeaa)DE-He213 |
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multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators |
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Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators |
| abstract |
Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract Multiple internal resonances in three electrostatically coupled microbeams have been theoretically investigated and were utilized to multi-channel mass detection. The frequency ratio among the three electrostatically coupled resonators of different sizes can be tuned to satisfy the specific conditions for multiple internal resonances. A reduced order model considering quadratic nonlinearity and frequency commensurability is established, and solved by the method of multiple scales, and verified by the harmonic balance method combined with the asymptotic numerical method. The nonlinear dynamics involving pitchfork and saddle-node bifurcations were analyzed and utilized to detect single, dual, or even multiple masses simultaneously. The frequency shift of the bifurcation points or the amplitude shift of a specific operating frequency near the bifurcation point were introduced as an output sensitivity. And then, a multi-channel single output detection mechanism was proposed, in addition to a single mass detection, the proposed sensor enables dual or even multi-channel mass detections based on frequency and amplitude shifts of pitchfork and saddle-node bifurcation points of the coupled and uncoupled vibration states. Furthermore, the effects of driving and coupling voltages on the dynamic response of the system were obtained. This work not only proposes a new way for multi-channel mass detection, but also provides technical support for multi-channel detection of other signals. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Multi-channel mass sensing based on multiple internal resonances in three electrostatically coupled resonators |
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https://dx.doi.org/10.1007/s11071-023-08829-5 |
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Sun, Rongjian Kacem, Najib Lyu, Ming Liu, Pengbo |
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10.1007/s11071-023-08829-5 |
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2024-07-03T18:57:32.363Z |
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|
| score |
7.400032 |