图论在变截面箱梁断面扭转参数计算中的应用

介绍了用图论法计算变截面箱梁断面的扇性坐标.利用图论的基本原理建立箱梁断面的图论模型,并结合能量原理,推导出求解扇性坐标的矩阵方程.该法对于确定箱梁扭转中心位置和计算扇性坐标十分方便.给出示例的计算过程和结果,得出此方法非常适合于编程计算且计算结果准确.它使复杂的箱梁扭转计算问题得到简化.而且,用图论法还可以计算其他扇性特征参数.图论的应用,为解决箱梁扭转计算问题,编制通用的计算程序,提供了依据和参考.

Application of the Graph Theory in the Calculation of the Torsional Parameter of the Variable Cross-section Box Girder

This paper has introduced how to use the graph theory method to calculate the sectorial coordinate of the variable cross- section box girder.The matrix equation of the sectorial coordinate has been deduced by making use of the graph theory and energy principle after creating the graph model of the box girder section.This method has been proved to be very convenient to fix the position of torsional centre and calculate the sectorial coordinate.According to the given account case, we can get a conclusion that the procedure of the calculation can be easily programed and the calculated result by using this method is quite perfect.So this method has made the complex problem about the calculation of the box girder torsion much simpler.Moreover,the graph theory method can be used to calculate other parameters.What'more,the application of the graph can provide the reference and the data to make general calculated program which is used to solve the problem about the calculation of the box girder torsion.