Free vibration analysis of axially moving beam under non-ideal conditions

BAĞDATLI S. M., Uslu B.

Structural Engineering and Mechanics, cilt.54, sa.3, ss.597-605, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.12989/sem.2015.54.3.597
  • Dergi Adı: Structural Engineering and Mechanics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.597-605
  • Anahtar Kelimeler: Axially moving, Non-ideal support, Perturbation methods, Vibration
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, linear vibrations of an axially moving beam under non-ideal support conditions have been investigated. The main difference of this study from the other studies; the non-ideal clamped support allow minimal rotations and non-ideal simple support carry moment in minimal orders. Axially moving Euler-Bernoulli beam has simple and clamped support conditions that are discussed as combination of ideal and non-ideal boundary with weighting factor (k). Equations of the motion and boundary conditions have been obtained using Hamilton's Principle. Method of Multiple Scales, a perturbation technique, has been employed for solving the linear equations of motion. Linear equations of motion are solved and effects of different parameters on natural frequencies are investigated.