高耸结构低频振动控制装置及其运动微分方程与减振效果研究

High-rise low-frequency pendulum vibration-control device and the study of its motion differential equation and damping effect

针对高耸结构尺寸特点及振动特性,文中介绍了一种低频摆式振动控制装置。该装置可实现超低频控制,具有摩擦阻力小,反应灵敏,吸振能力强的特点。文中首先根据拉格朗日方程建立该装置的近似运动微分方程,然后在Workbench软件中对该装置的自由衰减振动进行仿真。结果表明:微分方程频率特征项与仿真数据吻合很好,阻尼项比仿真结果大25.4%。最后,文中使用预应力谐振响应分析方法,确定了该装置最优调谐频率与最优阻尼比,并指出该装置(质量460 kg)能减小风电机组1阶弯曲振动(模态质量130 t)46.4%的共振振幅,相当于能提供1.72%的模态阻尼比。

According to the size and the vibration characteristics of the high-rise structure,a low-frequency pendulum vibration-control device,which works under the ultra-low frequency conditions and has the characteristics of minor friction,high flexibility and strong vibration-absorbing ability,is introduced in this article.Firstly,an approximate differential equation of the damping device’s movement is worked out according to the Lagrange’s equation;then,for the damping device,the damped-free vibration is simulated by means of the workbench software.The results show that the frequency characteristics in the differential equation are in good agreement with the simulation data and that the damping in the differential equation is 25.4%larger than the simulation result.Finally,the pre-harmonic response analysis is conducted to get the optimal frequency and damping ratio for the damping device.The result shows that the device,which has a mass of 460 kg,reduces 46.4%of resonance amplitude of the vibrating equipment with a mass of 130 t.Thus,the device provides the damping ratio of 1.72%for the vibrating equipment.