Gjornâl Furlan des SiencisFriulian Journal of Science

No. 30 (2020): GFS
RICERCJIS

Identification of concentrated masses in nanoresonators

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  • MICHELE DILENA,
  • MARTA FEDELE DELL’OSTE,
  • JOS´E FERN´ANDEZ-S´AEZ ,
  • ANTONINO MORASSI,
  • RAM´ON ZAERA
MICHELE DILENA
Polytechnic Department of Engineering and Architecture, University of Udine, Via Cotonificio 114, 33100 Udine, Italy.
MARTA FEDELE DELL’OSTE
Polytechnic Department of Engineering and Architecture, University of Udine, Via Cotonificio 114, 33100 Udine, Italy.
JOS´E FERN´ANDEZ-S´AEZ
Department of Continuum Mechanics and Structural Analysis, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Legan es, Madrid, Spain.
ANTONINO MORASSI
Polytechnic Department of Engineering and Architecture, University of Udine, Via Cotonificio 114, 33100 Udine, Italy.
RAM´ON ZAERA
Department of Continuum Mechanics and Structural Analysis, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Legan es, Madrid, Spain.

Peraulis clâf

  • Nanoresonator sensors,
  • point masses,
  • identification,
  • inverse problems

Cemût citâ

[1]
DILENA, M., FEDELE DELL’OSTE, M., FERN´ANDEZ-S´AEZ , J., MORASSI, A. and ZAERA, R. 2020. Identification of concentrated masses in nanoresonators. Gjornâl Furlan des Siencis - Friulian Journal of Science. 30 (May 2020), 21–35.

Ristret

In this paper we review some recent results concerning inverse problems of mass detection in nanobeams by resonant frequency measurements. The nanobeam is modelled within the modified strain gradient theory, according to the Euler-Bernoulli kinematic assumptions. We first consider the identification of a single small point mass in a uniform nanobeam supported at the ends. By linearizing the inverse problem near the referential system, it turns out that knowledge of the shifts in the first two resonant frequencies allows for the unique determination of the mass intensity and the mass position, up to a symmetrical position. Closed form expressions are derived for the position and the intensity of the added mass. In the second part of the paper, the method is extended to the identification of two small point masses added in a supported uniform nanobeam by using the shifts in the first four resonant frequencies. Key-words. Nanoresonator sensors, point masses, identification, inverse problems.

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