带TMD高层结构抗风优化设计
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摘要
对于带TMD控制装置的高层结构风振响应问题,由于风荷载和结构响应具有随机性,运用基于动力可靠性约束的优化方法对TMD装置的系统参数进行优化设计是十分必要的和合理的。在运用复模态法和扩阶法得到结构和控制装置随机风振响应的基础上,以TMD装置响应的动力可靠性作为约束条件,以主体结构广义位移的最大响应均值最小为目标函数,运用罚函数法对TMD装置的系统参数进行优化取值,建立了带TMD高层结构基于动力可靠性约束的抗风优化设计的方法。
The optimum design method based on dynamic reliability constraint is necessary and reasonable for the optimal parameters of TMD equipment because of the randomness to wind and responses of the structures with TMD.Under the constraint of dynamic reliability of the response of the TMD equipment,and taking the max mean response of broad sense displacement of the main structure as the objective function,the optimal design parameters of TMD equipment are obtained by the penalty function method in the basis of that the exact solutions of random wind-induced response of the structure with TMD are obtained by using complex mode method and expanding rank method.Therefore,the optimal design method for the random wind-induced response of high-rise structure with TMD based on the constraint of dynamic reliability is established.The method proposed in the paper can be used in the optimization design of base-isolation structure,shock absorption structure with TMD and random wind-induced response and random earthquake response of structure with TLD.
The optimum design method based on dynamic reliability constraint is necessary and reasonable for the optimal parameters of TMD equipment because of the randomness to wind and responses of the structures with TMD.Under the constraint of dynamic reliability of the response of the TMD equipment,and taking the max mean response of broad sense displacement of the main structure as the objective function,the optimal design parameters of TMD equipment are obtained by the penalty function method in the basis of that the exact solutions of random wind-induced response of the structure with TMD are obtained by using complex mode method and expanding rank method.Therefore,the optimal design method for the random wind-induced response of high-rise structure with TMD based on the constraint of dynamic reliability is established.The method proposed in the paper can be used in the optimization design of base-isolation structure,shock absorption structure with TMD and random wind-induced response and random earthquake response of structure with TLD.
引文
[1]李创第,管昌生,黄任常.高层建筑和高耸结构抗风设计评述[J].广西大学学报:自然科学版,1996,2l(4):312-317.
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[4]刘颖,杨绿峰,莫远昌.基于随机响应面法的结构可靠度研究[J].广西大学学报:自然科学版,2008,33(4):366-369.
[5]FRANGOPOL D M.基于可靠性的结构优化概念和方法[J].力学进展,1988,18(4):541-549.
[6]陈建军,车建文,崔明涛.结构动力优化设计述评与展望[J].力学进展,2001,31(2):181-192.
[7]李桂青.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.
[8]杨庆山,沈世钊.悬索结构随机风振反应分析[J].建筑结构学报,1998(4):29-39.
[9]李暾,李创第,章本照.带TLD结构随机风振响应的解析解[J].哈尔滨工业大学学报,2003,35(4):437-440.
[10]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.
[11]CARTWRIGHTD E.On estimating the mean energy of sea waves from the highest waves in a record[J].Proceedings ofthe Royal Society Series,1958,247:22-48.
[12]DAVENPORTA G.Note on the distribution of the largest value of a random function with application to gust loading[J].Proceeding of the Civil Engineers,1964,28:187-196.
[13]刘惟信.机械最优化设计[M].第2版.北京:清华大学出版社,1994.
[14]EMIL S,ROBERTHS.风对结构的作用———风工程导论[M].第2版.上海:同济大学出版社,1992.
[2]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(6):61-75.
[3]周锡元,阎维明,杨润林.建筑结构的隔震、减振和振动控制[J].建筑结构学报,2002,23(2):2-12.
[4]刘颖,杨绿峰,莫远昌.基于随机响应面法的结构可靠度研究[J].广西大学学报:自然科学版,2008,33(4):366-369.
[5]FRANGOPOL D M.基于可靠性的结构优化概念和方法[J].力学进展,1988,18(4):541-549.
[6]陈建军,车建文,崔明涛.结构动力优化设计述评与展望[J].力学进展,2001,31(2):181-192.
[7]李桂青.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.
[8]杨庆山,沈世钊.悬索结构随机风振反应分析[J].建筑结构学报,1998(4):29-39.
[9]李暾,李创第,章本照.带TLD结构随机风振响应的解析解[J].哈尔滨工业大学学报,2003,35(4):437-440.
[10]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.
[11]CARTWRIGHTD E.On estimating the mean energy of sea waves from the highest waves in a record[J].Proceedings ofthe Royal Society Series,1958,247:22-48.
[12]DAVENPORTA G.Note on the distribution of the largest value of a random function with application to gust loading[J].Proceeding of the Civil Engineers,1964,28:187-196.
[13]刘惟信.机械最优化设计[M].第2版.北京:清华大学出版社,1994.
[14]EMIL S,ROBERTHS.风对结构的作用———风工程导论[M].第2版.上海:同济大学出版社,1992.
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