有限差分法模拟多绳摩擦提升系统钢丝绳纵向振动特性  

Longitudinal vibration characteristics of multi-rope friction hoisting system by the finite difference method

作　　者：高鑫宇[1,2,3] 吴娟[1,2,3] 张启顺[1,2,3] 

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 [3]矿山流体控制国家地方联合工程实验室,山西太原030024

出　　处：《中国矿业》2017年第6期157-160,共4页China Mining Magazine

基　　金：山西省科技创新项目资助(编号:2014101001)

摘　　要：考虑平衡钢丝绳对矿井提升系统的影响,利用Hamilton原理建立变长度提升钢丝绳纵向振动动力学模型。应用有限差分法离散化偏微分方程,并以某煤矿副立井塔式多绳摩擦提升系统为例,分析矿井提升系统运行过程中提升钢丝绳纵向振动的特性,绘制了Hilbert边际谱图以及系统能量图。数值结果表明:矿井提升系统下行过程中提升钢丝绳的伸长量不断增大,造成的是不可恢复的变形;整个运行过程中,频率为2Hz的所占比重最大,结合多绳摩擦提升系统的参数可知,此过程不会产生共振现象;在矿井提升系统过程中,下行时能量几乎为0,上行过程中,提升系统的能量随着时间的增大逐渐增大,在井口出增大最为剧烈。因此,可以为多绳摩擦提升系统运行过程中的能量分析、动张力等分析提供一个思路。Considering the impact of the balance of wire rope to the mine hoisting system and using Hamilton principle to establish the variable length of steel rope longitudinal vibration dynamic model of mine hoisting system. The finite difference method was used to discretize the partial differential equation to ordinary differential equation. The mine hoisting system was used to the example to analysis the regular of the longitudinal vibration of wire rope, the Hilbert marginal spectrum and the energy diagram of the system are plotted. The simulation results showed that the elongation of mine hoisting rope system is increasing in the descending process of mine hoisting system, which is unrecoverable deformation~ during the whole process of operation, the frequency of 2Hz is the largest, according to the parameters of the multi rope friction hoisting system,it cannot produce resonance phenomenon; in the process of mine hoist system, the energy is almost 0 in downlink,while in the uplink process,the energy of the system increases with the time increasing, the most dramatic increase in pithead. Therefore, it can provide an idea for energy analysis and dynamic tension analysis of multi rope friction hoisting system.

关 键 词：HAMILTON原理 平衡钢丝绳 纵向振动 有限差分法 Hilbert边际谱 

分 类 号：TD532[矿业工程—矿山机电]