摘要
为了提高非线性分析的计算精度和效率,详细介绍了基于等参公式的三节点梁单元,推导了这种梁单元考虑几何非线性的切线刚度矩阵,并给出了高斯积分点的分布。在此基础上编制有限元程序,考虑了单元的大转角、大位移和剪切变形的影响,并采用von-Mises屈服准则和Zeigler随动硬化法则考虑了材料非线性的影响。与试验结果和通用程序的对比分析表明,这种方法具有较高的精度和效率,并且能方便地用于变截面杆系结构的空间双重非线性分析。
To improve the precision and efficiency of nonlinear analysis, a three-node beam element based on isoparametric formulations is introduced. The stiffness matrices considering geometric non-linearity and distribution of Gauss points are given. By using this kind of beam element, the finite element program is developed which considers the effects of large rotations, large displacements and shear deformations. The material non-linearity is also considered by using von-Mises yield criterion and Zeigler kinetic hardening law. The program is proved to be feasible and efficient by comparing results with experimental data and those calculated using current commercial software. In addition, the dimensions of cross sections at two ends of the beam element can be different, so that the element can also be used to analyze tapered frames.
出处
《工程力学》
EI
CSCD
北大核心
2003年第1期48-52,67,共6页
Engineering Mechanics
基金
国家自然科学基金重大项目(59895410)
建设部科技攻关项目(97-07-01)
