摩擦提升系统钢丝绳横向动力学分析

PDF(1760 KB)

振动与冲击 ›› 2016, Vol. 35 ›› Issue (2) : 184-188.

论文

摩擦提升系统钢丝绳横向动力学分析

吴娟1,2，寇子明1,2，梁敏1,2

作者信息 +

Analysis of rope transverse dynamics for multi-rope friction hoisting system

WU Juan1,2，KOU Ziming1,2，LIANG Min1,2

Author information +

文章历史 +

摘要

将平衡钢丝绳质量等效在提升容器上，利用Hamilton方程建立塔式多绳摩擦提升系统变长度提升钢丝绳横向振动动力学模型。用修正Galerkin方法将无限维偏微分振动控制方程离散有限维常微分方程。以某矿副立井提升系统运行状态曲线为运动参数输入，仿真分析不同运行阶段提升钢丝绳横向振动规律及刚度、阻尼对横向振动影响。结果表明，在外界干扰激励作用下提升的上行阶段振动更剧烈；增大弹簧刚度、集中阻尼及分布阻尼均可减小钢丝绳横向振幅。

Abstract

Using the mass of time-varying length balance rope focused on the hoisting conveyance, the transverse model of mine friction hoist was established by the Hamilton’s principle. The modified Galerkin’s method was used to discretize partial differential equations. The mine hoisting system was used to the example to analysis the regular of the transverse vibration of wire rope at different operation stages, and the influence of stiffness and damping on the transverse vibration. The results showed that under the incentive function of the external disturbance, the hoisting cable transverse vibration displacement is more intense in the ascending stage; The vibration of the rope can be suppressed by changing the spring stiffness and damping．

导出引用

吴娟1,2，寇子明1,2，梁敏1,2. 摩擦提升系统钢丝绳横向动力学分析[J]. 振动与冲击, 2016, 35(2): 184-188

WU Juan1,2，KOU Ziming1,2，LIANG Min1,2. Analysis of rope transverse dynamics for multi-rope friction hoisting system[J]. Journal of Vibration and Shock, 2016, 35(2): 184-188

参考文献

[1] Zhu W D,Zheng N A. Exact response of a translating string with arbitrarily varying length under general excitation [J].Journal of Applied Mechanics, 2008, 75(3): 1-14.
[2] 张鹏,朱昌明,张梁娟.变长度柔性提升系统纵向-横向受迫耦合振动分析[J].工程力学,2008,25(12)：202- 207.
ZHANG Peng, ZHU Chang-ming, ZHANG Liang-juan. Analysis of forced coupled longitudinal-transverse vibration of flexible hoisting systems with varying length [J].Journal of Engineering Mechanics,2008,25(12): 202- 207.
[3] Kimura H, Min Z. Vibration analysis of elevator rope (simplified calculation method for detecting rope deflection of moving cage during earth quake)[J].Nihon Kikai Gakkai Ronbunshu,C Hen/Transactions of the Japan Society of Mechanical Engineers,2011,77:43-50.
[4] Kaczmarczyk S, Iwankiewicz R,Terumichi Y.The dynamic behavior of a non-stationary elevator compensating rope system under harmonic and stochastic excitations[J]. Journal of Physics,2009, .
[5] 王文，钱江.电梯悬挂系统在建筑摇晃引起位移激励下横向振动分析[J].振动与冲击,2013,32:70-73.
WANG Wen, QIAN Jiang. Analysis of transverse vibration of elevator suspended systems subjected to displacement excitation due to the structure s way[J]. Journal of Vibration and Shock,2013,32(7):70-73.
[6] Kaczmarczyk S, Ostachowicz W. Transient vibration phenomena in deep mine hoisting cables.part 1: mathematical model[J].Journal of Sound and Vibration 2003, 262: 219-244.
[7] Kaczmarczyk S, Ostachowicz W.Transient vibration phenomena in deep mine hoisting cables.part 2:numerical simulation of the dynamic response[J].Journal of Sound and Vibration 2003, 262: 245-289.
[8] 秦强.基于动力学的煤矿立井摩擦提升系统安全性研究[D].合肥：合肥工业大学，2008.
[9] 李占芳.矿井提升系统振动特性及典型故障诊断研究[D].徐州：中国矿业大学，2010.
[10] 曹国华,朱真才,彭维红,等. 变质量提升系统钢丝绳轴向-扭转耦合振动特性[J].振动与冲击,2010,29(2):64-68.
CAO Guo-hua, ZHU Zhen-cai, PENG Wei-hong,et al. Extension-torsionally coupled vibration of wire rope in a variable mass hoisting system[J].Journal of Vibration and Shock,2010,29(2):64-68.
[11] 蒋玉强.立井刚性罐道系统的非线性耦合特性及状态评估研究[D].徐州：中国矿业大学，2011.
[12] Zhu W D, Chen Y. Forced response of translating media with variable length and tension: application to high-speed elevators [J]. Journal of Multibody Dynamics, 2005, 219(1): 35-53.