落地式多绳摩擦提升系统动态特性研究

Study on dynamic behavior of floor type multi-rope friction hoisting system

将提升钢丝绳简化为具有分布质量的均匀变形弹性线,并将长度时变的平衡钢丝绳质量集中在两侧提升容器上,利用拉格朗日方程建立了落地式多绳摩擦提升系统5自由度数学模型,其方程为耦合、变系数和非线性的二阶常微分方程。以某矿落地式摩擦提升系统运行参数为例,对非线性微分方程进行求解,分析两种工况下各自由度的动态响应和最大张力值。对比分析刚体动力学和弹性动力学计算的张力和张力差,提出了基于弹性动力学的提升系统防滑校核和提升钢丝绳选型方法。并进行了现场测试,实测曲线和仿真曲线变化规律基本一致,验证了5自由度数学模型建立和求解方法是有效的。对多绳摩擦提升系统动态设计提供了理论参考。

Hoisting ropes was simplified to homogeneous deformation elastic line with distributed mass and the mass of time-variation length balance ropes was focused on the hoisting conveyances. Five-freedom mathematical model of floor-type multi-rope friction hoisting system was established by using Lagrange's equation. The equation of mathematical model was a coupled and nonlinear second order ordinary differential equation with variable coefficients. The motions of multi-rope friction hoisting system in a coal mine was taken as an example. The nonlinear differential equation was solved. The dynamic responses of five degrees of freedom were obtained. The maximum tension of hoisting rope was calculated by mathematical model and the method checking antiskid of hoisting system was proposed which offered a theoretical basis for the dynamic design of hoisting system. Tests were illustrated to evaluate the proposed mathematical model and proved the accuracy of mathematical model.