高速曳引电梯时变元模型与水平振动响应分析

Time-varying element model of high-speed traction elevator and its horizontal vibration response analysis

为了分析高速曳引电梯运行过程中由于曳引钢丝绳的时变特征引起的非线性时变振动问题,提出了一种曳引绳-轿厢系统时变元模型,将曳引绳处理为运动弹性弦,将与其底端相连的轿厢处理为质量-弹簧-阻尼元件结构,并运用Lagrange方法推导了该系统的水平方向非线性参激动力学方程.以五次多项式拟合得到的电梯运行状态曲线作为运动参数输入,采用高精度、高效率的精细积分法进行算例分析,仿真得到高速曳引电梯运行过程中曳引绳-轿厢系统的非线性水平振动响应.结果表明,提出的高速曳引电梯时变元模型及其求解方法是有效的,如实反映了系统的非线性时变特征,并对曳引电梯系统中常见的"绳体收缩失稳"现象作出了理论解释.

A time-varying element model of hoist cable-car system was proposed to investigate the vibration of high-speed traction elevator due to the time-varying feature of hoist cable. The system was modeled as a moving elastic string with a mass-spring-damper part attached at the bottom representing the elevator car. The horizontal nonlinear dynamic equation with parametric excitation for high speed traction elevator was derived according to the Lagrange method. The nonlinear horizontal vibration response of high-speed traction elevator was calculated based on the precise integration method utilizing the 5th order polynomial fitted movement profile as the input. Results show that the time-varying element model and its solving meth od are effective in revealing the nonlinear time-varying characteristics of traction elevator, and the inherent ＂unstable shortening cable behavior＂ encountered in traction elevator system is explained in theory.