天轮处提升钢丝绳的曲率和挠率分析  

Analysis on Curvature and Torsion of Hoisting Rope Bent over Sheave

作　　者：李晓豁[1] 张惠波[1] 战林[1] 闫建伟[1] 

机构地区：[1]辽宁工程技术大学机械工程学院,阜新123000

出　　处：《世界科技研究与发展》2012年第2期198-200,219,共4页World Sci-Tech R&D

基　　金：国家自然科学基金(59774033);中国煤炭工业协会科学技术研究指导性计划项目(MTKJ-08-311);国家煤矿安全监察局安全生产科技发展指导性计划项目(06-292);辽宁省第二批科学技术计划项目(2008403010);辽宁省安全生产监督管理局安全生产科技发展(辽安监规划[2009]88号文)资助

摘　　要：为了研究天轮处钢丝绳各股钢丝的曲率和挠率大小及其变化规律,基于微分几何学建立了该处钢丝绳的一次、二次螺旋线数学模型,通过pro/E建立了其三维模型,利用Matlab软件编制程序模拟了天轮处钢丝绳钢丝曲率和挠率,获得了该处钢丝曲率和挠率随极角变化的规律。结果表明:在天轮处钢丝曲率变化幅度很大,最大曲率为0.25779 mm^(-1),而最小曲率只有0.19603mm^(-1);且该处钢丝曲率和挠率大小有被弦化的趋势,所得结论为研究钢丝绳的受力状态、疲劳损坏和使用寿命奠定了基础。In order to study the size and variation of curvature and torsion on each steel wire ef a hoisting rope as it is bent into sheave wheels, based on differential geometry, the first and second spiral mathematical model of the hoisting rope are established. And a three-dimensional model of the hoisting rope is established by pro/E. The curvature and torsion of steel wire bent over the sheave are simulated by programming composition using Matlab software. The variations of curvature and torsion on the steel wire with the polar angle are obtained. The results shows that：the curvature of steel wire has a great change in sheave department, the maximum curvature is 0. 257 79 mm- 1 ; the minimum is 0. 196 03 mm- 1 and the magnitude of curvature and torsion has an overall trend of being strung,which lay a foundation for studying forced state, fatigue damage and useful life of a hoisting rope on a multi-rope friction hoist.

关 键 词：多绳摩擦提升机 钢丝绳 天轮 曲率 挠率 

分 类 号：TD532[矿业工程—矿山机电]