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

BAĞDATLI S. M., Uslu B.

Structural Engineering and Mechanics, vol.54, no.3, pp.597-605, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.12989/sem.2015.54.3.597
  • Journal Name: Structural Engineering and Mechanics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.597-605
  • Keywords: axially moving, vibration, non-ideal support, perturbation methods
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.