双频率调谐质量阻尼器在桥梁抖振控制中的应用

Application of Dual-Frequency Tuned Mass Damper to Buffeting Control of Bridges

DTMD是一种新型的具有双频率的调谐质量阻尼器,与普通TMD(调谐质量阻尼器)相比,可以同时实现对桥梁主梁竖向和扭转振动的控制.文中基于多模态耦合抖振理论,导出带有DTMD的桥梁抖振系统运动微分方程,列式中考虑了多模态参与作用和模态间的气动耦合效应,并应用随机振动理论求解系统运动微分方程.最后以一座斜拉桥为例,分析了频率和阻尼比对减振效率的影响,并评价了DTMD对桥梁耦合抖振的双重制振性能.结果表明,与普通TMD相比,DTMD对桥梁抖振具有更高的减振效率.

DTMD （Dual-Frequency Tuned Mass Damper） is a new-type tuned mass damper （TMD） with dual frequencies. Compared with the conventional TMD, it can simultaneously control the vertical and torsional vibrations of the bridge deck. In this paper, the buffeting differential equations governing the motion of the bridge with DTMD are established based on the multi-mode coupled buffeting theory. Multi-mode participation and aerodynamic coupling among modes are all taken into account in the formulation. The random vibration theory is then used to solve the buffeting differential equations of the system. Finally, parametric studies on a cable-stayed bridge are performed to investigate the effects of the frequency and the damping ratio on the reducing efficiency, and the dual-reduction characteristics of the DTMD for bridge buffeting control are also discussed. The results show that DTMD has higher reduction efficiency than the conventional TMD.