弯曲钢丝绳股内钢丝应力应变数值模拟  

Numerical simulation of stress-strain of bended wire rope

作　　者：吴娟[1,2] 寇子明[1,2] 刘玉辉 吴国雄[1,2] 

机构地区：[1]太原理工大学机械工程学院,山西太原030024 [2]山西省矿山流体控制工程(实验室)技术研究中心,山西太原030024

出　　处：《煤炭学报》2015年第6期1463-1468,共6页Journal of China Coal Society

基　　金：国家自然科学基金青年科学基金资助项目(51205272);国家国际科技合作专项资助项目(2011DFA72120)

摘　　要：以右交互捻钢丝绳为例,根据弯曲钢丝绳结构特点及股内钢丝的缠绕关系,应用微分几何理论建立了Frenet-Serret标架图,推导出弯曲状态二次螺旋线空间矢量表达式。构建了12-6×7IWRC右同向捻和右交互捻钢丝绳有限元分析模型。以钢丝绳一端约束3个方向自由度,另一端施加轴向集中载荷作为加载工况,确立模型求解的边界条件,分析2种捻向钢丝绳等效应力及变形分布规律。仿真结果表明:弯曲状态下右交互捻钢丝绳等效应力变化幅度高于右同向捻钢丝绳等效应力,右同向捻钢丝绳变形大于右交互捻钢丝绳变形。进行弯曲右交互捻钢丝绳拉伸试验,比较了钢丝绳的试验值、仿真值和Costello理论计算值,最大误差为10%。在误差允许范围内试验结果与模拟结果基本吻合,验证了模型的正确性。According to the relationship between the characteristics and winding state of the bending right regular lay rope,the space curve of single helical wire for the bending wire rope was established. Based on the theory of differential geometry,the Frenet-Serret frame was built and the space curve of double helical wire for the right regular lay rope was deduced. Two finite element models for the 12- 6 × 7IWRC right lang lay and right ordinary lay rope were established. The boundary conditions were set through restricting the degree of freedom in three directions at one end of wire rope and loading the mass force at the other end. The distribution of equivalent stress and deformation of two models were compared. The study results show that the amplitude of equivalent stress for the right regular lay rope is greater than that of the right lang lay rope and the deformation of the right lang lay rope is greater than that of the right regular lay rope. The tensile tests for the right regular lay rope were conducted. Compared the deformations of the ropes obtained by the present finite element analysis with those obtained experimentally and theoretical value by Costello theory,the valve of maximum errors is 10%,which suggests that the models are valid.

关 键 词：弯曲 钢丝绳 应力 变形 

分 类 号：TD532[矿业工程—矿山机电]