Vibration and stability analysis of axially moving beams with variable speed and axial force

ÖZHAN B. B.

International Journal of Structural Stability and Dynamics, cilt.14, sa.6, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1142/s0219455414500151
  • Dergi Adı: International Journal of Structural Stability and Dynamics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Vibrations, stability, axially moving beam, resonance, perturbation methods
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The well-known vibration model of axially moving beam is considered. Both axial moving speed and axial force are assumed to vary harmonically. The Method of Multiple Time Scales (a perturbation method) is used. The natural vibrations of beam are considered for different values of beam parameters. Resonances are obtained for seven different conditions. Solvability conditions for each resonance case are found analytically. Effects of transport velocity, axial force, rigidity and damping are discussed. Stability analysis are obtained for principal parametric resonances. Stable and unstable regions are obtained regarding velocity and force effects separately and together. © 2014 World Scientific Publishing Company.