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Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach

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2021
Paper_Milos_Jockovic_LINEAR.pdf (1.053Mb)
Authors
Jočković, Miloš
Nefovska-Danilović, Marija
Conference object (Published version)
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Abstract
In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, l...ess number of degrees of freedom are required in order to obtain accurate results.

Keywords:
Bernoulli – Euler beam / spatial curved beam / linear transient analysis
Source:
Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021, 2021, 194-201
Publisher:
  • Serbian Society of Mechanics
Funding / projects:
  • Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans (RS-36046)

ISBN: 978-86-909973-8-1

[ Google Scholar ]
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2392
Collections
  • Катедра за техничку механику и теорију конструкција
  • Radovi istraživača / Researcher's publications
Institution/Community
GraFar
TY  - CONF
AU  - Jočković, Miloš
AU  - Nefovska-Danilović, Marija
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2392
AB  - In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, less number of degrees of freedom are required in order to obtain accurate results.
PB  - Serbian Society of Mechanics
C3  - Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021
T1  - Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach
EP  - 201
SP  - 194
ER  - 
@conference{
author = "Jočković, Miloš and Nefovska-Danilović, Marija",
year = "2021",
abstract = "In this paper, linear transient analysis of spatial curved Bernoulli – Euler beam with circular cross – section formulated using isogeometric approach has been presented. The isogeometric approach is based on the concept that the geometry of the beam, as well as the displacement field are defined using the Non – Uniform Rational B – Spline (NURBS) functions. Governing equations of motions are derived using the basic relations of the differential geometry and continuum mechanics. In order to conduct transient analysis, time discretization has been employed using explicit integration scheme. The validation of the proposed method has been carried out for the spatial curved cantilever beam subjected to the point load with constant magnitude. The results of the free end displacements obtained using proposed method have shown excellent convergence properties and agreement with the results obtained using finite element-based software. In comparison to the conventional finite element method, less number of degrees of freedom are required in order to obtain accurate results.",
publisher = "Serbian Society of Mechanics",
journal = "Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021",
title = "Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach",
pages = "201-194"
}
Jočković, M.,& Nefovska-Danilović, M.. (2021). Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach. in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021
Serbian Society of Mechanics., 194-201.
Jočković M, Nefovska-Danilović M. Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach. in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021. 2021;:194-201..
Jočković, Miloš, Nefovska-Danilović, Marija, "Linear transient analysis of spatial curved Bernoulli – Euler beam using isogeometric approach" in Proceedings of 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, June 28-30, 2021 (2021):194-201.

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