水平双向地震激励下基于序列最优控制算法曲线梁桥控制分析

Curved girder bridges' control based on sequential optimal control algorithm under two-directional horizontal earthquake

针对曲线梁桥在地震作用下出现的平扭耦合作用对结构产生的不利影响,将隔震技术与附加减震装置相结合对平扭耦合进行控制。建立考虑上部结构偏心的曲线梁桥在双向水平地震作用下的振动控制方程,分别采用序列最优控制算法(Sequential Optimal Control,SOC)及经典线性最优控制(Classical linear Optimal Control,COC)对结构进行分析,求解曲线桥两种控制算法的地震响应,并通过比较研究两种控制算法的适用性。结果表明,序列最优控制算法较经典线性最优控制能更有效减小曲线梁桥在水平双向地震作用下的地震反应、抑制结构扭转耦合效应,对减少落梁震害、确保曲线桥抗震安全有较好的工程实用价值。

Translation-torsion coupling action of curved girder bridges causes adverse effects on structures under earthquake action. Here, the seismic isolation technique and additional damping device were combined to control the translation-torsion coupling of curved girder bridges. The equations of motion for curved girder bridges considering their upper structure＇s eccentricity under two-directional horizontal earthquake were established, the sequential optimal control （SOC） and classical linear optimal control （COC） were used to solve the seismic responses of curved girder bridges. The results indicated that the SOC method can more effectively reduce the seismic responses of curved beam bridges under two- directional earthquake and were valuable for reducing suppress the translation -torsion coupling effects than the COC method can. The study results seiamic damage of falling girders and ensuring aseismic safety of curved girder bridges.