工作索耦合作用下多档多载荷货运索道的分析与计算方法

Analysis and calculation method of multi-span and multi-load freight ropeway under working-cable coupling action

针对传统输电线路货运索道设计和计算模型简单、结果误差较大等问题,提出了考虑承载索与牵引索耦合作用的多档多载荷货运索道的分析和计算方法。针对固定式与可滑移式多档索道的特点,根据弹性悬链线法,从结构守恒及力平衡两方面建立了表征多档货运索道工作索耦合作用的非线性方程组,其中结构守恒方程包括承载索与牵引索的档距和高差相等的方程、各档内工作索的总档距和总高差守恒方程、载货小车间牵引索长度守恒方程、承载索档内长度守恒方程和承载索总长度守恒方程等5类方程,力平衡方程包括载货小车两侧工作索的张力平衡方程、支架两侧牵引索的张力平衡方程和可滑移式索道支架两侧承载索的张力平衡方程等3类方程,实现了不同档间承载索与牵引索的联动分析,可计算在任意载荷下多档货运索道工作索的张力等参数。采用牛顿迭代法求解表征多档货运索道工作索耦合作用的非线性方程组,并与工程现场运行试验结果进行对比分析。结果表明,所提出的方法能够准确计算不同载荷作用下多档货运索道承载索和牵引索的张力及滑移量等重要参数,满足工程应用需求,可为货运索道的精细化设计与选型提供参考。

Aiming at the problems of simple calculation model and large error in the traditional design of freight ropeway for transmission lines,an analysis and calculation method of multi-span and multi-load freight ropeway was proposed,considering the coupling action of bearing cable and traction cable.According to the characteristics of fixed and slippable multi-span ropeway and the elastic catenary method,the nonlinear equations representing the coupling action of working cables of multi-span freight ropeway were established from the aspects of structural conservation and force balance.The equation of structure conservation included 5 kinds of equations:the equation that the distance and the height difference of bearing cable and traction cable were equal,the conservation equation of the total distance and the total height difference of working cable in each span,the conservation equation of the length of traction cable between the freight cars,the conservation equation of the internal length of the bearing cable and the conservation equation of the total length of bearing cable.The force balance equation included 3 kinds of equations:the tension balance equation of working cable on both sides of freight car,the tension balance equation of traction cable on both sides of bracket,the tension balance equation of bearing cable on both sides of bracket of slippable ropeway.The linkage analysis on bearing cable and traction cable in different spans was realized,and the parameters such as the tension of working cable of multi-span freight ropeway under arbitrary loading could be calculated.Newton iteration method was used to solve the nonlinear equations representing the coupling action of working cables of multi-span freight ropeway,and the results were compared with the results of field operation test.The results showed that the proposed method could accurately calculate the important parameters such as the tension and slippage of bearing cable and traction cable under different loads,which can meet the engineering application requirements and provide a reference for the refined design and selection of freight cable.