静应力场对隧道列车振动响应的影响分析
|
摘要
分析了静应力场对隧道及地下结构动力响应产生的影响。指出了静应力场的几种处理方法以及在隧道列车振动分析中宜采用的计算方法。以某一隧道为例,计算了其在列车动力荷载作用下的反应。计算表明:静应力场宜将高斯点应力和节点荷载同时输入。若仅输入高斯点应力或节点应力,而不输入节点荷载,以此为初始条件进行隧道列车荷载动力计算将产生错误的结果;为消除静力残余不平衡节点力在动力分析中影响,宜先不作用列车振动荷载,而是在静力残余不平衡节点力作用下进行动力分析,待体系逐步趋于静平衡状态后再施加动力荷载进行求解。
The influence of the initial static stresses on dynamic responses of tunnels and underground structures is studied.Some disposal methods of the initial static stresses are presented and a preferable method is recommended in the analysis of train vibration responses of tunnels.Dynamic responses of a tunnel due to the train vibration are calculated.Results indicate that the initial condition in dynamic analysis is not only the input Gauss point stresses but also the input nodal loadings,or mistakes will be aroused.In dynamic calculation of anterior time steps,the static residual forces should be only acted.When the system responses incline to static states,the vibration loading is input and the dynamic calculation of remaining time steps is continued.
The influence of the initial static stresses on dynamic responses of tunnels and underground structures is studied.Some disposal methods of the initial static stresses are presented and a preferable method is recommended in the analysis of train vibration responses of tunnels.Dynamic responses of a tunnel due to the train vibration are calculated.Results indicate that the initial condition in dynamic analysis is not only the input Gauss point stresses but also the input nodal loadings,or mistakes will be aroused.In dynamic calculation of anterior time steps,the static residual forces should be only acted.When the system responses incline to static states,the vibration loading is input and the dynamic calculation of remaining time steps is continued.
引文
[1]张晓敏,盛天文,张培源.初应力拱侧向振动的固有频率[J].工程力学,2004,21(4):178–182.(ZHANG Xiao-min,SHENG Tian-wen,ZHANG Pei-yuan.Natural frequencies of initially stressed arches in lateral vibration[J].Engineering Mechanics,2004,21(4):178–182.(in Chinese))
[2]沈之容,马星,颜明忠.多层纤绳桅杆结构的纤绳工作研究[J].特种结构,2002,19(3):51–53.(SHEN Zhi-rong,MA Xing,YAN Ming-zhong.Research on working status of multilayer cable guyed mast[J].Special Structures,2002,19(3):51–53.(in Chinese))
[3]尧国皇,曾萌.钢管初应力对钢管混凝土轴压力学性能影响的研究[J].黑龙江工程学院学报,2002,16(4):11–13.(RAO Guo-huang,ZENG Meng.Effects of pre-stress stell tubes on conerete-filled stress tubular subjected to compression[J].Journal of Heilongjiang Institute of Technology,2002,16(4):11–13.(in Chinese))
[4]潘昌实.隧道力学数值方法[M].北京:中国铁道出版社,1995.(PAN Chang-shi.Numeric method of tunnel mechanics[M].Beijing:China Railway Publishing House,1995.(in Chinese))
[5]OWEN D R J,HINTON E.Finite elements in plasticity,theory and practice[M].Swansea:Pineridge Pross Limited,1980.
