Journal of
Faculty of Civil Engineering

JOURNAL OF FACULTY OF CIVIL ENGINEERING
INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVILENGINEERING 25, 2014.y., pp. 411-415

	DOI: 10.14415/konferencijaGFS2014.056
	UDC: 624.071.32/.34:519.6
	CC-BY-SA 4.0 license
	Author : Radenković, Gligor; Kovačević, Saša
	Summary:
	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.
	Keywords:
	Isogeometric finite element, NURBS, Bernoulli–Euler beam element, Timoshenko’s beam element, continuity, convergence, Wolfram Mathematica.