ATMD对斜拉桥抖振减振的控制设计模型研究

发布时间：2018-12-09 09:39

【摘要】：对斜拉桥的大幅风致抖振宜采用ATMD(active tuned mass dampers)减振,且为实现控制器设计需建立针对复杂模型降阶后的控制设计模型。在建立风荷载作用下斜拉桥与ATMD组合系统模型的基础上,将Hankel范数与模态分析相结合,提出目标含义明确且考虑外激励影响的ATMD/传感器配置指标,以及能够同时表征结构振动的可控可观性能和外激励影响程度的模态选择指标;采用模态叠加法,实现在控制设计模型的模态组成中模态阶次的准确定位和构成,并使模型具有良好的可控可观性能。以南京长江三桥的抖振减振为例,给出了ATMD/加速度传感器的配置优化和模态选择的实施过程,建立了ATMD对斜拉桥抖振减振的控制设计模型。数值计算结果表明,所建的控制设计模型的动力性能与原系统模型有较好的一致性。
[Abstract]:For the large wind-induced buffeting of cable-stayed bridge, ATMD (active tuned mass dampers) should be used to reduce the vibration, and the control design model should be established after reducing the order of the complex model to realize the controller design. Based on the model of cable-stayed bridge and ATMD composite system under wind load, combining Hankel norm with modal analysis, the ATMD/ sensor configuration index with clear target meaning and considering the influence of external excitation is proposed. And the modal selection index which can represent the controllable observable performance of the structure vibration and the influence degree of the external excitation at the same time. The modal superposition method is adopted to realize the accurate location and construction of the modal order in the modal composition of the control design model, and the model has good controllable observability. Taking the buffeting vibration reduction of Nanjing Yangtze River third Bridge as an example, the configuration optimization and modal selection of ATMD/ acceleration sensor are given, and the control design model of ATMD for buffeting vibration reduction of cable-stayed bridge is established. The numerical results show that the dynamic performance of the control design model is in good agreement with the original system model.
【作者单位】：北京交通大学土木建筑工程学院;
【基金】：国家自然科学基金资助项目(51008019) 中央高校基本科研业务费专项资金资助项目(2014JBM085) 高等学校博士学科点专项科研基金资助项目(20100009120022) 交通运输部科研重大专项资助项目(2011318223170)
【分类号】：U448.27;U441.3

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