变质量提升系统钢丝绳轴向-扭转耦合振动特性

曹国华;朱真才;彭维红;邵杏国

振动与冲击 ›› 2010, Vol. 29 ›› Issue (2) : 64-68.

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (2) : 64-68.
论文

变质量提升系统钢丝绳轴向-扭转耦合振动特性

  • 曹国华1,2;朱真才1;彭维红1;邵杏国1
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Extensional-torsional Coupled Vibration of Wire Rope in Variable Mass Hoisting System

  • CAO Guo-hua1,2;ZHU Zhen-cai1;PENG Wei-hong1;SHAO Xing-guo1
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摘要

为了掌握变质量提升系统的振动特性,考虑提升钢丝绳的扭转运动并根据变质量非完整系统的Hamilton 原理建立了钢丝绳轴向和扭转耦合振动数学模型,并推导了变质量提升系统振型函数及确定轴向与扭转耦合振动频率的超越方程,给出了基于振型函数随系统质量变化及固定不变两种情况下变质量提升系统钢丝绳振动位移、张力和扭矩响应的求解方法。以矿井提升箕斗装载为工况进行应用分析,结果表明:两种求解方法得到的响应基本接近;提升容器装载过程是一个质量增大振动频率减小的过程,钢丝绳的动位移、张力和扭矩以波动形式逐渐增加。装载量较大时可采用振型函数固定的方法计算装载提升系统的频率和响应,冲击较大的载荷建议考虑提升容器的波动载荷,从而有助于提高计算效率和增强提升系统的安全可靠性。

Abstract

In order to understand the characteristics of vibration for variable mass hoisting system, according to Hamilton principle of nonholonomic, mathematical model of extensional-torsional coupled vibration for variable mass hoisting system was built,and mode shape and transcendental equation of angular frequency were obtained. Based on two methods that the mode shape is varying with the variable mass and mode shape is invariable, displacement, tension and torsion were calculated numerically. Aiming at the operating condition of skip loading for mine hoist, the results show that the responses obtained by two methods are approximately same; frequency of variable mass system decreases gradually, and the displacement, tension and torsion increase and fluctuate. Thereby, the method of supposing the mode shape invariable could be used to calculate the response expediently, and the coupled characteristics of variable vibration about frequency and fluctuate load should be considered with impact strong load, which favor to enhance the safety and reliable of hoisting system.

关键词

变质量系统 / 钢丝绳 / 轴向-扭转耦合 / 箕斗装载

Key words

variable mass system / wire rope / extensional-torsional coupled / skip’s loading

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曹国华;朱真才;彭维红;邵杏国. 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;SHAO Xing-guo. Extensional-torsional Coupled Vibration of Wire Rope in Variable Mass Hoisting System[J]. Journal of Vibration and Shock, 2010, 29(2): 64-68

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