Publication: Transverse free vibration of resonant nanoplate mass sensors: Identification of an attached point mass
dc.affiliation.dpto | UC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Dinámica y Fractura de Elementos Estructurales | es |
dc.contributor.author | Fernández-Sáez, José | |
dc.contributor.author | Morassi, Antonino | |
dc.contributor.author | Rubio García, Leonardo | |
dc.contributor.author | Zaera, Ramón | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.date.accessioned | 2022-09-22T12:47:03Z | |
dc.date.available | 2022-09-22T12:47:03Z | |
dc.date.issued | 2019-01-01 | |
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. | en |
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. | en |
dc.description.status | Publicado | es |
dc.format.extent | 8 | |
dc.identifier.bibliographicCitation | International Journal of Mechanical Sciences, v. 150, pp.: 217-225. | en |
dc.identifier.doi | https://doi.org/10.1016/j.ijmecsci.2018.09.055 | |
dc.identifier.issn | 0020-7403 | |
dc.identifier.publicationfirstpage | 217 | |
dc.identifier.publicationlastpage | 225 | |
dc.identifier.publicationtitle | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | en |
dc.identifier.publicationvolume | 150 | |
dc.identifier.uri | https://hdl.handle.net/10016/35769 | |
dc.identifier.uxxi | AR/0000023219 | |
dc.language.iso | eng | en |
dc.publisher | Elsevier | en |
dc.relation.projectID | Gobierno de España. DPI2013-45406-P | es |
dc.relation.projectID | Gobierno de España. DPI2014-57989-P | es |
dc.rights | © 2018 Elsevier Ltd. All rights reserved. | en |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.accessRights | open access | en |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.subject.eciencia | Física | es |
dc.subject.other | Strain gradient theory | en |
dc.subject.other | Nanoplates with attached mass | en |
dc.subject.other | Nanosensors | en |
dc.subject.other | Transverse vibration | en |
dc.subject.other | Mass identification | en |
dc.subject.other | Inverse problems | en |
dc.title | Transverse free vibration of resonant nanoplate mass sensors: Identification of an attached point mass | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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