An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections

This paper gives an analytical method to obtain the deformation of a cantilever curved beam. The curved beam considered has circular centre line and the thickness of the cross section in radial direction depends on the circumferential coordinate. The kinematics of the Euler-Bernoulli beam model is...

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Main Authors: István Ecsedi, Ákos Lengyel, Attila Baksa, Dávid Gönczi
Format: Article
Language:English
Published: Faculty of Engineering, University of Debrecen 2021-09-01
Series:International Journal of Engineering and Management Sciences
Subjects:
Online Access:https://ojs.lib.unideb.hu/IJEMS/article/view/9744
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author István Ecsedi
Ákos Lengyel
Attila Baksa
Dávid Gönczi
author_facet István Ecsedi
Ákos Lengyel
Attila Baksa
Dávid Gönczi
author_sort István Ecsedi
collection DOAJ
description This paper gives an analytical method to obtain the deformation of a cantilever curved beam. The curved beam considered has circular centre line and the thickness of the cross section in radial direction depends on the circumferential coordinate. The kinematics of the Euler-Bernoulli beam model is used to formulate of governing equations. The curved homogeneous and isotropic elastic beam is fixed at the one of the end cross section and on the other end cross section is subjected to concentrated forces and a couple. A numerical example illustrates the applications of the derived formulae.
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spelling doaj.art-b4d4be9f6f0244d5aac0e9e3804a5e2b2024-08-03T06:11:10ZengFaculty of Engineering, University of DebrecenInternational Journal of Engineering and Management Sciences2498-700X2021-09-016210.21791/IJEMS.2021.2.19.An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross SectionsIstván Ecsedi0Ákos Lengyel1https://orcid.org/0000-0002-0885-388XAttila Baksa2https://orcid.org/0000-0003-2727-2498Dávid Gönczi3University of Miskolc, Institute of Applied MechanicsUniversity of Miskolc, Institute of Applied MechanicsUniversity of Miskolc, Institute of Applied MechanicsUniversity of Miskolc, Institute of Applied Mechanics This paper gives an analytical method to obtain the deformation of a cantilever curved beam. The curved beam considered has circular centre line and the thickness of the cross section in radial direction depends on the circumferential coordinate. The kinematics of the Euler-Bernoulli beam model is used to formulate of governing equations. The curved homogeneous and isotropic elastic beam is fixed at the one of the end cross section and on the other end cross section is subjected to concentrated forces and a couple. A numerical example illustrates the applications of the derived formulae. https://ojs.lib.unideb.hu/IJEMS/article/view/9744Curved beamcantilevervariable thicknesselasticanalytical
spellingShingle István Ecsedi
Ákos Lengyel
Attila Baksa
Dávid Gönczi
An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections
International Journal of Engineering and Management Sciences
Curved beam
cantilever
variable thickness
elastic
analytical
title An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections
title_full An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections
title_fullStr An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections
title_full_unstemmed An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections
title_short An Analytical Solution for Static Problems of Cantilever Curved Beams with Variable Cross Sections
title_sort analytical solution for static problems of cantilever curved beams with variable cross sections
topic Curved beam
cantilever
variable thickness
elastic
analytical
url https://ojs.lib.unideb.hu/IJEMS/article/view/9744
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