Spectral finite element of a helix

H. Shahsavari, M. Ostoja-Starzewski

Research output: Contribution to journalArticlepeer-review


Determination of a spectral (i.e. frequency dependent) finite element of a helix is the focus of this communication. The helix is treated as straight, linear elastic element, exhibiting coupling of axial with torsional responses. We derive explicit forms of all the coefficients of the stiffness matrix and plot their dependencies on the frequency and the parameter describing the said coupling. In general, the growth of that parameter leads to a progressively denser occurrence of the resonances of both axial and torsional motions.

Original languageEnglish (US)
Pages (from-to)147-152
Number of pages6
JournalMechanics Research Communications
Issue number2
StatePublished - Mar 2005
Externally publishedYes


  • Helix
  • Spectral finite element
  • Vibration
  • Wave propagation
  • Wire rope

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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