Shiraz University Iranian Journal of Science and Technology Transactions of Mechanical Engineering 2228-6187 39 M2 2015 10 01 DYNAMICAL BEHAVIOR OF AN AXIALLY MOVING STRING CONSTITUTED BY A FRACTIONAL DIFFERENTIATION LAW 283 290 3240 10.22099/ijstm.2015.3240 EN D. DÖNMEZ DEMİR Dept. of Math., Faculty of Art & Sciences, Celal Bayar University, 45047, Manisa, Turkey B. G. SİNİR Dept. of Civil Eng., Faculty of Engineering, Celal Bayar University, 45140 Manisa, Turkey N. BİLDİK Dept. of Math., Faculty of Art & Sciences, Celal Bayar University, 45047, Manisa, Turkey Journal Article 2014 04 01 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. Axially moving string Fractional differentiation Method of multiple scales Principal parametric resonance https://ijstm.shirazu.ac.ir/article_3240_f75a9dd6da8a49d4bddb2bd448b28f9c.pdf