摩擦提升系统钢丝绳纵向-横向耦合振动分析  

Theoretical model and experimental verification of the coupling longitudinal-transverse vibration of rope for friction hoisting system

作　　者：吴娟[1,2] 寇子明[1,2] 梁敏[1,2] 吴国雄[1] 

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,山西太原030024

出　　处：《中国矿业大学学报》2015年第5期885-892,共8页Journal of China University of Mining & Technology

基　　金：国家自然科学基金青年科学基金项目(51205272);山西省科技创新计划项目(2014101001)

摘　　要：为了研究塔式摩擦提升系统在运行过程中变长度提升钢丝绳振动规律,利用Hamilton方程建立钢丝绳纵向-横向耦合偏微分振动方程.应用修正Galerkin方法,将激励作用下的提升钢丝绳偏微分振动控制方程离散化为常微分方程进行了求解,提出纵向-横向耦合偏微分振动方程和求解方法.以某矿副立井提升系统运行状态曲线作为运动参数输入,分析载荷对提升容器上方10m处钢丝绳纵向和横向振动影响,并与现场试验结果进行对比.结果表明:实测的纵向和横向振动曲线与仿真曲线变化规律基本一致;平均振幅最大误差为9.7%;上行阶段最大振幅值大于下行阶段最大振幅值;随着载荷增加,钢丝绳横向振动振幅增大,所提出的求解方法有效.To study the vibration regularity of varing length lifting rope of tower friction hoisting system during operation,the Hamilton＇s principle was used to establish partial differential equations of rope based on the coupling longitudinal-transverse vibration model.The modified Galerkin method was applied to discretize partial differential vibration equations under excitation to finite dimensional ordinary differential equations.The operating status of a mine hoisting system was illustrated to evaluate the effect of load on the longitudinal and transverse vibrations of rope at 10 mabove the container and the results were compared with the field test.Results show that the actual longitudinal and transverse vibration curves are in line with the simulation curves;the average amplitude of the maximum error is 9.7%;the upward maximum amplitude value is greater than the downward maximum amplitude value;as the amount of load grows,the amplitude of transverse vibration increases;the proposed solving method of coupling longitudinal-transverse vibration partial differential equations is valid.

关 键 词：提升系统 钢丝绳 纵向-横向耦合 振动 

分 类 号：TD532[矿业工程—矿山机电]