可变阻尼结构的非线性半主动控制算法

摘要

对于安装连续可调粘滞阻尼器的工程结构，直接以可变阻尼为控制量，则受控结构可由一双线性系统来表示，基于线性二次型(LQR)最优控制，该文提出了一种非线性半主动控制算法，该算法需要求解 Lyapunov 矩阵方程。以3层剪切型受控结构为例，探讨在不同的可变阻尼器最大粘滞阻尼系数与支撑刚度组合下，控制算法对结构地震响应的减震效果，并与控制器阻尼系数始终取为最大值的被动控制效果作了对比。%Viscous damping coefficient taken as controlled variable,controlled structures with successively adj usta-ble viscous dampers can be represented as a bilinear system.Based on the linear quadratic regular (LQR)optimal con-trol rule,which requires solving algebraic riccati equation,a semi-active control rule is presented.The dynamic re-sponse of a three-storey shear type structure with variable damping device under seismic excited is analyzed,and the validity of the proposed control algorithms is verified under some different combination between bracing stiffness and the maximum damping coefficient of variable damper devices.Besides,the vibration reduction effects achieved by the proposed semi-active control rule and by the passive-on rule are compared.