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.

Fundamental frequencies and buckling in pre-stressed parabolic arches / Eroglu, U.; Ruta, G.. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - STAMPA. - 435:(2018), pp. 104-118. [10.1016/j.jsv.2018.07.038]

Fundamental frequencies and buckling in pre-stressed parabolic arches

G. Ruta
Secondo
Membro del Collaboration Group
2018

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.
2018
Buckling; Differential quadrature method; Galërkin method; Parabolic arches; Pre-stress; Vibration; Condensed Matter Physics; Acoustics and Ultrasonics; Mechanics of Materials; Mechanical Engineering
01 Pubblicazione su rivista::01a Articolo in rivista
Fundamental frequencies and buckling in pre-stressed parabolic arches / Eroglu, U.; Ruta, G.. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - STAMPA. - 435:(2018), pp. 104-118. [10.1016/j.jsv.2018.07.038]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1136649
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