空间曲梁单元应变──位移关系

Strain-Displacement Relationship for a Curved Element of Spatial Beam in 3-D Deformations

基于[1]所建立的空间弹性曲杆在三维变形中的曲率—位移方程，运用卡尔丹角方法进行坐标转换，并依据有限变形理论，推导出空间曲梁单元在三维变形中的应变—位移关系的显示表达式．这一结果考虑了剪切变形的影响，它为空间曲梁大变形非线性有限元分析作了必要的准备．

Static and dynamic nonlinear analysis of spatial curved beams has many important applications in aeronautical and civil engineering. Based upon the curvature-displacement equation for an arbitrarily shaped,elastic,and curved bar in a 3-D deformation process in paper [1]and the theory of large elasticplastic deformation,this paper has derived the strain^displacement relationship for a curved element of spatial beam in 3-D deformations by the method of coordinate transformations using Cardau Angle. Shearing deformation is considered in this result. This work provides a reliable foundation for the nonlinear finite element analysis of spatial curved beams.