斜交连续梁桥数值分析研究

在分析了矩阵位移法和传递矩阵法的理论基础上，将二者组合而成矩阵混合法。矩阵混合法的实质就是将结构物的一端未知向量通过矩阵的简单乘法传递到另一端，再将已知条件代入求解的过程。在矩阵传递的过程中引入位移法中的前进代入的概念，即将未知向量不断地以新的未知向量替换，可以防止误差的传递和积累。将矩阵混合法运用于斜交连续梁桥内力计算，完成了矩阵混合法在斜交连续梁桥内力计算中的理论推导和程序的设计，给出了实际算例并与有限元法进行了比较。

Numerical analysis of skew continuous beam bridge

In this paper, based on analyzing the matrix displacement method and the transfer matrix method, the author combined them to form a new method, which called matrix mixed method, and then used this method to calculate the internal force and displacement of skew bridges. The essence of this method is to transfer the unknown vectors from one end to another, through the matrix's simple multiplication. In the process, the replacement ahead concept in displacement method is introduced, that is to say, we replace the unknown vectors with new unknown vectors to prevent the delivering and accumulation of errors. This theory contains five parts: delivering between the grid, delivering between the grid points, meeting the boundary conditions, and the middle bearing-support points conditions, and the unknown vectors. The application of matrix mixed method in the internal force calculation of long-span continuous skew cancelled structure was introduced. A practical instance was provided and the calculation results were compared with results by the finite element.