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Beam theory in spline parametric cooridinate. Part II: examples

Teorija štapa u spline parametarskoj koordinati – II deo: primeri

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2014
1262.pdf (1.674Mb)
Authors
Radenković, Gligor
Kovačević, Saša
Conference object (Published version)
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Abstract
The Bernoulli–Euler and Timoshenko’s theory of arbitrary curved beam is derived in the system of NURBS parametric coordinates and detailed in the book [1]. The stiffness matrix of finite elements and overall structure are programmed in the software package Mathematica. A range of isogeometric Bernoulli–Euler beam elements is formulated, starting with C1 up to arbitrarily continuity Cp-1, where p is the degree of rational NURBS function. The results obtained in a number of examples that include accuracy, convergence and convergence speed of solutions were compared with the results obtained from the software package ABAQUS.
Source:
Međunarodna konferencija Savremena dostignuća u građevinarstvu 25, 2014, 30, 411-415
Publisher:
  • Gradjevinski fakultet, Subotica
Note:
  • Zbornik radova Građevinskog fakulteta

DOI: 10.14415/konferencijaGFS2014.056

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URI
https://grafar.grf.bg.ac.rs/handle/123456789/1264
Collections
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - CONF
AU  - Radenković, Gligor
AU  - Kovačević, Saša
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1264
AB  - The Bernoulli–Euler and Timoshenko’s theory of arbitrary curved beam is derived in the system of NURBS parametric coordinates and detailed in the book [1]. The stiffness matrix of finite elements and overall structure are programmed in the software package Mathematica. A range of isogeometric Bernoulli–Euler beam elements is formulated, starting with C1 up to arbitrarily continuity Cp-1, where p is the degree of rational NURBS function. The results obtained in a number of examples that include accuracy, convergence and convergence speed of solutions were compared with the results obtained from the software package ABAQUS.
PB  - Gradjevinski fakultet, Subotica
C3  - Međunarodna konferencija Savremena dostignuća u građevinarstvu 25
T1  - Beam theory in spline parametric cooridinate. Part II: examples
T1  - Teorija štapa u spline parametarskoj koordinati – II deo: primeri
EP  - 415
SP  - 411
VL  - 30
DO  - 10.14415/konferencijaGFS2014.056
ER  - 
@conference{
author = "Radenković, Gligor and Kovačević, Saša",
year = "2014",
abstract = "The Bernoulli–Euler and Timoshenko’s theory of arbitrary curved beam is derived in the system of NURBS parametric coordinates and detailed in the book [1]. The stiffness matrix of finite elements and overall structure are programmed in the software package Mathematica. A range of isogeometric Bernoulli–Euler beam elements is formulated, starting with C1 up to arbitrarily continuity Cp-1, where p is the degree of rational NURBS function. The results obtained in a number of examples that include accuracy, convergence and convergence speed of solutions were compared with the results obtained from the software package ABAQUS.",
publisher = "Gradjevinski fakultet, Subotica",
journal = "Međunarodna konferencija Savremena dostignuća u građevinarstvu 25",
title = "Beam theory in spline parametric cooridinate. Part II: examples, Teorija štapa u spline parametarskoj koordinati – II deo: primeri",
pages = "415-411",
volume = "30",
doi = "10.14415/konferencijaGFS2014.056"
}
Radenković, G.,& Kovačević, S.. (2014). Beam theory in spline parametric cooridinate. Part II: examples. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25
Gradjevinski fakultet, Subotica., 30, 411-415.
https://doi.org/10.14415/konferencijaGFS2014.056
Radenković G, Kovačević S. Beam theory in spline parametric cooridinate. Part II: examples. in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25. 2014;30:411-415.
doi:10.14415/konferencijaGFS2014.056 .
Radenković, Gligor, Kovačević, Saša, "Beam theory in spline parametric cooridinate. Part II: examples" in Međunarodna konferencija Savremena dostignuća u građevinarstvu 25, 30 (2014):411-415,
https://doi.org/10.14415/konferencijaGFS2014.056 . .

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