建立了考虑弯翘影响的三节点七自由度的梁段板元有限单元模型,提出一种能对工程中常用的等截面或变截面箱梁弯翘进行分析的方法.采用二节点三次形函数的弯曲位移模式和三节点二次形函数的剪翘位移模式,应用能量变分原理,导出了箱梁弯翘的单元刚度矩阵和荷载列阵.利用该方法对等截面和变截面箱梁进行了计算,并与一般弯曲理论结果作了比较.
A beam-segment plate element model with three-node and seven-degree-of-freedom is established considering bending-warping effects. And a method for analyzing bending-warping of a box beam with conventional uniform or variable cross-section,is put forward. By using the bending displacement pattern of two-node and cubic shape function, the shearing-warping displacement pattern of three-node and second-degree shape function, and variational principle of energy; the element stiffness matrix and load column matrix are derived. For a uniform and variable cross-section box beam,a case study is given by using the proposed method;and the results are compared with ones obtained from general flexure theory.