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A multimodal approach for simultaneous mass and rotary inertia sensing from vibrating cantilevers
Sondipon Adhikari,
Hamed Haddad Khodaparast 
Physica E: Low-dimensional Systems and Nanostructures, Volume: 125, Start page: 114366
Swansea University Authors:
Sondipon Adhikari, Hamed Haddad Khodaparast
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DOI (Published version): 10.1016/j.physe.2020.114366
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...
| Published in: | Physica E: Low-dimensional Systems and Nanostructures |
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| ISSN: | 1386-9477 |
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Elsevier BV
2021
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa54974 |
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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 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised 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 |
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4ea84d67c4e414f5ccbd7593a40f04d3 f207b17edda9c4c3ea074cbb7555efc1 |
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4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari f207b17edda9c4c3ea074cbb7555efc1_***_Hamed Haddad Khodaparast |
| author |
Sondipon Adhikari Hamed Haddad Khodaparast |
| author2 |
Sondipon Adhikari Hamed Haddad Khodaparast |
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Journal article |
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Physica E: Low-dimensional Systems and Nanostructures |
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125 |
| container_start_page |
114366 |
| publishDate |
2021 |
| institution |
Swansea University |
| issn |
1386-9477 |
| doi_str_mv |
10.1016/j.physe.2020.114366 |
| publisher |
Elsevier BV |
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Faculty of Science and Engineering |
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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 |
2021-01-01T04:08:52Z |
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1763753624720113664 |
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11.013148 |