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


BEAM THEORY IN SPLINE PARAMETRIC COORDINATE – PART II : EXAMPLES
 
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.