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大跨度钢管混凝土空间桁架拱桥的复杂造型使得有限元分析极为特殊,对非线性分析方法的计算精度和效率提出更高要求。采用共旋坐标法,根据共旋坐标系下应变与消除刚体位移后的变形呈线性关系的特点,利用虚功原理无需迭代就能计算出该坐标系下完全粘结钢管混凝土梁单元考虑材料非线性的切线刚度矩阵,再基于场一致性原则导出结构坐标系下考虑几何与材料双重非线性的切线刚度矩阵,从而建立钢管混凝土拱空间高效非线性分析方法。编制了相应的程序,对钢管混凝土模型拱的面内与面外受力进行了计算分析,结果表明在计算精度和效率上是比较满意的。
The complicated shape of the long-span CFST space truss arch bridge makes the finite element analysis very special and puts forward higher requirements on the calculation accuracy and efficiency of the nonlinear analysis method. According to the co-rotation coordinate method, according to the characteristic of the linear relationship between the strain and the deformation after the displacement of the rigid body is removed under the co-rotating coordinate system, the completely bonded concrete-filled CFST beam element in this coordinate system can be calculated without any iteration Linear tangent stiffness matrix. Based on the principle of field consistency, the nonlinear tangent stiffness matrix considering the geometrical and material nonlinearity is deduced in the structural coordinate system, so as to establish an efficient non-linear analysis method of CFST arch space. The corresponding program was compiled and the in-plane and out-of-plane forces of CFST arch were calculated and analyzed. The results show that the calculation accuracy and efficiency are satisfactory.