Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis

Curved beams are used so much in the arches and railway bridges and equipments for amusement parks. There are few reports about the curved beam with the effects of both the shear deformation and rotary inertias. In this paper, a new finite element model investigates to analyze In-Plane vibration of...

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Autores principales:	Nadi Azin, Raghebi Mehdi
Formato:	article
Lenguaje:	EN
Publicado:	University of Belgrade - Faculty of Mechanical Engineering, Belgrade 2021
Materias:	curved timoshenko beam in-plane response finite element method vibration absorber Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359
Acceso en línea:	https://doaj.org/article/f53e44425c96437a92fc1bd19e9b7600
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spelling	oai:doaj.org-article:f53e44425c96437a92fc1bd19e9b76002021-12-05T21:01:45ZFinite element model of circularly curved Timoshenko beam for in-plane vibration analysis1451-20922406-128X10.5937/fme2103615Nhttps://doaj.org/article/f53e44425c96437a92fc1bd19e9b76002021-01-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2021/1451-20922103615N.pdfhttps://doaj.org/toc/1451-2092https://doaj.org/toc/2406-128XCurved beams are used so much in the arches and railway bridges and equipments for amusement parks. There are few reports about the curved beam with the effects of both the shear deformation and rotary inertias. In this paper, a new finite element model investigates to analyze In-Plane vibration of a curved Timoshenko beam. The Stiffness and mass matrices of the curved beam element was obtained from the force-displacement relations and the kinetic energy equations, respectively. Assembly of the elemental property matrices is simple and without need to transformation matrix because of using the local polar coordinate system. The natural frequencies of curved Euler-Bernoulli beam with large thickness are not sufficiently accurate. In this case, using the curved Timoshenko beam element is necessary. Moreover, the influence of vibration absorber is discussed on the natural frequencies of the curved beam.Nadi AzinRaghebi MehdiUniversity of Belgrade - Faculty of Mechanical Engineering, Belgradearticlecurved timoshenko beamin-plane responsefinite element methodvibration absorberEngineering (General). Civil engineering (General)TA1-2040Mechanics of engineering. Applied mechanicsTA349-359ENFME Transactions, Vol 49, Iss 3, Pp 615-626 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	curved timoshenko beam in-plane response finite element method vibration absorber Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359
spellingShingle	curved timoshenko beam in-plane response finite element method vibration absorber Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359 Nadi Azin Raghebi Mehdi Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis
description	Curved beams are used so much in the arches and railway bridges and equipments for amusement parks. There are few reports about the curved beam with the effects of both the shear deformation and rotary inertias. In this paper, a new finite element model investigates to analyze In-Plane vibration of a curved Timoshenko beam. The Stiffness and mass matrices of the curved beam element was obtained from the force-displacement relations and the kinetic energy equations, respectively. Assembly of the elemental property matrices is simple and without need to transformation matrix because of using the local polar coordinate system. The natural frequencies of curved Euler-Bernoulli beam with large thickness are not sufficiently accurate. In this case, using the curved Timoshenko beam element is necessary. Moreover, the influence of vibration absorber is discussed on the natural frequencies of the curved beam.
format	article
author	Nadi Azin Raghebi Mehdi
author_facet	Nadi Azin Raghebi Mehdi
author_sort	Nadi Azin
title	Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis
title_short	Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis
title_full	Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis
title_fullStr	Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis
title_full_unstemmed	Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis
title_sort	finite element model of circularly curved timoshenko beam for in-plane vibration analysis
publisher	University of Belgrade - Faculty of Mechanical Engineering, Belgrade
publishDate	2021
url	https://doaj.org/article/f53e44425c96437a92fc1bd19e9b7600
work_keys_str_mv	AT nadiazin finiteelementmodelofcircularlycurvedtimoshenkobeamforinplanevibrationanalysis AT raghebimehdi finiteelementmodelofcircularlycurvedtimoshenkobeamforinplanevibrationanalysis
_version_	1718371040518733824

Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis

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