电梯悬挂系统在建筑摇晃引起的位移激励下的横向振动分析

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (7) : 70-73.

论文

电梯悬挂系统在建筑摇晃引起的位移激励下的横向振动分析

王文钱江

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ANALYSIS OF TRANSVERSE VIBRATION OF ELEVATOR SUSPENDED SYSTEMS SUBJECTED TO DISPLACEMENT EXCITATION DUE TO THE STRUCTURE SWAY

WANG Wen QIAN Jiang

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摘要

高层建筑在各种水平荷载作用下引起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。以高速运行的电梯悬挂系统的横向振动为研究对象，应用Hamilton原理建立了电梯悬挂系统在建筑物摇晃引起的两点位移激励下的横向振动偏微分方程，并用Galerkin方法对运动方程进行离散化求解。数值算例计算了建筑物以不同频率摇晃时电梯悬挂系统的横向振动响应，并研究了轿厢弹簧刚度、集中阻尼和绳索分布阻尼对系统振动的影响。数值结果表明：当轿厢自振频率、绳索固有频率和建筑物摇晃引起的惯性力频率接近时，悬挂系统产生共振；通过改变弹簧刚度和阻尼系数，系统振动能得到不同程度的抑制。

Abstract

A high-speed moving elevator is subjected to displacement excitation due to building sway caused by all kinds of horizontal loads. The excitation is a significant factor which causes transverse vibration of elevator suspended systems. Aiming at the transverse vibration of elevator suspended systems, the partial differential equations are developed using the Hamilton’s principle. The Galerkin’s method is used to discretize the governing equations, which can be solved by numerical methods. The response of typical systems under excitation of different frequencies is calculated by numerical example, and the effects of the spring stiffness, the lumped and distributed damping on the vibration are investigated. The results of simulation show that it often results in a passage through resonance conditions in the suspended system when the frequencies of the car and ropes approach the frequency of the inertial load resulting from the building sway; the vibration of elevator suspended systems is restrained more or less through change the spring stiffness and dampings.

导出引用

王文钱江. 电梯悬挂系统在建筑摇晃引起的位移激励下的横向振动分析[J]. 振动与冲击, 2013, 32(7): 70-73

WANG Wen QIAN Jiang. ANALYSIS OF TRANSVERSE VIBRATION OF ELEVATOR SUSPENDED SYSTEMS SUBJECTED TO DISPLACEMENT EXCITATION DUE TO THE STRUCTURE SWAY[J]. Journal of Vibration and Shock, 2013, 32(7): 70-73