Fundamental frequencies and buckling in pre-stressed parabolic arches

Eroglu U., Ruta G.

JOURNAL OF SOUND AND VIBRATION, vol.435, pp.104-118, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 435
  • Publication Date: 2018
  • Doi Number: 10.1016/j.jsv.2018.07.038
  • Journal Name: JOURNAL OF SOUND AND VIBRATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.104-118
  • Istanbul Technical University Affiliated: Yes

Abstract

We operate a perturbation approach on the finite field equations for clamped slender arches with compact symmetric cross-section and parabolic centre curve under a uniform line load parallel to their symmetry axis. We study small vibration superposed on the relevant stress, assumed of membrane nature. We find the fundamental angular frequency in terms of the aspect ratio of the arch and of the pre-load; the possibility of buckling is examined. This is a first step towards monitoring such structures, and evaluating pre-loads and structural integrity by dynamic measurements. (C) 2018 Elsevier Ltd. All rights reserved.