摘要
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.
出处
《长沙铁道学院学报》
CSCD
1997年第4期1-7,共7页
Journal of Changsha Railway University
基金
国家自然科学基金
关键词
空间曲梁
三维变形
应变-位移关系
有限元分析
curved element of spatial beam, three-dimensional deformation, strain-displacement relationship