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.
| Original language | English |
|---|---|
| Pages (from-to) | 104-118 |
| Number of pages | 15 |
| Journal | Journal of Sound and Vibration |
| Volume | 435 |
| DOIs | |
| Publication status | Published - 24 Nov 2018 |
Bibliographical note
Publisher Copyright:© 2018 Elsevier Ltd
Funding
This work was done when U. Eroglu was Visiting Researcher at the Dipartimento d'ingegneria strutturale e geotecnica of the University of Rome “La Sapienza”, the support of which is gratefully acknowledged. G. Ruta acknowledges the support of the grants “ Progetto di ricerca d'Ateneo ” C26A15JLMP of “La Sapienza” (2015), and of the Italian grant PRIN 2015TTJN95 “Identification and monitoring of complex structural systems.” Both authors wish to thank professors Ekrem Tüfekci (Istanbul) and Achille Paolone (Roma) for fruitful discussions and valuable comments.
| Funders | Funder number |
|---|---|
| Foro Italico University of Rome | PRIN 2015TTJN95 |
Keywords
- Buckling
- Differential quadrature method
- Galërkin method
- Parabolic arches
- Pre-stress
- Vibration