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机构地区:[1]同济大学结构工程与防灾研究所,上海200092
出 处:《振动与冲击》2013年第7期70-73,共4页Journal of Vibration and Shock
摘 要:以高层建筑在各种水平荷载作用下摇晃对高速运行电梯产生位移激励,引起电梯悬挂系统横向振动为研究对象,应用Hamilton原理建立电梯悬挂系统在建筑物摇晃引起两点位移激励下的横向振动偏微分方程,用Galerkin方法对运动方程进行离散化求解。数值算例计算建筑物以不同频率摇晃时电梯悬挂系统横向振动响应;研究轿厢弹簧刚度、集中阻尼及绳索分布阻尼对系统振动影响。数值结果表明:当轿厢自振频率、绳索固有频率与建筑物摇晃引起的惯性力频率接近时,悬挂系统产生共振;通过改变弹簧刚度与阻尼系数,系统振动可得到不同程度抑制。A high-speed moving elevator was subjected to displacement excitation due to building sway caused by all kinds of horizontal loads. The excitation caused transverse vibration of the elevator suspended system. Aiming at the transverse vibration of the elevator suspended system, its partial differential equations of motion were developed using Hamilton principle. Galerkin method was used to discretize the governing equations, they could be solved with numerical methods. The response of a typical system under excitations with different frequencies was calculated in a numerical example, and the effects of the suspension spring stiffness, the lumped damping and the distributed damping of the ropes on the vibration of the system were investigated. The simulation results showed that the resonance of the suspended system may occur when the natural frequencies of the car and ropes approach the frequency of the inertial load due to building sway; the vibration of the elevator suspended system can be suppressed at different levels through changing the spring stiffness and dampings.
关 键 词:电梯悬挂系统 建筑摇晃 横向振动 GALERKIN方法 数值解
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