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, vol.39, no.M2, pp.283-290, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: M2
  • Publication Date: 2015
  • Journal Name: Iranian Journal of Science and Technology - Transactions of Mechanical Engineering
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.283-290
  • Keywords: Axially moving string, Fractional differentiation, Method of multiple scales, Principal parametric resonance
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.