Academic Journal
Hearing distributed mass in nanobeam resonators
| العنوان: | Hearing distributed mass in nanobeam resonators |
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| المؤلفون: | Dilena, M., Fedele Dell'Oste, M., Fernández-Sáez, José, Morassi, Antonino, Zaera, Ramón |
| المساهمون: | Ministerio de Economía y Competitividad (España) |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2020 |
| المجموعة: | Universidad Carlos III de Madrid: e-Archivo |
| مصطلحات موضوعية: | Bending vibration, Inverse eigenvalue problems, Mass identification, Nanomechanical systems, Strain gradient theory, Materiales |
| الوصف: | One-dimensional vibrating nanostructures show remarkable performance in detecting small adherent masses added to a referential configuration. The mass sensing principle is based on measuring the resonant frequency shifts caused by the unknown attached masses. In spite of its important application in several fields, few studies have been devoted to this inverse eigenvalue problem. In this paper we have developed a distributed mass reconstruction method for initially uniform nanobeams based on measurements of the first lower resonant frequencies of the free bending vibration. Two main inverse problems are addressed. In the first problem, the mass variation is determined by using the first lower eigenfrequencies of a supported nanobeam, under the a priori assumption that the mass variation has support contained in half of the axis interval. In the second problem, we show that the a priori assumption can be removed, provided that the spectral input data include an additional set of first lower eigenfrequencies belonging to a second spectrum associated to different end conditions. The nanobeam is modelled using the modified strain gradient elasticity accounting for size effects. The reconstruction is based on an iterative procedure which takes advantage of a closed-form solution when the mass change is small, and shows to be convergent under this assumption and for smooth mass variation. The accuracy of the reconstruction deteriorates in presence of discontinuous mass variation. For these cases, a constrained least-squares optimization filtering shows to be very effective to reduce the spurious oscillations around the target coefficient ; The authors from Universidad Carlos III de Madrid wish to acknowledge the Ministerio de Economía y Competitividad de España for the financial support under Grants numbers DPI2014-57989-P and PGC2018-098218-B-I00. The authors from University of Udine gratefully acknowledge the financial support of the National Research Project PRIN 2015TT JN95 "Identification and monitoring of ... |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| ردمك: | 978-0-00-002668-2 0-00-002668-9 |
| تدمد: | 0020-7683 |
| Relation: | Gobierno de España. DPI2014-57989-P; Gobierno de España. PGC2018-098218-B-I00; Dilena, M., Fedele Dell’Oste, M., Fernández-Sáez, J., Morassi, A. & Zaera, R. (2020, junio). Hearing distributed mass in nanobeam resonators. International Journal of Solids and Structures, 193–194, 568-592.; http://hdl.handle.net/10016/35778; https://doi.org/10.1016/j.ijsolstr.2020.02.025; 568; 592; International Journal of Solids and Structures; 193-194; AR/0000026689 |
| DOI: | 10.1016/j.ijsolstr.2020.02.025 |
| الاتاحة: | http://hdl.handle.net/10016/35778 https://doi.org/10.1016/j.ijsolstr.2020.02.025 |
| Rights: | © 2020 Elsevier Ltd. All rights reserved. ; Atribución-NoComercial-SinDerivadas 3.0 España ; http://creativecommons.org/licenses/by-nc-nd/3.0/es/ ; open access |
| رقم الانضمام: | edsbas.6DBC69D6 |
| قاعدة البيانات: | BASE |
Full Text Finder | ردمك: | 9780000026682 0000026689 |
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| تدمد: | 00207683 |
| DOI: | 10.1016/j.ijsolstr.2020.02.025 |