Transverse free vibration of resonant nanoplate mass sensors: Identification of an attached point mass

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dc.contributor.author Fernández-Sáez, José
dc.contributor.author Morassi, Antonino
dc.contributor.author Rubio García, Leonardo
dc.contributor.author Zaera, Ramón
dc.date.accessioned 2022-09-22T12:47:03Z
dc.date.available 2022-09-22T12:47:03Z
dc.date.issued 2019-01-01
dc.identifier.bibliographicCitation International Journal of Mechanical Sciences, v. 150, pp.: 217-225.
dc.identifier.issn 0020-7403
dc.identifier.uri http://hdl.handle.net/10016/35769
dc.description.abstract In this paper we analyse for the first time the bending vibration of a nanoplate with an attached mass using the strain gradient elasticity theory for homogeneous Lame material, under Kirchhoff-Love's kinematical assumptions. The exact eigenvalues of the nanoplate vibrating with an attached mass are obtained for a general case, and an approximate closed form expression is provided if the intensity of the mass is small with respect to the total mass of the nanoplate. The inverse problem of identifying a point mass attached on a simply supported rectangular nanoplate from a selected minimal set of resonant frequency data is also considered. We show that if the point mass is small, then the position of the point mass and mass size can be determined by means of closed form expressions in terms of the changes induced by the point mass on the first three resonant frequencies. The identification procedure has been tested on an extended series of numerical simulations, varying the scale parameter of the nanoplate's material and the position and size of the point mass.
dc.description.sponsorship The authors from University Carlos III of Madrid wish to acknowledge the Ministerio de Economía y Competitividad de España for the financial support, under grants number DPI2014-57989-P and DPI2013-45406-P. A. Morassi gratefully acknowledges the financial support of the National Research Project PRIN 2015TTJN95 Identification and monitoring of complex structural systems.
dc.format.extent 8
dc.language.iso eng
dc.publisher Elsevier
dc.rights © 2018 Elsevier Ltd. All rights reserved.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Strain gradient theory
dc.subject.other Nanoplates with attached mass
dc.subject.other Nanosensors
dc.subject.other Transverse vibration
dc.subject.other Mass identification
dc.subject.other Inverse problems
dc.title Transverse free vibration of resonant nanoplate mass sensors: Identification of an attached point mass
dc.type article
dc.description.status Publicado
dc.subject.eciencia Física
dc.identifier.doi https://doi.org/10.1016/j.ijmecsci.2018.09.055
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. DPI2013-45406-P
dc.relation.projectID Gobierno de España. DPI2014-57989-P
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 217
dc.identifier.publicationlastpage 225
dc.identifier.publicationtitle INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
dc.identifier.publicationvolume 150
dc.identifier.uxxi AR/0000023219
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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