摘要
采用共旋坐标法导出钢管混凝土杆单元在大位移、大应变条件下的空间几何、材料非线性耦合的单元切线刚度矩阵;提出了在n+1维荷载-位移空间Rn+1中求解非线性有限元方程组的位移增量法迭代格式,该格式保留了迭代刚度矩阵的部分带状性能;在此基础上编制相应的有限元程序NSTSAP(几何非线性)和NSTSAP2(双重非线性)。通过与湖南茅草街大桥拱顶节段试验模型进行对比分析发现:该方法能较好地反映桁式拱肋钢管混凝土拱桥空间受力的非线性性能。
Tangent stiffness matrix for spatial concrete filled steel tubular（CFST） pole element of geometric nonlinearity coupled with material nonlinearity under large displacement and large strain which was deduced with co-rotational coordinate method was proposed. Iteration scheme for increment displacement method was used in solution of nonlinear equations in standard nonlinear load and stiffness FEM. Authors expanded the solution procedure of nonlinear FEM equations onto the displacement space of R^n＋1 and partially retained the band characteristic of the iteration matrix. Based on the above formulation, the corresponding computer geometric nonlinear program NSTSAP and geometric nonlinear coupled with material nonlinear program NSTSAP2 were developed. Computation of the arch ribs segment model of Hunan Maocaojie Bridge shows that the procedure can reflect preferably the nonlinear characteristics of arch bridge with concrete filled steel tube trussed arch ribs during bearing spatial forces.
出处
《中国公路学报》
EI
CAS
CSCD
北大核心
2006年第4期65-70,共6页
China Journal of Highway and Transport
基金
国家西部交通建设科技项目(2003318798201)
湖南省自然科学基金项目(02JJY3058)
关键词
桥梁工程
钢管混凝土拱桥
共旋坐标法
几何非线性
材料非线性
bridge engineering
CFST arch bridge
co-rotational coordinate method
geometric nonlinearity
material nonlinearity
