多维Benchmark桥梁结构半主动控制策略

随着大跨度桥梁结构的广泛应用，作为生命线工程之一的桥梁结构振动问题备受关注。结构振动控制作为一种新方法，可以有效的减小结构振动响应。半主动控制只需较少的能量调节便可对最优控制力进行跟踪，进而成为研究的热点。传统的最优控制算法（LQR）需要计算复杂的Riccati方程，具有在线计算时间长等缺点。基于最优控制与计算结构力学之间的模拟理论，引入区段混合能的概念，将Riccati方程转化为区段矩阵的求解，采用水平双向布置MR阻尼器的方法对桥梁结构进行振动控制，考虑了桥梁结构3个方向的平动分量和转动分量，基于哈密顿体系提出了LQR半主动控制策略。最后，对Benchmark桥梁结构模型进行了仿真计算，结果表明:提出的LQR半主动控制策略是有效的。

Semi-active control strategy for multi-dimensional Benchmark of bridge structure

As the lifeline engineering, the structural vibration of bridges has caused amounts of attentions along with the wide constructions of large-span bridges. The control of structural vibration has become a new approach to decrease the structural response effectively. Semi-active control has become a research focus because the optimal control force can be traced by minor energy adjustment. It is necessary to calculate the complex Riccati equation by traditional algorithm for optimal control (LQR), with the drawback of long calculation time online. Based on the simulation theory of optimal control and computational structural mechanics, the concept of interval mixed energy is introduced to calculate the Riccati equation by transforming to interval matrix. The vibration of bridge is controlled by setting MR dampers on the level of two-way. Besides, the translation component and rotational component in three directions are considered. LQR Semi-active control strategy is proposed based on Hamiltonian system. Then the benchmark model of bridge structure is calculated, and the feasibility of the proposed control strategy is verified.