基于遗传算法的摩擦摆TMD系统参数优化分析

Parameter Optimization Analysis on Friction Pendulum TMD System by Self-adaptive Genetic Algorithm

为使高层建筑顶部设置双向摩擦摆(FPS-TMD)系统的风振控制效果达到最优,本文采用自适应基因遗传算法,对此类被动控制系统的滑道摩擦系数和两个方向滑道半径的优化设计进行相关研究。并以广州新电视塔为实例,以顶部有无设置FPS-TMD系统的主体结构顶部风致位移或风致加速度均方根之比最小为风振控制优化设计的目标函数,采用自适应基因遗传算法,利用精英保存策略、自适应交叉和变异算子,以及自适应罚函数处理主体结构的风致层间位移约束、顶层风致位移和顶层风致加速度响应约束条件。优化分析结果表明,采用本文的自适应基因遗传算法,可以有效地对顶部带双向摩擦摆TMD系统的高层建筑,进行风振控制条件下的系统参数优化分析。

In order to improve the wind vibration control efficiency of high-rise structures with atop bidirectional friction pendulum TMD system,the modified self-adaptive genetic algorithm is adopted in this paper to conduct parameter optimization analysis of the friction coefficient and the slide radius in two directions of FPS-TMD system. Taking Canton Tower as a numerical example,numerical wind-induced response analysis was conducted for the two cases which are equipped with FPS-TMD system and without FPS-TMD system. The optimization objective function is taken as the root mean square ratio between the two cases for the wind-induced resultant displacement and acceleration response atop this super high-rise structure. The elite preservation strategy,self-adaptive crossover and mutation operator algorithm are adopted,and self-adaptive penalty function are utilized to deal with the constraint conditions in wind-induced inter-storey drift,wind-induced displacement and acceleration atop of the optimized high-rise structure with FPS-TMD control system. Optimized results show that the modified self-adaptive genetic algorithm can be used for the parameter optimization analysis on the wind-induced control of high-rise structure with bi-directional friction pendulum TMD system effectively.