摘要
将平衡钢丝绳的质量等效在提升容器上,利用哈密顿方程建立了塔式多绳摩擦提升系统变长度提升钢丝绳偏微分横向振动方程.应用修正伽辽金方法对振动方程离散化处理,以某矿副立井提升系统运行状态曲线作为运动参数输入,分析不平度和激励对提升钢丝绳横向振动的影响.进行了现场测试,并将实测曲线和仿真曲线进行快速傅里叶变换,与获取的幅频特性曲线进行对比,发现仿真结果与试验结果基本一致.研究表明:在外界干扰激励作用下,摩擦提升系统易产生横向振动,上端激励对钢丝绳横向振动的影响会超过罐道不平度的影响,上行工况比下行工况钢丝绳振动剧烈.
Using the mass of time-varying length balance rope focused on the hoisting conveyance,the transverse vibration model of multi rope friction hoisting system was established employing the Hamilton′s principle.The Galerkin′s method was used to discretize the governing equations.The example of mine hoisting system was illustrated to evaluate the proposed mathematical model,the transverse vibration of hoisting rope affected by the unevenness and excitation was analyzed.The tests were illustrated to evaluate the proposed mathematical model.Then the measured curve and simulation curve was processed by fast Fourier transform,and by contrast with the amplitude-frequency characteristic curve,the experimental result is in close agreement with the simulation result.Results show that under the excitation of external disturbance,the friction hoisting system can easily generate transverse vibration,the incentive effect on upper of wire rope can generate more transverse vibration than the effects of cage path roughness,and working condition of the upward can generate more vibration than working condition of the downward.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2015年第6期12-16,21,共6页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
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)
关键词
摩擦提升系统
横向振动
钢丝绳
伽辽金方法
快速傅里叶变换
friction hoisting system
transverse vibration
rope
Galerkin′s method
fast Fourier transform
