超深矿井提升系统两绳区圈间过渡不同步时钢丝绳张力差分析  

An analysis of tension difference of steel ropes during non-synchronous transition between two crossover zones in a super deep mine hoisting system

作　　者：张骁 龚宪生[1,2] 宁显国 万园 ZHANG Xiao;GONG Xiansheng;NING Xianguo;WAN Yuan(The State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044,China;College of Mechanical Engineering,Chongqing University,Chongqing 400044,China)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044 [2]重庆大学机械工程学院,重庆400044

出　　处：《振动与冲击》2019年第8期28-35,共8页Journal of Vibration and Shock

基　　金：国家重点基础研究发展计划(973计划)(2014CB049403)

摘　　要：为了对超深井提升系统在圈间过渡激励下钢丝绳的张力差进行研究。以双绳多层缠绕式提升系统为研究对象,考虑天轮和悬绳的影响,基于连续介质力学理论,应用Hamilton原理建立了变长度的双绳提升系统动力学模型,采用Galerkin方法对导出的振动偏微分方程进行离散化,并利用MATLAB编程对变系数方程组进行数值求解,分析了同一卷筒两缠绳区圈间过渡不同步所形成的圆心角差值对两钢丝绳张力差变化的影响。结果表明:两绳张力差的最大值是出现在共振区域,过渡不同步时所形成圆心角差值越大,共振时张力差越大;同时,不同速度下的共振幅值越大,同一圆心角差值下张力差也越大;为保证两绳张力差不超过初始平均张力的10%,需使两缠绳区的过渡圆心角差最大值不能超过0.02 rad。This work aims to studying the difference of wire rope tension in a super deep mine hoisting system under crossover excitation. A double-rope multi-layer winding hoisting system was taken as the research object. With considering the impact of sheave and catenary ropes, the dynamic model of a double-rope hoisting system with variable length was established by using the Hamilton principle. The Galerkin method was used to discretize the derived partial differential equations of vibration. The equations of variable coefficient equations were numerically solved by using MATLAB programming. The influence of the center angle difference formed by the unsynchronized transitions of the two crossover zones of the same drum on the variation of tension difference between the two ropes was analyzed. The results show that the maximum value of the difference between the two ropes appears in the resonance region. The larger the difference between the center angles of the two ropes is, the larger the tension difference is. The larger the amplitude of the resonance at different speeds, the tension diffierence of the same center Angle difference larger. To ensure that the difference between the two ropes does not exceed 10% of the initial average tension, the maximum value of the transition center angle between the two ropes must not exceed 0.02 rad.

关 键 词：双绳提升系统 过渡圆心角差 张力差 钢丝绳振动 

分 类 号：TH211[机械工程—机械制造及自动化]