Fundamental frequencies and buckling in pre-stressed parabolic arches

U. Eroglu; G. Ruta

doi:10.1016/j.jsv.2018.07.038

Fundamental frequencies and buckling in pre-stressed parabolic arches

U. Eroglu
, G. Ruta^*

^*Bu çalışma için yazışmadan sorumlu yazar

Makina Mühendisliği Bölümü

University of Rome La Sapienza

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

9 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	104-118
Sayfa sayısı	15
Dergi	Journal of Sound and Vibration
Hacim	435
DOI'lar	https://doi.org/10.1016/j.jsv.2018.07.038
Yayın durumu	Yayınlandı - 24 Kas 2018

Bibliyografik not

Publisher Copyright:
© 2018 Elsevier Ltd

Finansman

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.

Finansörler	Finansör numarası
Foro Italico University of Rome	PRIN 2015TTJN95

Belgeye Erişim

10.1016/j.jsv.2018.07.038

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Fundamental frequencies and buckling in pre-stressed parabolic arches",

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.",

keywords = "Buckling, Differential quadrature method, Gal{\"e}rkin method, Parabolic arches, Pre-stress, Vibration",

author = "U. Eroglu and G. Ruta",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = nov,

day = "24",

doi = "10.1016/j.jsv.2018.07.038",

language = "English",

volume = "435",

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journal = "Journal of Sound and Vibration",

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TY - JOUR

T1 - Fundamental frequencies and buckling in pre-stressed parabolic arches

AU - Eroglu, U.

AU - Ruta, G.

PY - 2018/11/24

Y1 - 2018/11/24

N2 - 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.

AB - 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.

KW - Buckling

KW - Differential quadrature method

KW - Galërkin method

KW - Parabolic arches

KW - Pre-stress

KW - Vibration

UR - https://www.scopus.com/pages/publications/85051639200

U2 - 10.1016/j.jsv.2018.07.038

DO - 10.1016/j.jsv.2018.07.038

M3 - Article

AN - SCOPUS:85051639200

SN - 0022-460X

VL - 435

SP - 104

EP - 118

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

ER -

Fundamental frequencies and buckling in pre-stressed parabolic arches

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap