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Ham ilton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。
In order to understand the vibration characteristics of a variable mass hoisting system,according to Hamilton principle of nonholonomic systems,a dynamic model of extension-torsionally coupled vibration of a variable mass hoisting system was built,and its modal shape and the transcendental equation determining its natural frequency were obtained.Based on two cases that the modal shape varied with the variable mass and the modal shape was invariable,displacement,tension force and torque were calculated numerically.Aiming at the operating condition of skip loading for mine hoist,the results showed that the responses obtained under the two cases are approximately same;frequency of the variable mass system decreases with mass increasing gradually,and the displacement,tension force and torque increase fluctuatively.Thereby,supposing the modal shape to be invariable could be used to calculate the response expediently,and the coupled characteristics of the variable mass system about frequency and fluctuating load should be considered under impact strong load,which is helpful to enhance the safety and reliability of the hoisting system.
出处
《振动与冲击》
EI
CSCD
北大核心
2010年第2期64-68,共5页
Journal of Vibration and Shock
基金
国家863计划项目(2009AA04Z415)
江苏省博士后科研资助计划(0902053C)
中国矿业大学青年科研基金资助项目(2009A013)
国家安全生产科技发展计划项目(08-289)
关键词
变质量系统
钢丝绳
轴向-扭转耦合
箕斗装载
variable mass system
wire rope
extensional-torsional coupled
skip's loading
