高速电梯提升系统横向振动建模与参数影响分析
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摘要
为研究高速电梯提升系统横向振动规律,应用Hamilton原理建立提升系统横向振动方程。以某电梯实际运行状态作为运动输入参数,求解获得轿厢和轿厢上方5 m处钢丝绳的横向振动响应曲线。改变曳引钢丝绳的提升质量、线密度和导靴的刚度系数等参数,获得不同参数下轿厢的横向振动响应。结果表明:电梯提升过程中,轿厢和轿厢上方5 m处钢丝绳的横向振动响应逐渐增加。同等条件下,减小单根钢丝绳的提升质量,增加钢丝绳的线密度,选取小刚度大阻尼的导靴,轿厢的横向振动响应较小。
In order to explore the transverse vibration of the high-velocity elevator's hoisting system,Hamilton's principle is applied to work out the transverse vibration equation for the hoisting system.The running status of a certain elevator is taken as the motion-input parameter to obtain the transverse-vibration response curves of the lift car and the steel rope 5 m above it.The transverse-vibration responses of the lift car with different parameters are identified by changing the hoisting mass and linear density of the traction steel rope,as well as the guide shoe's rigidity coefficient.The results show that when the elevator hoisted,the transverse-vibration responses of the lift car and the steel rope 5 m above it increases gradually.Under the same condition,the transverse vibration response is minor if the hoisting mass of the single steel rope reduces,the linear density of the steel rope increases,and the guide shoe featuring lower rigidity and high damping is selected.
In order to explore the transverse vibration of the high-velocity elevator's hoisting system,Hamilton's principle is applied to work out the transverse vibration equation for the hoisting system.The running status of a certain elevator is taken as the motion-input parameter to obtain the transverse-vibration response curves of the lift car and the steel rope 5 m above it.The transverse-vibration responses of the lift car with different parameters are identified by changing the hoisting mass and linear density of the traction steel rope,as well as the guide shoe's rigidity coefficient.The results show that when the elevator hoisted,the transverse-vibration responses of the lift car and the steel rope 5 m above it increases gradually.Under the same condition,the transverse vibration response is minor if the hoisting mass of the single steel rope reduces,the linear density of the steel rope increases,and the guide shoe featuring lower rigidity and high damping is selected.
引文
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[2]GB 10058-2009电梯技术条件[S].
[3]张长友,朱昌明.电梯系统动态固有频率计算方法及减振策略[J].系统仿真学报,2007,19(16):3856-3859.
[4]武丽梅,巩煜琰,李雪枫.曳引式电梯机械系统垂直振动动态特性分析[J].机械设计与制造,2007,56(10):16-18.
[5]Wang Dagang.Effect of various kinematic parameters of mine hoist on fretting parameters of hoisting rope and a new fretting fatigue test apparatus of steel wires[J].Engineering Failure Analysis,2012,22(2):92-112.
[6]Zhu W D,Ni J.Energetics and stability of translating media with an arbitrarily varying length[J].Journal of Vibration and Acoustics,2000,122(122):295-304.
[7]张鹏.高速电梯悬挂系统动态性能的理论与实验研究[D].上海:上海交通大学,2007.
[8]包继虎,张鹏,朱昌明.变长度提升系统钢丝绳纵向振动特性[J].振动与冲击,2013,32(15):173-177.
[9]吴娟,寇子明,梁敏,等.多绳摩擦提升系统钢丝绳横向振动分析与试验[J].华中科技大学学报,2015,43(6):12-21.