带TMD结构的随机地震响应分析的新方法
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摘要
基于状态空间表达的TMD-结构动力微分方程,运用虚拟激励法,引入精细积分法进行计算,提出求解带TMD结构的非平稳随机地震响应计算的新方法.该方法避免了复模态法的复杂性,能精确快速求解带TMD结构的平稳和非平稳随机地震响应.采用结构的最大弹性层间位移角限值作为控制指标建立极限状态方程,基于首次超越破坏理论,进行了无控和TMD控制下结构的可靠度对比分析,建立起结构动力可靠度作为评价控制效果的性能指标.以1栋8层的剪切型钢框架结构作为算例,结果证实本方法的正确性.
Based on the state-space expression of the dynamic differential equation of the TMD-structure,a new method for the random earthquake response analysis of the TMD-structure is proposed using the pseudo-excitation method and the precise integration method.This method can both get over the complicacies of the complex mode method and the insufficient accuracy of the mode-superposition response spectrum method,which is a fast and accurate method in calculating the random seismic response of the TMD-structure system with stationary and non-stationary excitations.Then,based on the first-passage failure theory,the comparision analysis is made between the structure with/w.o TMD control using the reliability index with the boundary of the maximum story drift angle.The dynamic reliability is taken as the index of performance to evaluate the control effectiveness.An 8-story shear-shaped steel frame structure has been employed herein as a numerical example,the results confirm that the proposed method has validity and efficiency.
Based on the state-space expression of the dynamic differential equation of the TMD-structure,a new method for the random earthquake response analysis of the TMD-structure is proposed using the pseudo-excitation method and the precise integration method.This method can both get over the complicacies of the complex mode method and the insufficient accuracy of the mode-superposition response spectrum method,which is a fast and accurate method in calculating the random seismic response of the TMD-structure system with stationary and non-stationary excitations.Then,based on the first-passage failure theory,the comparision analysis is made between the structure with/w.o TMD control using the reliability index with the boundary of the maximum story drift angle.The dynamic reliability is taken as the index of performance to evaluate the control effectiveness.An 8-story shear-shaped steel frame structure has been employed herein as a numerical example,the results confirm that the proposed method has validity and efficiency.
引文
[1]Rohman A.Opatimal control of tall buildings by ap-pendages[J].Struct Engrg ASCE,1984,10(5):937-947.
[2]周福霖.工程结构减震控制[M].北京:地震出版社,1997.Zhou Fulin.Seismic control of structures[M].Beijing:Seismological Press,1997.(in Chinese)
[3]李春祥,黄金技,金兢.高层钢结构抗风抗震控制若干问题探讨[J].振动与冲击,2000,19(2):54-58.Li Chunxiang,Huang Jinzhi,Jin Jing.Discussions onseveral problems of wind and earthquake resistant con-trol of tall steel structure[J].Journal of Vibration andShock,2000,19(2):54-58.(in Chinese)
[4]李创第,邹万杰,李暾,等.结构随机地震响应分析的复模态法[J].地震工程与工程振动,2003,23(6):44-49.Li Chuangdi,Zou Wanjie,Li Tun,et al.Complex modemethod for random earthquake response analysis ofstructures[J].Earthquake Engineering and StructuralDynamics,2003,23(6):44 49.(in Chinese)
[5]李创第,黄天立,李暾,等.带TMD结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36-39.Li Chuangdi,Huang Tianli,Li Tun,et al.The com-plex modal methods for analysis of random earthquakeresponse of structures with TMD[J].Journal of Vibra-tion and Shock,2003,22(1):36-39.(in Chinese)
[6]杜永峰,李慧,金德保,等.大震下被动与智能隔震结构动力可靠度的对比[J].地震工程与工程振动,2006,26(4):212-219.Du Yongfeng,Li Hui,Jin Debao,et al.Comparison ofseismic reliability of passive and smart isolated struc-tures under major earthquakes[J].Earthquake Engi-neering and Structural Dynamics,2006,26(4):212219.(in Chinese)
[7]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1985,5(1):89-93.Lin Jiahao.Determinately arithmetic of stochastic seis-mic response[J].Journal of Earthquake Engineering andEngineering Vibration,1985,5(1):89-93.(in Chi-nese)
[8]Lin J H.A fast CQC algorithm of PSD matrices for ran-dom seismic responses[J].Computers&Structures,1992,44(3):683-687.
