桥梁断面颤振控制的TMD优化设计方法

Optimal Design Method of TMD for Flutter Control of Bridge Decks

为提高调谐质量阻尼器(TMD)对桥梁断面颤振的控制性能,提出了2种新的TMD参数优化设计方法,即考虑气弹效应影响的经验公式方法和数值优化方法。首先,基于二维耦合颤振理论建立桥梁-TMD系统运动微分方程。其次,以流线形桥梁断面节段模型为例,对比分析考虑气弹效应影响的2种设计方法和传统TMD设计方法所得到的桥梁-TMD系统颤振临界风速与鲁棒性能,并对TMD用于桥梁颤振控制的原理与不同设计方法差异化原因开展分析。研究表明,考虑气弹效应影响的经验公式方法和数值优化方法相较传统TMD设计方法能显著提高桥梁-TMD系统颤振临界风速,其中数值优化方法得到的桥梁-TMD系统颤振控制性能最优,且相较传统设计方法得到的桥梁-TMD系统,在鲁棒性方面也有了较大提升。考虑气弹效应影响的2种优化方法可进一步提高桥梁颤振安全系数,为实际工程应用提供理论参考。

In order to improve the control performance of tuned mass damper(TMD)on bridge section flutter,two new optimization design methods for TMD parameters were proposed,namely,the empirical formula method and the numerical optimization method considering the influence of aeroelastic effect.Firstly,the kinematic differential equation of bridge-TMD system was established based on two dimensional coupled flutter theory.Secondly,taking the section model of a flowing bridge as an example,the flutter critical wind speed and robustness of the bridge-TMD system obtained by the two design methods considering the influence of aeroelastic effect and the traditional TMD design method were compared and analyzed,and the principle of TMD applied to bridge flutter control and the reasons for the differences among different design methods were analyzed.The results show that the empirical formula method and numerical optimization method considering the influence of aeroelastic effect can significantly improve the flutter critical wind speed of bridge-TMD system compared with the traditional TMD design method.The flutter control performance of bridge-TMD system obtained by the numerical optimization method is the best,and compared with the traditional design method,In the aspect of robustness has also been greatly improved.The two optimization methods considering the influence of aeroelastic effect can further improve the flutter safety factor of bridge and provide theoretical reference for practical engineering applications.