弹簧摆碰撞减震系统计算模型研究

Calculation Model of Impact Vibration Reducing System of Spring Pendulum

目的为了减小高柔结构在地震作用下的动力响应,提出了弹簧摆碰撞减震系统,以降低高柔结构在地震作用的动力响应.方法基于拉格朗日方程及HertzDamp碰撞模型推导了弹簧摆碰撞减震系统的运动方程;选取El Centro地震波验证了弹簧摆碰撞减震系统的减震效果;分析了地震强度对减震效果的影响.结果弹簧摆碰撞减震系统减震效果受地震强度影响,地震动烈度越大减震效果越好.在弹簧摆未与限位器发生碰撞时,阻尼器依靠弹簧振动与整体摆动的内共振现象增强吸震效果;在弹簧摆与限位器发生碰撞时,依靠撞击耗能来降低结构动力响应.在中震作用下,弹簧摆碰撞减震系统减震率为13%~19%.结论弹簧摆碰撞减震系统充分利用了弹簧摆的内共振现象及碰撞冲力做功耗能两种减震机理,减震效果良好,适用于超高层结构及高耸结构的振动控制.

An impact vibration reducing system of spring pendulum is offered to reduce the seismic response of the high-rise structure.The equation of motion for the structure-impact system is obtained through Lagrangian equation and Hertz-damp model;the vibration reducing effect of the system is verified by El Centro seismic wave.The influence of the shock absorption of the damper which influences by the different earthquake intensity is analyzed,and the results show that the stronger of the earthquake is,the better of the damping effect is.When the mass block doesn′t collides with the limiter,the damper based on the internal resonance by the circular frequency of the suspension mass vibration and the damper swing to reduce the seismic response of the structure;when the mass block collides with the limiter,the damper depends on collision to consume the earthquake energy.It is found that the vibration reduction ratio of the structure under moderate earthquake is 13.4%~19.9%.Because the impact vibration reducing system of spring pendulum makes full use of the internal resonance phenomenon and the energy consumption of impact,its damping effect is very good,and it is suitable for vibration control of high-rise structure.