[6]杜修力,涂劲.有缝拱坝—地基系统非线性地震波动反应分析方法[J].地震工程与工程振动,2000,20(1):11–20.(DU Xiu-li,TU Jin.Nonlinear seismic response analysis of arch dam—foundation systems with cracked surfaces[J].Earthquake Engineering and Engineering Vibration,2000,20(1):11–20.(in Chinese))
[7]廖振鹏.工程波动导引[M].北京:科学出版社,1996.(LIAO Zhen-peng.Guide for wave matter in engineering[M].Beijing:Science Press,1996.(in Chinese))
[8]刘晶波,李彬.三维黏弹性静–动力统一人工边界[J].中国科学(E辑),2005,35(9):966–980(LIU Jing-bo,LI Bin.A unified viscous-spring artificial boundary for 3-D static and dynamic applications[J].Science in China(Series E),2005,35(9):966–980.(in Chinese))
[9]吴鸿庆,任侠.结构有限元分析[M].北京:中国铁道出版社,2000.(WU Hong-qing,REN Xia.Finite element analysis of structure[M].Beijing:China Railway Publishing House,2000.(in Chinese))
[10]朱伯芳.有限单元法原理与应用[M].北京:水利水电出版社,1979.(ZHU Bo-fang.Theory of finite element method and its application[M].Beijing:Water Resources and Electric Power Press,1979.(in Chinese))
[11]李成辉.深圳地铁道床动载荷分析[J].西南交通大学学报,2001,36(2):360–362.(LI Cheng-hui.Analysis of dynamic loading on bed-road in Shenzhen subway[J].Journal of Southwest Jiaotong University,2001,36(2):360–362.(in Chinese))
[12]翟婉明.车辆–轨道耦合动力学[M].北京:中国铁道出版社,1997.(ZHAI Wan-ming.Coupling dynamics on vehicle-railway system[M].Beijing:China Railway Publishing House,1997.(in Chinese))
[13]钱七虎,黄小平,唐德高.冲击荷载作用下有限元方法求解波动过程的精度研究[J].爆炸与冲击,1995,15(1):1–9.(QIAN Qi-hu,HUANG Xiao-ping,TANG De-gao.A study of solution accuracy of FEM on wave propagation problems under shock loading[J].Explosion and Shock Waves,1995,15(1):1–9.(in Chinese))
[2]沈之容,马星,颜明忠.多层纤绳桅杆结构的纤绳工作研究[J].特种结构,2002,19(3):51–53.(SHEN Zhi-rong,MA Xing,YAN Ming-zhong.Research on working status of multilayer cable guyed mast[J].Special Structures,2002,19(3):51–53.(in Chinese))
[3]尧国皇,曾萌.钢管初应力对钢管混凝土轴压力学性能影响的研究[J].黑龙江工程学院学报,2002,16(4):11–13.(RAO Guo-huang,ZENG Meng.Effects of pre-stress stell tubes on conerete-filled stress tubular subjected to compression[J].Journal of Heilongjiang Institute of Technology,2002,16(4):11–13.(in Chinese))
[4]潘昌实.隧道力学数值方法[M].北京:中国铁道出版社,1995.(PAN Chang-shi.Numeric method of tunnel mechanics[M].Beijing:China Railway Publishing House,1995.(in Chinese))
[5]OWEN D R J,HINTON E.Finite elements in plasticity,theory and practice[M].Swansea:Pineridge Pross Limited,1980.
[6]杜修力,涂劲.有缝拱坝—地基系统非线性地震波动反应分析方法[J].地震工程与工程振动,2000,20(1):11–20.(DU Xiu-li,TU Jin.Nonlinear seismic response analysis of arch dam—foundation systems with cracked surfaces[J].Earthquake Engineering and Engineering Vibration,2000,20(1):11–20.(in Chinese))
[7]廖振鹏.工程波动导引[M].北京:科学出版社,1996.(LIAO Zhen-peng.Guide for wave matter in engineering[M].Beijing:Science Press,1996.(in Chinese))
[8]刘晶波,李彬.三维黏弹性静–动力统一人工边界[J].中国科学(E辑),2005,35(9):966–980(LIU Jing-bo,LI Bin.A unified viscous-spring artificial boundary for 3-D static and dynamic applications[J].Science in China(Series E),2005,35(9):966–980.(in Chinese))
[9]吴鸿庆,任侠.结构有限元分析[M].北京:中国铁道出版社,2000.(WU Hong-qing,REN Xia.Finite element analysis of structure[M].Beijing:China Railway Publishing House,2000.(in Chinese))
[10]朱伯芳.有限单元法原理与应用[M].北京:水利水电出版社,1979.(ZHU Bo-fang.Theory of finite element method and its application[M].Beijing:Water Resources and Electric Power Press,1979.(in Chinese))
[11]李成辉.深圳地铁道床动载荷分析[J].西南交通大学学报,2001,36(2):360–362.(LI Cheng-hui.Analysis of dynamic loading on bed-road in Shenzhen subway[J].Journal of Southwest Jiaotong University,2001,36(2):360–362.(in Chinese))
[12]翟婉明.车辆–轨道耦合动力学[M].北京:中国铁道出版社,1997.(ZHAI Wan-ming.Coupling dynamics on vehicle-railway system[M].Beijing:China Railway Publishing House,1997.(in Chinese))
[13]钱七虎,黄小平,唐德高.冲击荷载作用下有限元方法求解波动过程的精度研究[J].爆炸与冲击,1995,15(1):1–9.(QIAN Qi-hu,HUANG Xiao-ping,TANG De-gao.A study of solution accuracy of FEM on wave propagation problems under shock loading[J].Explosion and Shock Waves,1995,15(1):1–9.(in Chinese))
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