改进遗传算法的结构调谐质量阻尼器风振控制的优化设计

OPTIMAL DESIGN OF WIND-INDUCED VIBRATION STRUCTRURE WITH TMD DEVICES BASED ON IMPROVED GENETIC ALGORITHM

为获得带调谐质量阻尼器(TMD)的建筑结构在随机风荷载作用下基于舒适度及动力可靠度的TMD装置的最优参数,在获得与舒适度相关的结构一阶模态加速度风振响应的解析解的基础上,根据随机过程极值理论,获得受控结构平均最大风振位移的解析解;然后,定义结构在设置TMD和不设置TMD的平均最大风振位移之比作为减振效果指标,并以之为优化目标,以舒适度、动力可靠度不超越其限值为约束条件;最后,运用改进遗传算法得到TMD装置的优化设计参数,从而建立了带TMD结构基于舒适度及动力可靠度约束优化设计的一般方法。研究表明,该方法能有效地获得TMD装置的最优参数。

In order to obtain the optimal parameters of TMD devices for a building structure subjected to TMD random wind loads and based on comfort and power reliability,the analytical solution for the acceleration of wind-induced response associated with the comfort of the structure of the first-order mode was got.Then,according to extreme value theory of random process,the average maximum wind-induced displacement of the structure was got.And the ratio of the standard deviation of the first-order modal displacement of the structure with TMD dampers to that without TMD dampers was defined as the index of damping effect and it was used as the optimal objective,which had degrees of comfort and dynamic reliability for the restrictive conditions.Finally,the optimal parameters of TMD dampers are got by the improved genetic algorithm.Therefore,a series of methods for the optimum design of TMD dampers structure based on the constraint of comfort and dynamic reliability were established.Studies show that the method can effectively obtain the optimum parameters of TMD devices.