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建立了桥梁震浪响应的磁流变液阻尼器(MRD)控制方程,首先将MRD在下一时刻的出力预测值作为半主动控制系统的限界约束,并构造适合MRD的剪切型最优(CO)半主动控制目标函数;然后基于精细积分法把MRD半主动控制策略等效为一列在附加限界约束内使目标函数取最小值的方程组;最后利用可靠区理论求解方程组得到MRD的半主动控制力.以一座三跨跨海公路连续梁桥为工程背景,分别对其在未控制、TRIO半主动控制、CO半主动控制和线性二次型最优(LQR)主动控制下的各评价指标进行了数值计算.结果表明:提出的TRIO半主动控制策略在降低桥梁震浪响应方面比传统的CO半主动控制的效果显著;TRIO半主动控制的MRD控制力峰值逼近LQR主动控制的,对外界能源的利用率比LQR策略的要高得多.
The governing equations of the MRD for the seismic response of the bridge are established. First, the predicted MRD output of the MRD is used as the constraint of the semi-active control system and the optimal shear mode for the MRD Then the MRD semi-active control strategy is equivalent to a set of equations which make the objective function take the minimum value within the additional bounding constraints based on the precise integration method. Finally, the semi-active MRD is obtained by solving the equations using the reliable zone theory Control force of a three-span highway continuous highway girder bridge is taken as the engineering background, and each evaluation index under uncontrolled, TRIO semi-active control, CO semi-active control and LQR active control The results show that the proposed TRIO semi-active control strategy is more effective than the traditional semi-active CO control in reducing the seismic response of the bridge. The MRD control force of the TRIO semi-active control approach the LQR active control, Energy utilization is much higher than the LQR strategy.