摘要
推出了几何大变形三维梁元的坐标转换矩阵 ,并且给出了大转角位移的计算公式。考虑空间梁的双向弯曲 ,同时考虑弯曲与轴向作用的相互耦合 ,在平截面和小应变的假定下 ,采用 U.L 描述 ,基于非线性增量有限元理论 ,导出了考虑位移高阶项影响的三维梁单元的切线刚度矩阵 ,给出了相应的有限元表达式和对应的计算公式 。
Large displacements are incorporated within an updated Lagrangian formulation, in which all coupling among bending, twisting and stretching deformations for beam elements is considered based on the geometrical nonlinear beam theory. Moreover, based on the hypothesis that sections of the beam are in plane state all around deformation and strains are small, a tangent stiffness matrix of 3D beam element considering geometric nonlinearity is derived. In additional, the coordinate transformation matrixes on 3D beam element are established, and a computational method for the large rotation is adopted in the incremental procedure. The results are of great significance to the nonlinear finite element programming for 3D beam element.
出处
《武汉理工大学学报》
EI
CAS
CSCD
2001年第11期46-49,共4页
Journal of Wuhan University of Technology
基金
博士后基金资助
