有限差分法模拟电梯悬挂系统横向受迫振动

发布时间：2019-02-26 09:32

【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。
[Abstract]:The eccentricity of the motor, the irregularity of the guideway and the shaking of the high-rise building cause the displacement excitation of the high-speed elevator, which is an important factor to cause the lateral vibration of the elevator suspension system. Based on the generalized Hamilton principle, the forced vibration control equation of variable length traction rope for elevator suspension system is established. The longitudinal term is ignored in the coupling term, and the lateral vibration equation of arbitrary variable length traction rope is obtained. An improved finite difference method is proposed. Based on the discrete governing equations, the ordinary differential equations with variable coefficients are established. Taking the typical towing elevator suspension system as an example, the lateral vibration displacement response and energy variation of the traction rope with variable length in elevator operation are simulated and compared with the results obtained by Galerkin method. The results are basically in agreement with the results obtained by the Galerkin method. Finally, the influence of spring stiffness on the maximum rope displacement and vibration energy is analyzed quantitatively.
【作者单位】：同济大学结构与防灾研究所;
【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)
【分类号】：TU857

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