悬索桥颤振主动抑制研究

RESEARCH ON ACTIVE FLUTTER SUPPRESSION OF SUSPENSION BRIDGE

选用二次型性能指标，把悬索桥颤振主动抑制问题转化为线性二次型高斯（ＬＱＧ）问题，设计了颤振主动抑制的最优滤波器及最优控制律．其中，引入Ｒｏｇｅｒ有理近似拟合气动力自激项，对脉动风的描述归结为成型滤波器设计；稳定性判定归结为根轨迹图的判断；抖振响应计算归结为Ｌｙａｐｕｎｏｖ方程求解．以某悬索桥为算例，计算结果表明：对该类桥梁进行颤振主动抑制，效果良好．

The active flutter suppression of suspension bridge was achieved according to the solution of Linear Quadratical Guassian (LQG)problem by selecting quadratic performance index.Roger Approximation Method was used to refine the unsteady self excited aerodynamic force,while the discription of buffeting force was converted into shaping filter design.Stability of closed loop system can be judged by locus root plot,and buffeting response is obtained by solving Lyapunov equation.The calculation results to one real bridge show that it is effecient to carry out active flutter suppression and the conclusion is referential in engineering.