该文研究分布式TMD(tuned mass dampers)和ATMD(active tuned mass dampers)对斜拉桥抖振响应竖向减振的优化设计和减振效果,采用H∞控制理论设计分布式TMD和ATMD,并通过对竖向减振效果的评价实现控制方案优化。以处于施工状态的南京长江三桥为例,考虑自激力对气动刚度和阻尼的贡献,实现分布式TMD和ATMD参数的同步优化和控制器设计,对斜拉桥抖振响应及其竖向减振进行数值分析,结果显示若仅采用分布式TMD或分布式ATMD将难于同时实现对斜拉桥位移和加速度响应的有效减振,而采用分布式TMD和ATMD的组合系统并对结构多个模态振型调谐,可有效减小施工状态斜拉桥的竖向风振响应。
This research is on the design optimization and performance control of tuned mass dampers(TMDs) and active tuned mass dampers(ATMDs).H∞ control synthesis algorithm is used to design the multi-distributed TMDs and ATMDs,and through the estimation of control efficiency,an optimal control scheme is obtained.Taking the 3rd Nanjing Bridge over Yangtze River as an example,the analytical model is established here.Considering the contribution of self-excited force to aerodynamic damping and stiffness,the parameters of the multi-distributed TMDs and ATMDs are optimized at the same time and the controller is designed.Controlled performance for buffeting response of the bridge is numerically analyzed.Results show that both the multi-distributed TMDs and ATMDs have limitation in practice and can not achieve good performance for the control of displacement response and acceleration response of the cable-stayed bridge under construction at the same time.An effective scheme of hybrid system combining TMDs with ATMDs that are tuned to different modes shows good efficiency for the wind-induced vibration control of the cable-stayed bridge.