确定斜拉索减振阻尼器优化参数的一种方法

AN APPROACH OF DETERMINING OPTIMAL DAMPING CONSTANT OF DAMPER ON STAY CABLES

斜拉桥拉索的大幅振动越来越引起人们的关注 ,目前减振的主要手段是安装阻尼器。本文推导了考虑拉索垂度、弯曲刚度的拉索 -阻尼器系统运动方程 ,根据最优控制原理得到最优控制反映 ,提出了一种在具有控制结构约束下求解准最优控制力 ,进而求得优化阻尼系数的方法 ,并结合实桥拉索进行了仿真计算 ,所得结果表明该方法是有效可行的。所提方法对斜拉减振阻尼器参数优化设计具有一定的指导意义。

The large amplitude vibration of stay cables is being taken more and more attention in the recent decade,and viscous dampers as a main mean of mitigating vibration of stay cables have been used widely.In the paper,motion equation of cable_damper system which counts in effects of sag and bending stiffness is derived by use of Himilton principle with modal coordinates,then an approach of determining optimal damping constant of damper on stay cables is proposed.The approach consists of three steps.First the optimal control force is acquired with LQR,and then matrix G is defined considering difference between the optimal control force and quasi_optimal control force under control constraints,and finally optimal damping constant of damper is obtained by minimizing norm of matrix G.The approach also is demonstrated with an example.Results show that it is effective and feasible and will supply a good guide to determine the optimal damping constant of damper.