Steady motion of a thread over a rotating roller

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10 Citations (Scopus)


Dynamic equations of steady motion governing the behavior of threads over rotating arbitrary-axisymmetric rollers are derived. Various types of boundary conditions resulting in initial value or boundary value problems are discussed. Analytical solutions for the case of a circular cylinder are found. Two of the integrals obtained are exact. The third one, being a perturbation result, is thus approximate. Comparisons of results for a circular cylinder with those for tapered and parabolic rollers are made.

Original languageEnglish
Pages (from-to)16-22
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Issue number1
Publication statusPublished - 1994 Mar

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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