Closed-form solutions for elastic tapered parabolic arches under uniform thermal gradients

Ugurcan Eroglu; Giuseppe Ruta

doi:10.1007/s11012-020-01153-x

Closed-form solutions for elastic tapered parabolic arches under uniform thermal gradients

Ugurcan Eroglu, Giuseppe Ruta^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We investigate tapered elastic arches with parabolic axis under uniform thermal gradients. A perturbation of the finite field equations yields a sequence of first-order differential systems, which is turned into a non-dimensional form. If the arch is shallow and slender and its reference shape is stress-free, a closed-form incremental response is found. We comment on the graphics help presenting the results, as a first step towards the investigation of possible non-linear responses superposed on such first-order thermo-elastic state.

Original language	English
Pages (from-to)	1135-1152
Number of pages	18
Journal	Meccanica
Volume	55
Issue number	5
DOIs	https://doi.org/10.1007/s11012-020-01153-x
Publication status	Published - 1 May 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020, Springer Nature B.V.

Funding

This work was done when U. Eroglu was Visiting Researcher at the Dipartimento di Ingegneria strutturale e geotecnica of University “La Sapienza”, the support of which is gratefully acknowledged. G. Ruta acknowledges the support of institutional grants of the University “La Sapienza” and of PRIN 2015TTJN95 “Identification and monitoring of complex structural systems” from Italian Ministry of University and Research. This work was done when U. Eroglu was Visiting Researcher at the Dipartimento di Ingegneria strutturale e geotecnica of University ?La Sapienza?, the support of which is gratefully acknowledged. G. Ruta acknowledges the support of institutional grants of the University ?La Sapienza? and of PRIN 2015TTJN95 ?Identification and monitoring of complex structural systems? from Italian Ministry of University and Research.

Funders	Funder number
Dipartimento di Ingegneria
Dipartimento di Ingegneria strutturale e geotecnica of University	2015TTJN95
Italian Ministry of University and Research
Ministero dell’Istruzione, dell’Università e della Ricerca

Keywords

Closed-form solutions
Perturbation
Tapered parabolic arches
Thermal gradients

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10.1007/s11012-020-01153-x

Cite this

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Closed-form solutions for elastic tapered parabolic arches under uniform thermal gradients

Abstract

Bibliographical note

Funding

Keywords

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