A Finite Element for Spatial Static Analyses of Curved Thin-Walled Rectangular Beams Considering Eight Cross-Sectional Deformation Modes

作者：Zhang, Lei; Zhu, Zhencai^*; Shen, Gang; Cao, Guohua

来源：Arabian Journal for Science and Engineering, 2015, 40(12): 3731-3743.

DOI：10.1007/s13369-015-1820-9

• Curved thin-walled beam
• Rectangular box section
• Eight deformation modes
• Coupling
• Finite element

A new two-node finite element is proposed for the spatial static analyses of thin-walled curved beams with rectangular box sections considering eight cross-sectional deformation modes. These modes are determined with cross-sectional deformation shape functions and are used to construct the mid-plane contour displacement field and the three-dimensional displacement field. The coupling between the eight deformations and the curvature effect is carefully treated in the deduction of the beam potential energy. Then, the governing equations of the thin-walled curved beam are formulated involved with the principle of minimum potential energy. For the finite element implementation, the governing equations are approximated with C (0) continuous interpolation function. The validity of this study is verified through numerical examples.

• 出版日期2015-12
• 单位中国矿业大学（北京）