论文部分内容阅读
以鞍座理论顶点为顺延悬链线的交点作为定义,针对已有方法引入过多变量等不足,讨论并改进了空间缆索悬索桥塔顶两类鞍座之一的水平母线鞍座设计位置确定问题。基于索鞍设计位置和主缆找形可分离计算的条件,建立了水平母线索鞍的空间位置计算模型;根据几何关系和力学关系,推导了其设计位置确定的十元非线性方程组;给出了求解的迭代格式、求解步骤与雅可比矩阵;采用直线切线法确定迭代初值,明确鞍座中心位于过该中心铅垂线分别与过理论顶点两切线的交点之下方的约束条件。最后给出了水平母线索鞍设计位置确定的算例。算例表明:该文方法能确保水平母线索鞍设计位置的迭代计算快速收敛于真实值。
Taking the theoretical apex of saddle as the intersection of catenary and catenary as the definition, this paper discusses and improves the design of saddle position of horizontal bus bar, one of the two types of saddle on the top of space suspension bridge . Based on the condition of saddle saddle design and main cable stripping calculation, the space position calculation model of horizontal saddle saddle is established. According to the geometric relationship and the mechanical relationship, the 10-unit nonlinear equations of the designed position are deduced. The iterative format, the solving steps and Jacobi matrix are obtained. The initial value of the iteration is determined by the straight line tangent method, and the constraint condition that the saddle center is located below the intersection of the vertical plumb line and the theoretical tangent line is determined. Finally, an example of determining the design position of horizontal bus saddle is given. The example shows that this method can ensure that the iterative calculation of horizontal bus saddle design position converges quickly to the true value.