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以立井提升系统中发生卡罐时的柔性钢丝绳的横向振动为研究对象,应用Hamilton原理建立提升系统钢丝绳运动微分方程,并用Galerkin法对控制方程进行离散化处理,同时借助Matlab软件对方程进行求解。最后,用实例对所建模型进行了计算。数值仿真结果表明:所提出的方法能较好地反映立井提升系统中发生卡罐时钢丝绳的横向振动特性,推导出的方程为提升系统钢丝绳振动特性的进一步分析提供了依据。
In this paper, the lateral vibration of the flexible steel wire ropes during the vertical shaft rising is taken as the research object. The differential equations of motion of the wire rope are established by using the Hamilton principle. The governing equations are discretized by the Galerkin method. At the same time, the equations are solved by Matlab software. Finally, the model is calculated by an example. The numerical simulation results show that the proposed method can well reflect the lateral vibration characteristics of the steel wire rope in the tank hoisting system. The derived equations provide the basis for further analysis of the vibration characteristics of the steel wire rope.