摘要
考虑到地铁隧道结构与其周围土层的相互作用,本文建立一种新的隧道结构振动特性的理论分析方法。首先,基于考虑横向剪切变形的中厚壳理论,建立了隧道结构的振动方程,其次,基于均匀、各向同性、线弹性介质的纳维波动理论,建立了隧道周围土体的运动方程,在此基础上,利用波传播方法,通过界面连续条件建立了基于土与结构动力相互作用的隧道结构振动控制方程,利用其频散特征方程对隧道结构的振动特性进行了分析,并与基于薄壳理论、有限元理论的相应结果进行了对比,验证了方程的有效性。
Considering the interaction between the subway tunnel structure and the surrounding soil,we establish a new theoretical analysis method for vibration characteristics of the tunnel structure.Firstly,on the basis of the moderately thick cylindrical shell theory to consider the transverse shear deformation,the vibration equation of tunnel structure is formulated.Secondly,the motion equation of the soil around the tunnel is also set up by using Navier＇s wave theory for homogeneous,isotropic,linear elastic media.Based on these,by using the wave propagation approach,the vibration control equation of the tunnel structure considering soil-structure dynamic interaction is finally established by means of the interface continuous conditions,and then,analysis of the vibration characteristic of the tunnel structure is carried out by taking advantage of its dispersion characteristic equation,which validates the effectiveness of the equation gotten above and makes comparison with the corresponding results obtained by the thin shell theory and the finite element method.
出处
《地震工程与工程振动》
CSCD
北大核心
2010年第5期142-149,共8页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金项目(59978038)
陕西省重点实验室基金项目(05JS19)
关键词
隧道结构
土
相互作用
波传播方法
振动特性
tunnel structure
soil
interaction
wave propagation approach
vibration characteristic
