Vibration of carbon nanotubes with defects

Order reduction methods

Robert B. Hudson, Alok Sinha

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Order reduction methods are widely used to reduce computational effort when calculating the impact of defects on the vibrational properties of nearly periodic structures in engineering applications, such as a gas-turbine bladed disc. However, despite obvious similarities these techniques have not yet been adapted for use in analysing atomic structures with inevitable defects. Two order reduction techniques, modal domain analysis and modified modal domain analysis, are successfully used in this paper to examine the changes in vibrational frequencies, mode shapes and mode localization caused by defects in carbon nanotubes. The defects considered are isotope defects and Stone-Wales defects, though the methods described can be extended to other defects.

Original languageEnglish (US)
Article number20170555
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume474
Issue number2211
DOIs
StatePublished - Mar 1 2018

Fingerprint

Order Reduction
Reduction Method
Nanotubes
Carbon nanotubes
Carbon
Defects
Vibration
carbon nanotubes
vibration
defects
Domain Analysis
Modal Analysis
Wales
Gas Turbine
Mode Shape
Periodic structures
modal response
gas turbines
Periodic Structures
Vibrational spectra

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

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Vibration of carbon nanotubes with defects : Order reduction methods. / Hudson, Robert B.; Sinha, Alok.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, No. 2211, 20170555, 01.03.2018.

Research output: Contribution to journalArticle

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