[9]钟万勰.结构动力方程的精细时程积分[J].大连理工大学学报,1994,34(2):131-136.Zhong Wanxie.A precise time integration for structuraldynamic equations[J].Journal of Dalian University ofTechnology,1994,34(2):131-136.(in Chinese)
[10]Lin Jiahao,Zhang Wenshou,Li Jianjun.Structural re-sponse to arbitrarily coherent stationary random excita-tions[J].Computers&Structures,1994,50(5):629-634.
[11]钟万勰.暂态历程的精细计算方法[J].计算结构力学及其应用,1995,12(1):1-6.Zhong Wanxie.Precise computation for transient anal-ysis[J].J Computational Structural Mech and Appl,1995,12(1):1-6.(in Chinese)
[12]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[M]∥中国科学院土木建筑研究所.地震工程研究报告集(第1集).北京:科学出版社,1962.Hu Yuxian,Zhou Xiyuan.The response of elastic sys-tem in the steady and smooth movement of the groundreaction[M]∥The Chinese Academy of Sciences Archi-tecture Civil Engineering.Earthquake Engineering Re-search Institute Report Sets(the first episode).Bei-jing:Science Press,1962.(in Chinese)
[2]周福霖.工程结构减震控制[M].北京:地震出版社,1997.Zhou Fulin.Seismic control of structures[M].Beijing:Seismological Press,1997.(in Chinese)
[3]李春祥,黄金技,金兢.高层钢结构抗风抗震控制若干问题探讨[J].振动与冲击,2000,19(2):54-58.Li Chunxiang,Huang Jinzhi,Jin Jing.Discussions onseveral problems of wind and earthquake resistant con-trol of tall steel structure[J].Journal of Vibration andShock,2000,19(2):54-58.(in Chinese)
[4]李创第,邹万杰,李暾,等.结构随机地震响应分析的复模态法[J].地震工程与工程振动,2003,23(6):44-49.Li Chuangdi,Zou Wanjie,Li Tun,et al.Complex modemethod for random earthquake response analysis ofstructures[J].Earthquake Engineering and StructuralDynamics,2003,23(6):44 49.(in Chinese)
[5]李创第,黄天立,李暾,等.带TMD结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36-39.Li Chuangdi,Huang Tianli,Li Tun,et al.The com-plex modal methods for analysis of random earthquakeresponse of structures with TMD[J].Journal of Vibra-tion and Shock,2003,22(1):36-39.(in Chinese)
[6]杜永峰,李慧,金德保,等.大震下被动与智能隔震结构动力可靠度的对比[J].地震工程与工程振动,2006,26(4):212-219.Du Yongfeng,Li Hui,Jin Debao,et al.Comparison ofseismic reliability of passive and smart isolated struc-tures under major earthquakes[J].Earthquake Engi-neering and Structural Dynamics,2006,26(4):212219.(in Chinese)
[7]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1985,5(1):89-93.Lin Jiahao.Determinately arithmetic of stochastic seis-mic response[J].Journal of Earthquake Engineering andEngineering Vibration,1985,5(1):89-93.(in Chi-nese)
[8]Lin J H.A fast CQC algorithm of PSD matrices for ran-dom seismic responses[J].Computers&Structures,1992,44(3):683-687.
[9]钟万勰.结构动力方程的精细时程积分[J].大连理工大学学报,1994,34(2):131-136.Zhong Wanxie.A precise time integration for structuraldynamic equations[J].Journal of Dalian University ofTechnology,1994,34(2):131-136.(in Chinese)
[10]Lin Jiahao,Zhang Wenshou,Li Jianjun.Structural re-sponse to arbitrarily coherent stationary random excita-tions[J].Computers&Structures,1994,50(5):629-634.
[11]钟万勰.暂态历程的精细计算方法[J].计算结构力学及其应用,1995,12(1):1-6.Zhong Wanxie.Precise computation for transient anal-ysis[J].J Computational Structural Mech and Appl,1995,12(1):1-6.(in Chinese)
[12]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[M]∥中国科学院土木建筑研究所.地震工程研究报告集(第1集).北京:科学出版社,1962.Hu Yuxian,Zhou Xiyuan.The response of elastic sys-tem in the steady and smooth movement of the groundreaction[M]∥The Chinese Academy of Sciences Archi-tecture Civil Engineering.Earthquake Engineering Re-search Institute Report Sets(the first episode).Bei-jing:Science Press,1962.(in Chinese)
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