基于柔度法的大跨度悬索桥颤振主动控制理论与试验研究

How to design robust flutter controller based on the practical wind-induced vibration performance of suspension bridge is the bottleneck for active flutter suppression in suspension bridges. The method of receptances is a method for active vibration control design used in Aerospace Engineering Community. The project investigates active flutter control in large span suspension bridges by the method of receptances. It aims to cope with three important issues in flutter control design, i.e. no spill-over, robustness and minimum control effort. Theoretical analysis, numerical verification and bridge deck section wind tunnel tests will be conducted. A theory of partial pole placement based on the receptance method and regional pole placement will be proposed to ensure no spill-over and large freedom for choosing control gains. A robustness index will be established based on measured open-loop receptances. The optimization of control effort based on the minimum norm of control gain matrices will be studied. A new theory of receptance-based minimum norm and robust partial regional pole placement will be developed for active flutter suppression such that flutter in a large span bridge will be suppressed by a controller designed based on its practical wind-induced vibration performance. The project lays a foundation to the application of active flutter control techniques to practical large span bridges, and has large theoretical and practical values.

如何充分利用悬索桥在真实场地下的风致振动性能进行鲁棒颤振控制设计是悬索桥颤振主动控制的瓶颈。柔度法是航空领域中一种基于结构实测柔度进行主动振动控制设计的方法。本项目采用柔度法，针对颤振控制中需解决的控制无溢出、鲁棒性和作动器耗能等关键科学问题，从理论、数值模拟和节段模型风洞试验三个方面，对大跨度悬索桥颤振主动控制进行深入研究。基于柔度法和“特征值区域配置”思想，提出部分特征值区域配置柔度法新理论，确保颤振控制无溢出，并为鲁棒控制和作动器耗能优化提供潜能；建立基于结构开环实测柔度的鲁棒性指标函数；研究基于最小反馈增益矩阵范数的最小耗能控制；提出一种基于最小范数鲁棒部分特征值区域配置柔度法的颤振主动控制新理论，实现以悬索桥实测风致振动性能为设计基础的低能耗鲁棒颤振控制。项目成果可以为实现大跨度悬索桥颤振主动控制的工程应用提供理论基础和依据，具有较大的理论意义和工程实用价值。

如何充分利用悬索桥在真实场地下的风致振动性能进行鲁棒颤振控制设计是悬索桥颤振控制的瓶颈。柔度法是航空领域中一种基于结构实测柔度进行主动振动控制设计的方法。本项目创新了基于测量柔度和特征值区域配置方法的H2优化振动控制方法，同时实现了系统稳定、闭环控制表现最优和作动器耗能最小；提出了基于一定风速和攻角范围内有限带宽测量柔度集的桥梁颤振主动控制方法，以保证所设计控制器的鲁棒性；提出了基于柔度的不确定系统鲁棒稳定控制方法，提高了闭环系统的鲁棒稳定性；提出了基于测量模态参数和颤振裕度的桥梁颤振预测方法，实现了真实场地下悬索桥颤振性能预测；建立了基于颤振裕度和TMD的颤振被动控制方法，相较于既有基于TMD的颤振控制方法，较大幅度地提高了颤振临界风速。项目从理论、数值模拟和风洞试验验证三方面开展了系统研究，实现以悬索桥实测风致振动性能为基础的颤振预测与控制。项目成果为实现大跨度悬索桥颤振主动控制的工程应用提供初步探索，具有较大的理论意义和工程实用前景。