变长度柔性提升系统钢丝绳横向振动建模及分析

基于连续介质力学理论,考虑变形产生的几何非线性因素对提升系统变长度钢丝绳的影响,应用能量法和Hamliton原理建立了提升系统变长度钢丝绳横向振动控制方程,推导中应用了Galerkin截断法对振动方程进行离散化处理,同时借助Matlab软件对方程进行求解,最后以曳引电梯提升系统为例对所建模型进行了计算.结果表明:基于连续介质理论的建模方法能较好地反映柔性提升系统的动力学特性,提出的数学模型和求解方法是有效的.

Modeling and Analysis of Rope Transverse Vibration for Flexible Hoisting Systems with Time-Varying Length

Transverse vibration of rope with time-varying length was investigated considering the continuum medium mechanics and the effect of the geometrically non-linear kinematics of deformation.The governing equations were developed employing the Hamilton’s principle.The Galerkin’s method is used to discretize the governing equations.The motions of traction elevator hoisting systems were illustrated to evaluate the proposed mathematical models and solution method.The results of simulation show that the modeling methods considering the continuum medium mechanics can well represent the transverse vibration of hoisting rope systems with time-varying length.