斜交箱梁的板梁段有限元法

吸取梁段单元和板梁框架法的思想,将斜交箱梁沿纵向划分为若干斜梁段,依据箱梁结构进一步将斜梁段划分为若干板梁段子单元,在位移分析的基础上,通过正、斜交坐标转换关系,直接建立在斜交坐标系内描述单元空间位移的方法,用势能驻值原理建立其有限单元列式,利用编制的有限元程序PBS进行斜交结构的分析,结果表明该方法具有较高的分析精度。

A Finite Element Method for Slab Beam Segment of Skew Box Girder

On the basis of the beam segment element and the slab beam frame method, skew box girder is (longitudinally) dispersed into several skew beam units, which are again divided into some slab segments according to the structure of the box girder. By means of the formulation of coordinate transformation between the (orthogonal) coordinates and the skew coordinates, a method describing the spatial displacements of the element in the skew coordinates system is presented based on the displacement analysis. Then using principle of total (potential) energy with stationary value, the formulation of this finite element is derived. Finally, the program PBS is developed and some skew box girders are analyzed using this program. The reliability and precision of this method and the computer programs are all verified by the numerical analytic and model test results.