安装智能摩擦阻尼器的高层建筑结构振动控制一般算法

Algorithm for vibration control of tall building with smart friction damper

基于二次型控制目标函数的最优控制理论,从目标函数的泛函变分出发,用序列最优算法对目标函数进行求解,得到摩擦阻尼器最优正压力系数表达式,依此可以计算出比较精确的正压力数值解,并根据智能摩擦阻尼器的出力饱和与防止阻尼器锁死两种情况对正压力进行修正.算例表明这一算法对摩擦阻尼器的控制是有效的,可以发挥摩擦阻尼器的摩擦耗能功能,结构的层间位移和层间相对速度的峰值比未安装阻尼器时的地震响应峰值均得到明显降低.

Based on optimal control theory with linear quadratic object function,a sequential optimal control (SOC) algorithm was developed using functional variation.The control gain matrix of optimal normal pressure on the damper was obtained by solving the object function with SOC.A more accurate numerical solution of the normal pressure was derived in form of pressure coefficients.The normal pressure can be adjusted to counter for the saturation of friction force and the lockup of the damper.Numerical simulation showed that the proposed algorithm is effective to achieve good performance for energy dissipation in the friction damper,and the peak response of inter-story drift and relative velocity are reduced evidently than those without damper.