Variational method for non-conservative instability of a cantilever SWCNT in the presence of variable mass or crack

In the present paper the non-conservative instability of a cantilever single- walled carbon nanotube (SWCNT) through nonlocal theory is investigated. The nanotube is modeled as clamped-free beam carrying a concentrated mass, located at a generic position, or in presence of a crack, and subjected to...

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Autores principales: De Rosa, M.A., Lippiello, M., Auciello, N.M., Martin, Héctor, Piovan, Tulio
Formato: Documento de trabajo submittedVersion
Lenguaje:Inglés
Inglés
Publicado: 2020
Materias:
non-conservative instability, nonlocal elasticity, nanosensor, crack, variational method.
Acceso en línea:http://hdl.handle.net/20.500.12272/4653
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-4653
record_format dspace
institution Universidad Tecnológica Nacional
institution_str I-68
repository_str R-174
collection RIA - Repositorio Institucional Abierto (UTN)
language Inglés
Inglés
topic non-conservative instability, nonlocal elasticity, nanosensor, crack, variational method.
spellingShingle non-conservative instability, nonlocal elasticity, nanosensor, crack, variational method.
De Rosa, M.A.
Lippiello, M.
Auciello, N.M.
Martin, Héctor
Piovan, Tulio
Variational method for non-conservative instability of a cantilever SWCNT in the presence of variable mass or crack
topic_facet non-conservative instability, nonlocal elasticity, nanosensor, crack, variational method.
description In the present paper the non-conservative instability of a cantilever single- walled carbon nanotube (SWCNT) through nonlocal theory is investigated. The nanotube is modeled as clamped-free beam carrying a concentrated mass, located at a generic position, or in presence of a crack, and subjected to an axial load, at the free end. Nonlocal Euler-Bernoulli beam theory is used in the formulation and the governing equations of motion and the cor- responding boundary conditions are derived using an extendend Hamilton's variational principle. The governing equations are solved analitically. In or- der to show the sensitivity of the SWCNT to the values of an added mass, or crack and the in uence of the nonlocal parameter and nondimensional crack severity coe cient on the fundamental frequencies values, some nu- merical examples have been performed and discussed. Also, the validity and the accuracy of the proposed analysis have been con rmed by comparing the results with those obtained from the literature.
format Documento de trabajo
submittedVersion
author De Rosa, M.A.
Lippiello, M.
Auciello, N.M.
Martin, Héctor
Piovan, Tulio
author_facet De Rosa, M.A.
Lippiello, M.
Auciello, N.M.
Martin, Héctor
Piovan, Tulio
author_sort De Rosa, M.A.
title Variational method for non-conservative instability of a cantilever SWCNT in the presence of variable mass or crack
title_short Variational method for non-conservative instability of a cantilever SWCNT in the presence of variable mass or crack
title_full Variational method for non-conservative instability of a cantilever SWCNT in the presence of variable mass or crack
title_fullStr Variational method for non-conservative instability of a cantilever SWCNT in the presence of variable mass or crack
title_full_unstemmed Variational method for non-conservative instability of a cantilever SWCNT in the presence of variable mass or crack
title_sort variational method for non-conservative instability of a cantilever swcnt in the presence of variable mass or crack
publishDate 2020
url http://hdl.handle.net/20.500.12272/4653
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