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    Analytical Model for Enhanced Eigen-Mode Sensitivities in a Coupled Micro-Resonator Array for Ultra-Sensitive Mass Measurement

    Source: ASME Letters in Dynamic Systems and Control:;2021:;volume( 001 ):;issue: 003::page 031004-1
    Author:
    Chatterjee, Animesh
    DOI: 10.1115/1.4048657
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Resonant sensors using coupled micro-cantilever array have applications in a wide range of areas including ultrasensitive mass detection of bio-molecules and chemical analytes. A target mass deposited on one of the cantilevers can be detected by measuring shift in eigen-spectrum. Experimental observations indicate that eigenmodes are more sensitive to mass perturbation than resonant frequencies or eigenvalues. However, analytical works, available in literatures, are limited to only two and three cantilever array for eigenvalue sensitivity and only two cantilever array for eigenmode sensitivity. In the present work, an analytical foundation for estimation of eigenmode sensitivities for a general n-array micro-resonator sensor is developed using matrix perturbation theory. The formulation characterizes the modal spectrum and eigenmode sensitivities as a function of elastic interconnection stiffness parameter and unperturbed eigenmodes. Measurement of added mass is demonstrated for different analyte locations using numerically constructed frequency response function (FRF) curves. Error in measurement is also investigated as a function of interconnection stiffness ratio, position of analyte mass, and selection of particular eigenmode to be measured.
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      Analytical Model for Enhanced Eigen-Mode Sensitivities in a Coupled Micro-Resonator Array for Ultra-Sensitive Mass Measurement

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4275974
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    contributor authorChatterjee, Animesh
    date accessioned2022-02-04T23:02:35Z
    date available2022-02-04T23:02:35Z
    date copyright7/1/2021 12:00:00 AM
    date issued2021
    identifier issn2689-6117
    identifier otheraldsc_1_3_031004.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4275974
    description abstractResonant sensors using coupled micro-cantilever array have applications in a wide range of areas including ultrasensitive mass detection of bio-molecules and chemical analytes. A target mass deposited on one of the cantilevers can be detected by measuring shift in eigen-spectrum. Experimental observations indicate that eigenmodes are more sensitive to mass perturbation than resonant frequencies or eigenvalues. However, analytical works, available in literatures, are limited to only two and three cantilever array for eigenvalue sensitivity and only two cantilever array for eigenmode sensitivity. In the present work, an analytical foundation for estimation of eigenmode sensitivities for a general n-array micro-resonator sensor is developed using matrix perturbation theory. The formulation characterizes the modal spectrum and eigenmode sensitivities as a function of elastic interconnection stiffness parameter and unperturbed eigenmodes. Measurement of added mass is demonstrated for different analyte locations using numerically constructed frequency response function (FRF) curves. Error in measurement is also investigated as a function of interconnection stiffness ratio, position of analyte mass, and selection of particular eigenmode to be measured.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalytical Model for Enhanced Eigen-Mode Sensitivities in a Coupled Micro-Resonator Array for Ultra-Sensitive Mass Measurement
    typeJournal Paper
    journal volume1
    journal issue3
    journal titleASME Letters in Dynamic Systems and Control
    identifier doi10.1115/1.4048657
    journal fristpage031004-1
    journal lastpage031004-8
    page8
    treeASME Letters in Dynamic Systems and Control:;2021:;volume( 001 ):;issue: 003
    contenttypeFulltext
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