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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 paper studies the optimal design and damping effect of tuned mass dampers (TMDs) and ATMs (active tuned mass dampers) on vertical vibration damping of cable-stayed bridges. H∞ control theory is used to design distributed TMDs and ATMDs. And through the evaluation of the vertical damping effect to achieve control program optimization. Taking Nanjing No. 3 Bridge in Nanjing as an example, considering the contribution of self-excitation to the aerodynamic stiffness and damping, the simultaneous optimization of TMD and ATMD parameters and the controller design are realized. The vibration response and vertical The results of numerical simulation show that it is difficult to achieve the effective vibration damping of cable stayed bridge displacement and acceleration response simultaneously by using distributed TMD or distributed ATMD only. Modal modal tuning can effectively reduce the vertical wind-induced vibration response of cable-stayed bridges under construction.