有限差分法模拟电梯悬挂系统横向受迫振动  

Finite difference method for simulating transverse forced-vibration of elevator suspended system

作　　者：王文[1] 钱江[1] 

机构地区：[1]同济大学结构与防灾研究所,上海200092

出　　处：《振动工程学报》2014年第2期180-185,共6页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(90815029);科技部国家重点实验室基金资助项目(SLDRCE10-B-07)

摘　　要：电动机偏心旋转、导轨不规则和高层建筑的摇晃对高速运行的电梯产生位移激励,这种激励是引起电梯悬挂系统横向振动的重要因素。基于广义的Hamilton原理,建立了电梯悬挂系统变长度曳引绳受迫振动控制方程,在耦合项中忽略纵向项,得到任意变长度曳引绳的横向振动方程。提出了一个改进的有限差分方法,基于离散的控制方程建立了变系数的常微分方程组。以典型曳引电梯悬挂系统为例,仿真得到电梯运行中变长度曳引绳的横向振动位移响应和能量变化,并与Galerkin方法得到的结果进行了对比,两者基本吻合。最后定量分析了轿厢弹簧刚度对最大绳索位移和振动能量的影响。A high-speed moving elevator is subjected to displacement excitations due to motor eccentric rotation, guide rail ir regularity and building sway. The excitations are significant factors which cause transverse vibration of elevator suspended system. The governing equations for vibration of the hoisting rope of arbitrarily varying length are developed based on the general ized Hamilton＇s principle. The partial-differential equations characterizing transverse vibration of the hoisting rope are obtained via neglecting longitudinal terms. A modified finite difference approach is presented. A set of ordinary differential equations are established based on the discrete governing equations. For a typical traction elevator suspended system, the transverse vibration response of the hoisting rope and the vibration energy is determined. The response obtained by the Galerkin method is used to verify the validity of the proposed method, the two methods show a good agreement. At last, the effect of the spring stiffness on the maximum rope displacement and vibration energy is quantitatively analyzed.

关 键 词：横向振动 电梯悬挂系统 曳引绳 有限差分法 数值解 

分 类 号：TB123[理学—工程力学] TU857[理学—力学]