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A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers

Sondipon Adhikari, Hamed Haddad Khodaparast Orcid Logo

Physica E: Low-dimensional Systems and Nanostructures, Volume: 125, Start page: 114366

Swansea University Authors: Sondipon Adhikari, Hamed Haddad Khodaparast Orcid Logo

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Abstract

Nano and micromechanical mass sensing using cantilever oscillators of different length-scales has been an established approach. The main principle underpinning this technique is the shift in the resonance frequency caused by the additional mass in the dynamic system. While the mass of an object to b...

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Published in: Physica E: Low-dimensional Systems and Nanostructures
ISSN: 1386-9477
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa54974
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spelling 2020-09-18T15:37:33.7795457 v2 54974 2020-08-13 A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false f207b17edda9c4c3ea074cbb7555efc1 0000-0002-3721-4980 Hamed Haddad Khodaparast Hamed Haddad Khodaparast true false 2020-08-13 FGSEN Nano and micromechanical mass sensing using cantilever oscillators of different length-scales has been an established approach. The main principle underpinning this technique is the shift in the resonance frequency caused by the additional mass in the dynamic system. While the mass of an object to be sensed is useful information, some idea about the shape of the object would be an additional benefit. The shape information may be used to make a distinction between two different objects of the same mass. This paper establishes the conceptual framework for simultaneous sensing of the mass as well as the rotary inertia of an object attached to a vibrating cantilever beam. The rotary inertia of an object gives additional insight into its shape, which is a key motivation of this work. It is shown that by using two modes it is possible to formulate two coupled nonlinear equations, which in turn can be solved to obtain the mass and the rotary inertia simultaneously from the frequency shifts of first two vibration modes. Euler-Bernoulli beam theory and an energy approach are used to derive closed-form expressions for the identified mass and rotary inertia from the measured frequency shifts. Analytical expressions are validated using high fidelity finite element simulation results. Journal Article Physica E: Low-dimensional Systems and Nanostructures 125 114366 Elsevier BV 1386-9477 Nanomechanical sensor, Frequency shift, Mass sensing, Rotary inertia, Cantilever beam 1 1 2021 2021-01-01 10.1016/j.physe.2020.114366 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-09-18T15:37:33.7795457 2020-08-13T09:30:44.6167648 College of Engineering Engineering Sondipon Adhikari 1 Hamed Haddad Khodaparast 0000-0002-3721-4980 2 54974__17907__73b9005318544943ac389dd7aeba0b73.pdf 54974.pdf 2020-08-13T10:57:42.8298251 Output 2107708 application/pdf Accepted Manuscript true 2021-07-23T00:00:00.0000000 © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ true English
title A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
spellingShingle A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
Sondipon Adhikari
Hamed Haddad Khodaparast
title_short A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
title_full A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
title_fullStr A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
title_full_unstemmed A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
title_sort A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
f207b17edda9c4c3ea074cbb7555efc1
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
f207b17edda9c4c3ea074cbb7555efc1_***_Hamed Haddad Khodaparast
author Sondipon Adhikari
Hamed Haddad Khodaparast
author2 Sondipon Adhikari
Hamed Haddad Khodaparast
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container_title Physica E: Low-dimensional Systems and Nanostructures
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container_start_page 114366
publishDate 2021
institution Swansea University
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doi_str_mv 10.1016/j.physe.2020.114366
publisher Elsevier BV
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description Nano and micromechanical mass sensing using cantilever oscillators of different length-scales has been an established approach. The main principle underpinning this technique is the shift in the resonance frequency caused by the additional mass in the dynamic system. While the mass of an object to be sensed is useful information, some idea about the shape of the object would be an additional benefit. The shape information may be used to make a distinction between two different objects of the same mass. This paper establishes the conceptual framework for simultaneous sensing of the mass as well as the rotary inertia of an object attached to a vibrating cantilever beam. The rotary inertia of an object gives additional insight into its shape, which is a key motivation of this work. It is shown that by using two modes it is possible to formulate two coupled nonlinear equations, which in turn can be solved to obtain the mass and the rotary inertia simultaneously from the frequency shifts of first two vibration modes. Euler-Bernoulli beam theory and an energy approach are used to derive closed-form expressions for the identified mass and rotary inertia from the measured frequency shifts. Analytical expressions are validated using high fidelity finite element simulation results.
published_date 2021-01-01T04:09:50Z
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