Vibration of locally cracked pre-loaded parabolic arches

Eroglu U., Ruta G., Tufekci E.

JOURNAL OF SOUND AND VIBRATION, vol.536, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 536
  • Publication Date: 2022
  • Doi Number: 10.1016/j.jsv.2022.117097
  • Journal Name: JOURNAL OF SOUND AND VIBRATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, INSPEC, Metadex, Pollution Abstracts, zbMATH, Civil Engineering Abstracts
  • Keywords: Vibration, Arches, Damage, Initial load, FINITE-ELEMENT FORMULATION, EIGEN-PROPERTIES, CIRCULAR ARCHES, SINGLE CRACK, DAMAGE, BEAMS, IDENTIFICATION, FREQUENCIES
  • Istanbul Technical University Affiliated: Yes

Abstract

We study linear dynamics of an initially parabolic arch deformed by a uniform 'dead' load. The arch is seen as a fully deformable one-dimensional continuum with rigid cross-sections, one of which suffers from a small local crack at its boundary. The crack is simulated by springs, the stiffnesses of which are evaluated via stress intensity factors. By two first-order perturbations we investigate a non-trivial equilibrium adjacent to the reference configuration and small vibration superposed on it. The modulation of the initial load on the natural angular frequencies and its consequences on damage detection is described and commented. It turns out that neglecting the initial load, recalling for actual 'dead' structural actions, can be misleading in damage identification, while its inclusion leads to better results.