Linear vibrations of continuum with fractional derivatives

Creative Commons License

Demir D. D., Bildik N., SINIR B. G.

Boundary Value Problems, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-2770-2013-104
  • Dergi Adı: Boundary Value Problems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: linear vibrations, dynamic analysis of continuum, fractional derivative, perturbation method
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, linear vibrations of axially moving systems which are modelled by a fractional derivative are considered. The approximate analytical solution is obtained by applying the method of multiple scales. Including stability analysis, the effects of variation in different parameters belonging to the application problems on the system are calculated numerically and depicted by graphs. It is determined that the external excitation force acting on the system has an effect on the stiffness of the system. Moreover, the general algorithm developed can be applied to many problems for linear vibrations of continuum. © 2013 Donmez Demir et al.; licensee Springer.