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采用共旋坐标法导出了四边形平面应力单元在大转动、小应变条件下的几何非线性和材料非线性的单元切线刚度矩阵;在此基础上编制相应的有限元FORTRAN程序;对交通部公路桥涵标准图中的23个单跨石拱桥的计算与分析表明:共旋坐标法四边形平面应力单元的列式、程序和求解器具有较强的非线性分析能力,能较好地分析石拱桥受力全过程的非线性性能.该计算结果提供了对中小跨度石拱桥非线性性能的更多的了解,可供工程设计人员参考.
The co-rotation coordinate method is used to derive the geometric nonlinearity of the quadrilateral plane stress element under large rotation and small strain and the material nonlinear tangent stiffness matrix. Based on this, the finite element FORTRAN program is developed. The calculation and analysis of 23 single-span stone arch bridges in the standard diagram show that the formula, program and solver of the quadrangular plane stress unit of the co-rotation coordinate method have strong nonlinear analysis ability and can well analyze the stress of the stone arch bridge The whole process of nonlinear performance.The results provide a more understanding of the small and medium-span stone arch bridge nonlinear performance, for engineering and design personnel reference.