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
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摘要
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.
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.
引文
[1]黄瑞新,李爱群,张志强,等.北京奥林匹克中心演播塔TMD风振控制[J].东南大学学报:自然科学版,2009,39(3):519-524.
[2]谭平,卜国雄,周福霖.带限位TMD的抗风动力可靠度研究[J].振动与冲击,2009,28(6):42-45.
[3]欧进萍,王永富.设置TMD、TLD控制系统的高层建筑风振分析与设计方法[J].地震工程与工程振动,1994,14(2):61-75.
[4]李创第,黄天立,李暾,等.带TMD的结构基于动力可靠性约束的优化设计[J].地震工程与工程振动,2004,24(6):121-125.
[5]李春祥,熊学玉.高层钢结构TMDs风振舒适度控制最优参数与简化设计[J].振动与冲击,2002,21(2):86-90.
[6]Tan Dongyao.Discrete Analysis Method for Structural CorrelationResponse[J].Computer&Structures,1996,58(1):143-153.
[7]瞿伟廉,陶牟华,Chang C C.五种被动动力减振器对高层建筑脉动风振反应控制的实用设计方法[J].建筑结构学报,2001,22(2):29-34.
[8]李创第,黄天立,葛新广.隔振结构基于动力可靠性约束的优化设计[J].哈尔滨工业大学学报,2009,41(8):169-171.
[9]唐天兵,谢祥宏,申文杰,等.多核CPU环境下的并行遗传算法的研究[J].广西大学学报,2009,34(4):546-550.
[10]吴恒,李陶深,韦日钰,等.遗传算法在深基坑支护工程优化设计中的应用[J].广西大学学报,2000,25(1):1-4.
[11]李创第,李暾.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1-4.
[12]李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(1)[J].工业建筑,1999,29(5):40-45.
[13]李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2)[J].工业建筑,1999,29(6):17-19.
[14]Davenport A G.Note on the Distribution of the Largest Value of aRandom Function with Application to Gust Loading[C]∥Proceeding of the Civil Engineerings.1964,28:187-196.
[2]谭平,卜国雄,周福霖.带限位TMD的抗风动力可靠度研究[J].振动与冲击,2009,28(6):42-45.
[3]欧进萍,王永富.设置TMD、TLD控制系统的高层建筑风振分析与设计方法[J].地震工程与工程振动,1994,14(2):61-75.
[4]李创第,黄天立,李暾,等.带TMD的结构基于动力可靠性约束的优化设计[J].地震工程与工程振动,2004,24(6):121-125.
[5]李春祥,熊学玉.高层钢结构TMDs风振舒适度控制最优参数与简化设计[J].振动与冲击,2002,21(2):86-90.
[6]Tan Dongyao.Discrete Analysis Method for Structural CorrelationResponse[J].Computer&Structures,1996,58(1):143-153.
[7]瞿伟廉,陶牟华,Chang C C.五种被动动力减振器对高层建筑脉动风振反应控制的实用设计方法[J].建筑结构学报,2001,22(2):29-34.
[8]李创第,黄天立,葛新广.隔振结构基于动力可靠性约束的优化设计[J].哈尔滨工业大学学报,2009,41(8):169-171.
[9]唐天兵,谢祥宏,申文杰,等.多核CPU环境下的并行遗传算法的研究[J].广西大学学报,2009,34(4):546-550.
[10]吴恒,李陶深,韦日钰,等.遗传算法在深基坑支护工程优化设计中的应用[J].广西大学学报,2000,25(1):1-4.
[11]李创第,李暾.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1-4.
[12]李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(1)[J].工业建筑,1999,29(5):40-45.
[13]李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2)[J].工业建筑,1999,29(6):17-19.
[14]Davenport A G.Note on the Distribution of the Largest Value of aRandom Function with Application to Gust Loading[C]∥Proceeding of the Civil Engineerings.1964,28:187-196.
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