【摘要】 以提升系统中变长度柔性钢丝绳的纵向振动为研究对象,考虑钢丝绳刚性运动与变形运动的相互影响,应用Hamliton原理建立变长度提升系统钢丝绳运动微分方程,同时,利用五次多项式拟合得到的电梯理想运行状态曲线作为运动参数输入,对所建模型进行了算例分析。数值仿真结果表明:所提出的方法能较好地反映变长度提升系统钢丝绳的纵向振动特性,推导出的方程为电梯钢丝绳纵向振动特性的进一步分析提供了依据。更多还原

【Abstract】 Aiming at the longitudinal vibration of rope hoisting systems with time-varying length,the governing equations were developed employing the energy method and Lagrange method considering mutual influences between rigid motion and rope deformation.The motions of elevator hoisting systems were illustrated to evaluate the proposed mathematical models.The simulation results show that the modeling methods can well represent the longitudinal vibration of rope hoisting systems with time-varying length.The governing equations derived can provide reference to further study.更多还原