Vibration of locally cracked pre-loaded parabolic arches

Uğurcan Eroğlu, Giuseppe Ruta*, Ekrem Tüfekci

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Article number117097
JournalJournal of Sound and Vibration
Publication statusPublished - 13 Oct 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Ltd


This work was done when U. Eroglu was Visiting Professor at the Dipartimento d’ingegneria strutturale e geotecnica of the University of Rome “La Sapienza” , the support of which under the grant ‘Professore visitatore 2020’ CUP B82F20001090001 is gratefully acknowledged. G. Ruta acknowledges the financial support of the institutional grants RM11916B7ECCFCBF and RM12017294D1B7EF of the University “La Sapienza” , Rome, Italy, and of the Italian national research grant PRIN 20177TTP3S-006 from Italian Ministry of University and Research . U. Eroglu and E. Tufekci acknowledge the support of grant by The Scientific and Technological Council of Turkey (TUBITAK) with Project No: 213M608 .

FundersFunder number
Italian national researchPRIN 20177TTP3S-006
Ministero dell’Istruzione, dell’Università e della Ricerca
Sapienza Università di RomaRM11916B7ECCFCBF, CUP B82F20001090001, RM12017294D1B7EF
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu213M608


    • Arches
    • Damage
    • Initial load
    • Vibration


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