多绳摩擦提升系统动力学特性研究

Research on Dynamic Properties of Multi-cable Friction Hoisting System

针对多绳摩擦式立井提升系统的耦合振动问题,应用连续体建模方法和第一类拉格朗日方程,建立了该系统的力学模型。对模型进行数值求解,得到了提升钢丝绳、提升容器以及尾绳的动力学特性。数值分析结果发现:在主加速阶段,提升钢丝绳的横向振动振幅和频率均较小;在匀速运行时,提升钢丝绳越长,横向振动振幅越大、频率越小。扭转共振发生在主加速阶段,并且在匀速阶段离开共振区域趋于稳定;由于加速度变化,在主减速阶段变得剧烈。

Aiming at the coupling vibration problem of the multi-cable friction hoisting system, a dynamic model of the system was established by using the continuum modeling method and the Lagrange′ s equation of the first kind. The dynamic properties of hoisting rope, conveyance and tail rope were obtained by numerical solution of the model. The numerical analysis results show that in the main acceleration stage the transverse vibration amplitude and frequency are small. When runs at constant speed, the amplitude of transverse vibration increases gradually with the increase of hoisting wire rope length,the frequency decreases gradually. Torsional resonance occurs in the main acceleration stage. When runs at constant speed, it leaves the resonance region and tends to be stable. In the main deceleration stage, its torsional vibration becomes violent due to the change of acceleration.