装载过程中提升钢丝绳的纵向振动特性

Analysis of Longitudinal Vibration of Wire Rope During Loading Process

利用变质量非完整系统的哈密顿原理,建立了装载过程中钢丝绳纵向振动的力学模型,并推导出其纵向振动微分方程和频率方程。在此基础上,计算了系统的固有频率、钢丝绳振动位移、振动速度和动张力,同时研究了装载方式对钢丝绳振动响应的影响。研究结果表明:随着装载进行,系统第一阶固有频率变化最大,钢丝绳末端的振动位移和动张力以波动的形式逐渐增加。同时计算表明,使用装载流量逐渐增加的装载方式更加合理。

The longitudinal vibration model of wire rope on loading is established and the governing differential e- quation of longitudinal vibration and the frequency equation are deduced by using the Hamilton＇s principle of non- holonomic variable mass system. On this basis, the natural frequency of the system and the vibration displacement, vibration velocity and dynamic tension of wire rope are investigated, and the influence of loading method on vibra- tion response is studied. The calculating results show that the natural frequency of system decrease gradually, but the vibration displacement and dynamic tension of the lower end of wire rope increase with fluctuation. In addition, the results suggest that the loading method of gradually increasing loading flow is more suitable in practice.