Vibration of carbon nanotubes with defects: Order reduction methods

Robert B. Hudson, Alok Sinha

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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
Issue number2211
StatePublished - Mar 2018

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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