Dynamical behavior of an axially moving string constituted by a fractional differentiation law

DÖNMEZ DEMİR D., SINIR B. G., Bildik N.

Iranian Journal of Science and Technology - Transactions of Mechanical Engineering, cilt.39, sa.M2, ss.283-290, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: M2
  • Basım Tarihi: 2015
  • Dergi Adı: Iranian Journal of Science and Technology - Transactions of Mechanical Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.283-290
  • Anahtar Kelimeler: Axially moving string, Fractional differentiation, Method of multiple scales, Principal parametric resonance
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, the dynamical behavior of an axially moving string modeled by fractional derivative is investigated. The governing equation represented motion is solved by the method of multiple scales. Considering principal parametric resonance, the stability boundaries for string with simple supports are obtained. Numerical results indicate the effects of fractional damping on stability.