结构瞬时AMD最优控制减震效果计算研究

Research about Structural Vibration Mitigation Efficiency for Instantaneous AMD Controlling Systems

摘要: 为评价瞬时最优AMD控制减震效果，建立了一栋20层结构瞬时AMD最优主动控制的理论分析模型，并利用Matlab语言编制了求解软件。计算结果表明：瞬时主动AMD控制具有明显的减振效果。可以通过调整权重参数Q、R达到目标减振效果。顶层控制力最大，当Q = 1e8、R = 0.1时减振效果较好，顶层控制力幅值为楼面重力荷载7.9%。瞬时最优控制及LQR控制可达到同样效果，动力反应时程几乎相同。LQR控制效果不受采样步长影响，瞬时控制效果受采样步长影响。瞬时最优控制效果受外扰力滞后效应的影响，动力反应有所放大。

Abstract: To evaluate the damping effect of instantaneous optimal AMD control, a theoretical analysis model about instantaneous optimal active control of a 20-storey structure with AMD system was present-ed, and it was solved with software prepared with Matlab language. Results show that an instanta-neous control algorithm could exhibit more notable vibration mitigation efficiency. It is recognized that expecting vibration mitigation efficiency could be reached with an optimized combination of Q and R values, the weight ratios of state variables and controlling force vectors respectively. When Q = 1e8 and R = 0.1, the controlling force on top storey could reach 7.9% of storey gravity load. The same seismic mitigation efficiency and time history of dynamic response could be exhibited both from the two types of control algorithm. While the efficiency for LQR algorithm will not be affected by sample time step, the instantaneous optimizing algorithm will do. Moreover, effect from time delay of outer distribution will make dynamic responses amplified.