A Slice Finite Element Model for Bending Analysis of Curved Beams
The pure bending analysis of curved beams may be performed by finite element modelling of only a representative slice sector of the beam cross-section, by establishing exact deformation relationships between degrees of freedom of corresponding nodes on the corresponding artificial cross-sectional boundaries. These deformation relationships can be conveniently realized using constraint equations between nodal degrees of freedom. Numerical example has been given to demonstrate the accuracy and effectiveness of the proposed method.
Xiaodong Zhang, Zhijiu Ai, Prasad Yarlagadda and Yun-Hae Kim
W. G. Jiang and L. J. Yan, "A Slice Finite Element Model for Bending Analysis of Curved Beams", Advanced Materials Research, Vol. 338, pp. 282-285, 2011