地铁引发地面振动分析中阻尼矩阵构成模式的探讨  

Discussion on Damping Models for Dynamic Analysis of Subway-Induced Vibration

作　　者：单涛涛[1] 楼梦麟[1] 陆秀丽[2] 

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092 [2]同济大学建筑设计研究院(集团)有限公司,上海200092

出　　处：《力学季刊》2013年第2期207-212,共6页Chinese Quarterly of Mechanics

基　　金：973计划(2011CB013800);上海市科委科研计划项目(10dz0581800)

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 u- sing hysteretic damping model in frequency domain. The differences between the effects of the two damp- ing models were pointed out. Further discussions were made about the applicability and validity of differ- ent 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 fre- quencies to determine the Rayleigh damping matrix. Compared with the Rayleigh damping model, the ap- plication of Cauchy damping model can achieve better calculation accuracy but lower efficiency.

关 键 词：地铁振动 柯西阻尼 瑞利阻尼 滞后阻尼 

分 类 号：U231[交通运输工程—道路与铁道工程]