TMD对高速列车通过简支箱梁桥时的振动控制研究

VIBRATION SUPPRESSION FOR SIMPLY SUPPORTED BRIDGES PASSED BY HIGH-SPEED TRAINS USING TUNED MASS DAMPERS(TMD)

提出了一种可考虑TMD影响的列车桥梁空间振动时域分析方法,桥梁采用常规有限单元模拟,高速列车、TMD采用由弹簧阻尼器相连的多刚体模拟,直接建立车-桥-TMD时变系统运动方程,采用数值积分方法求解系统空间动力响应。以无碴轨道预应力混凝土40m双线简支箱梁为例,首先对日本S.K.S.列车通过桥梁时引起共振的临界车速进行了分析,为控制箱梁共振车速下的较大振动响应,研究TMD不同参数对箱梁振动控制效果,大量计算了列车通过加装不同参数TMD箱梁时的动力响应。计算结果表明采用TMD可有效抑制高速铁路简支箱梁的共振,并得出了一种确定共振车速和TMD优选参数的简便方法,可供工程应用参考。

An analytical approach for analyzing the special vibration of train-bridge system in time domain consider- ing the effects of TMD was presented.The bridge was modeled by using the finite element method and the high-speed trains and TMD were modeled as a combination of several rigid bodies connected between themselves by a series of springs and dampers.The equations of motion of the system of vehicle,bridge and TMD were established,and the numerical inte- gration method was adopted to calculate its dynamic responses.A case study of a 40-metres simply supported PC box beam bridge without ballast was conducted.The critical speeds were obtained which lead to resonances of bridge when passed by the Japanese train S.K.S.In order to reduce the large resonant responses under the critical speeds and study the suppres- sion effects on the vibration of bridge,the responses of the bridge with TMD of different parameters passed by high-speed trains were computed.It is shown that TMD is a useful vibration control device in reducing the resonant responses of sim- ply supported bridge of high-speed railway.The methods to determine the critical speeds and the parameters of TMD are rather simple and easy to use.