TY - JOUR
T1 - The effect of parameterization on isogeometric analysis of free-form curved beams
AU - Hosseini, Seyed Farhad
AU - Moetakef-Imani, Behnam
AU - Hadidi-Moud, Saeid
AU - Hassani, Behrooz
N1 - Publisher Statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s00707-016-1610-9
PY - 2016
Y1 - 2016
N2 - In the present paper, the effect of parameterization on the results of isogeometric analysis of free-form approximated curved beams is investigated. An Euler–Bernoulli beam element for an initially curved beam with variable curvature is developed. The model is applied to four different examples. The effect of three parameterization strategies (the equally spaced method, the chord length method and the centripetal method) in the curve approximation process is considered. Also, the effect of least square approximation error is taken into consideration. The results strongly suggest avoiding the equally spaced method. Among the chord length and centripetal methods, the method which leads to a less least square error is recommended.
AB - In the present paper, the effect of parameterization on the results of isogeometric analysis of free-form approximated curved beams is investigated. An Euler–Bernoulli beam element for an initially curved beam with variable curvature is developed. The model is applied to four different examples. The effect of three parameterization strategies (the equally spaced method, the chord length method and the centripetal method) in the curve approximation process is considered. Also, the effect of least square approximation error is taken into consideration. The results strongly suggest avoiding the equally spaced method. Among the chord length and centripetal methods, the method which leads to a less least square error is recommended.
U2 - 10.1007/s00707-016-1610-9
DO - 10.1007/s00707-016-1610-9
M3 - Article
SN - 1619-6937
VL - 227
SP - 1983
EP - 1998
JO - Acta Mechanica
JF - Acta Mechanica
IS - 7
ER -