悬吊式TMD周期性能研究  

The Characteristic Period of the Pendulum TMD

作　　者：施卫星[1] 李晓玮[1] 汪洋[2] 

机构地区：[1]同济大学结构工程与防灾研究所,上海200092 [2]上海电力学院,上海200090

出　　处：《结构工程师》2014年第2期74-78,共5页Structural Engineers

摘　　要：为了实现TMD对水平方向振动的控制,可以采取悬吊的方式,通过调整摆长来调谐被控结构的自振周期。鉴于TMD调频带宽较窄,确定系统的周期特性尤为重要。现在普遍用于计算周期的方法是单摆周期公式。但是在使用过程中发现,诸多因素会对单摆TMD的周期产生影响,比如大摆角、附加阻尼、吊杆的转动刚度、吊点位置等。采用非线性的经典方法——平均法分析大摆角和弱阻尼对单摆周期公式的影响,采用虚位移方法推导吊杆的转动刚度、吊点位置对单摆周期公式的影响。得到它们的影响规律:摆角和阻尼增大会使单摆周期增大,吊杆的转动刚度增大周期变小,吊点位置相对于质量块质心越靠上,周期越小。The suspension TMD can achieve the purpose of vibration control of the main structure at horizontal directions. The period of the TMD can be tuned by adjusting the length of the pendulum. Since the TMD has a narrow effective frequency band, it is important to accurately determine the period of the pendulum TMD. Currently, the period is calculated by refering to the period of a simple pendulum. But many factors have impacts on the period during its use, such as large swing angle, additional damping, rotational stiffness in the hanging position, inertial moment of the mass, connection position, etc. A classical nonlinear method, the averaging method, is adopted to analyze the effect of large swing angle and weak damping on the pendulum period formula. The virtual displacement method is applied to derive the pendulum period formula that is affected by the rotational stiffness, inertial moment of the mass and connection position. The influences of the factors can be summarized as： （ 1 ） an increase of the swing angle and an increase of damping contribute to the increase of period; （2） a smaller period comes from the increase of the rotational stiffness in the hanging posi- tion; （3） the higher the connection position relative to the mass centroid is, the smaller the period.

关 键 词：周期修正 大摆角 附加阻尼 转动刚度 

分 类 号：TU352.1[建筑科学—结构工程]