title: Free localized vibrations of a long double-walled carbon nanotube embedded in nonhomogeneous elastic medium
metadata.name: dc.contributor.author
metadata.value: Mikhasev, Gennadiy I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Botogova, Marina G.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-01T15:37:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-01T15:37:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-03
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3847
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: On the basis of the modified Flu¨ugge equations for thin cylindrical shells and non-local theory of elasticity,
  free axisymmetric vibrations of a long double-walled carbon nanotube embedded in nonhomogeneous
  elastic medium is studied. The surrounding medium is modelled by the Winkler foundation. To take into
  account the interaction between the nanotube walls, the van-der-Waals forces are introduced into the
  governing equations. By using the asymptotic method of Tovstik, eigenmodes are constructed in the form
  of functions decaying far from the line on the outermost wall where the coefficient of soil reaction has
  a local minimum. Eigenmodes and natural frequencies corresponding to the like-directed and differently
  directed motions of walls have been found. It has been revealed that the introduction of a parameter of
  nonlocality into the model «generates» the eigenmodes which are nonrelevant for macro-sized shells. In
  particular, the increase of the tensile axil force results in: 1) more high rate of localization of vibrations
  and growing amplitudes of tangential oscillations of atoms; 2) increasing natural frequencies in the case
  when the tube is in the sufficiently stiffen medium. Refs 13. Figs 3. Tables 1.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: double-walled carbon nanotube
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: van-der-Waals forces
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: parameter of nonlocality
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonhomogeneous medium
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: free vibrations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: localization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Free localized vibrations of a long double-walled carbon nanotube embedded in nonhomogeneous elastic medium
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Mikhasev_Botogova.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3847/1/Mikhasev_Botogova.pdf
resources.format: Adobe PDF
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