地铁引发地面振动分析中阻尼矩阵构成模式的探讨
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摘要
以某地铁区间线路为例,建立二维有限元分析模型,通过数值计算,分析了瑞利阻尼和柯西阻尼两种阻尼矩阵构成模式对地铁引发地面振动响应计算结果的影响,并与采用滞后阻尼假定的频域解进行了比较,讨论并提出了不同阻尼矩阵构成模式在地铁引发地面振动分析中的适用范围及有效性。数值结果表明:在地铁振动分析中,应选择结构基频和荷载卓越频率作为控制频率来确定阻尼瑞利矩阵。与瑞利阻尼模型相比,应用柯西阻尼模型能达到较好的计算精度,但会增大动力分析的计算量。
The dynamic response history of a 2D model under the excitation of subway was analyzed.The computation results using Rayleigh and Caughey damping models were compared with the exact solution using hysteretic damping model in frequency domain.The differences between the effects of the two damping models were pointed out.Further discussions were made about the applicability and validity of different damping models in the analysis of subway-induced ground vibration.The numerical results show that the fundamental frequency of the structure and the loading frequency should be choosen as the control frequencies to determine the Rayleigh damping matrix.Compared with the Rayleigh damping model,the application of Cauchy damping model can achieve better calculation accuracy but lower efficiency.
The dynamic response history of a 2D model under the excitation of subway was analyzed.The computation results using Rayleigh and Caughey damping models were compared with the exact solution using hysteretic damping model in frequency domain.The differences between the effects of the two damping models were pointed out.Further discussions were made about the applicability and validity of different damping models in the analysis of subway-induced ground vibration.The numerical results show that the fundamental frequency of the structure and the loading frequency should be choosen as the control frequencies to determine the Rayleigh damping matrix.Compared with the Rayleigh damping model,the application of Cauchy damping model can achieve better calculation accuracy but lower efficiency.
引文
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[2]楼梦麟,殷琳.关于高土坝地震反应分析中阻尼模型的讨论[J].水力发电学报,2009,28(5):103-107.
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[5]CLOUGH R W,PENSIEN J.Dynamics of Structures[M].New York:Macraw-Hill,1993.
[6]CAUGHEY T K,OKELLY E J.Effect of damping on the natural frequencies of linear dynamic systems[J].Journal of The Acous-tical society of America,1961,33(11):1458-1461.
[7]贾颖绚.基于解析的车轮耦合模型及地铁对环境的振动影响研究[D].北京:北京交通大学,2009.
[8]王田友,丁洁民,楼梦麟.地铁运行引起场地振动的荷载与分析方法[J].工程力学,2010,27(1):195-201.
[2]楼梦麟,殷琳.关于高土坝地震反应分析中阻尼模型的讨论[J].水力发电学报,2009,28(5):103-107.
[3]闫维明,聂晗,任岷,等.地铁交通引起地面振动的实测与分析[J].铁道科学与工程学报,2006,3(2):1-5.
[4]楼梦麟,贾旭鹏,俞洁勤.地铁运行引起的地面振动实测及传播规律分析[J].防灾减灾工程学报,2009,29(3):282-288.
[5]CLOUGH R W,PENSIEN J.Dynamics of Structures[M].New York:Macraw-Hill,1993.
[6]CAUGHEY T K,OKELLY E J.Effect of damping on the natural frequencies of linear dynamic systems[J].Journal of The Acous-tical society of America,1961,33(11):1458-1461.
[7]贾颖绚.基于解析的车轮耦合模型及地铁对环境的振动影响研究[D].北京:北京交通大学,2009.
[8]王田友,丁洁民,楼梦麟.地铁运行引起场地振动的荷载与分析方法[J].工程力学,2010,27(1):195-201.
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