缠绕式提升系统悬绳横向振动特性的理论与实验研究

缠绕式提升系统悬绳的横向振动是钢丝绳多层缠绕有序排绳和工程安全的主要评价指标。为了研究悬绳在不同形式绳槽激励下的横振响应，基于Hamilton原理建立提升系统振动方程，推导不同形式绳槽的激励函数，用Galerkin法离散振动方程，以某布莱尔式钢丝绳提升试验台运行状态曲线作为运动参数输入分析不同形式绳槽激励下的横振响应，用高速相机记录钢丝绳振动，并提出一种有效的图像处理方法，得到悬绳固定点处横振时域图，比较模型的数值仿真解与实验结果发现：在本实验台参数下，对称绳槽激励的悬绳横振大于非对称绳槽布置；悬绳横振的实测曲线与数值仿真变化趋势基本一致，实测频率与计算频率也非常接近，说明本文建立的边界激励下悬绳的横振模型是有效的。模型可为将来超深井提升卷筒绳槽型式的选择提供可靠的理论依据。
Abstract：The transverse vibration of a winding hoist system’s hanging rope is the main evaluating index for multi-layer winding wire rope orderly arrangement and engineering safety.In order to study transverse vibration response of hanging rope under excitations of different types rope grooves, the vibration equation of the hoisting system’s hanging rope was established with Hamilton principle, excitation functions of different types rope grooves were deduced, the vibration equation was discretized using Galerkin method.The operational state curve of a certain Blair rope hoisting test platform was taken as the imported motion parameter to analyze lateral vibration responses of the hanging rope under excitations of different types rope grooves.The hanging rope’s transverse vibrations were recorded with a high speed camera, and an effective image-processing method was proposed to obtain time history figures of transverse vibration responses of the rope’s fixed point.The results of the theoretical model’s numerical simulation were compared with the test ones, it was shown that the hanging rope’s transverse vibrations under excitations of symmetric grooves are larger than those under excitations of non-symmetric grooves; the changing trend of actually measured curves of the rope’s transverse vibrations is consistent to that of the numerical simulation curves, the actually measured vibration frequencies are close to the calculated vibration ones, so the transverse vibration model established here for the hanging rope is effective, it provides a reliable theoretical basis for grooves types choosing of extremely deep well hoisting systems.