基于能量原理的TMD系统减震性能分析
|
摘要
根据能量平衡原理,建立了结构-TMD体系的累积能量响应和瞬时能量响应方程。综合考虑结构周期与阻尼比的影响,采用时程分析法研究了TMD系统在地震激励下主结构各能量响应的分布变化规律。研究了随机激励下,采用虚拟激励法从能量角度分析主结构能量响应最小时TMD质量比、频率比及阻尼比的最优值。数值仿真分析结果表明,TMD系统对于中长周期结构有较好的能量控制效果;当结构阻尼比较大时,TMD的控制效果下降;此外,随机激励下,以最小主结构累积输入能和瞬时输入能为优化目标所得到的TMD最优参数结果与传统以最小主结构位移响应峰值为优化目标的结果基本一致,从而验证了能量原理的适用性与可靠性。
The accumulated and instantaneous energy response equations of Structure-TMD system based on energy balance principle are established.Considering natural period and damping ratio of the controlled structure,the energy variation of the main structure is investigated by time history analysis method.The frequency ratio,mass ratio and damping ratio of TMD are optimized for energy responses of the main structure based on the random earthquake ground motion model,in which pseudo excitation method is employed for optimization procedure of TMD parameters.Numerical simulation results indicate that TMD achieves better performance for structure of middle-long period.The damping level of the main structure can lower the control effectiveness of TMD.The optimal parameters of TMD obtained from the accumulated and instantaneous energy theory are in good agreement with those from the traditionary optimization objective function such as the peak displacement of the structure,which proves the applicability and reliability of the energy theory.
The accumulated and instantaneous energy response equations of Structure-TMD system based on energy balance principle are established.Considering natural period and damping ratio of the controlled structure,the energy variation of the main structure is investigated by time history analysis method.The frequency ratio,mass ratio and damping ratio of TMD are optimized for energy responses of the main structure based on the random earthquake ground motion model,in which pseudo excitation method is employed for optimization procedure of TMD parameters.Numerical simulation results indicate that TMD achieves better performance for structure of middle-long period.The damping level of the main structure can lower the control effectiveness of TMD.The optimal parameters of TMD obtained from the accumulated and instantaneous energy theory are in good agreement with those from the traditionary optimization objective function such as the peak displacement of the structure,which proves the applicability and reliability of the energy theory.
引文
[1]周福霖.工程结构减震控制[M].北京:地震出版社,1997.
[2]Housner G W.Limit design of structures to resist earthquake[C]//Proc.1st World Conf.Earthquake Engineering,1956.
[3]肖明葵,刘波,白绍良.抗震结构总输入能量及其影响因素分析[J].重庆建筑大学学报,1996,18(2):20-33.
[4]胡冗冗,王亚勇.地震动瞬时能量与结构位移最大反应关系研究[J].建筑结构学报,2000,21(1):71-75.
[5]丁文镜.减震理论[M].北京:清华大学出版社,1988.
[6]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[C]//中国科学院土木建筑研究所地震工程研究报告集第一集,北京:科学出版社,1962.
[7]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[8]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[2]Housner G W.Limit design of structures to resist earthquake[C]//Proc.1st World Conf.Earthquake Engineering,1956.
[3]肖明葵,刘波,白绍良.抗震结构总输入能量及其影响因素分析[J].重庆建筑大学学报,1996,18(2):20-33.
[4]胡冗冗,王亚勇.地震动瞬时能量与结构位移最大反应关系研究[J].建筑结构学报,2000,21(1):71-75.
[5]丁文镜.减震理论[M].北京:清华大学出版社,1988.
[6]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[C]//中国科学院土木建筑研究所地震工程研究报告集第一集,北京:科学出版社,1962.
[7]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[8]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心