论文部分内容阅读
以土介质中的地铁隧道为研究背景,首先利用考虑横向剪切变形的中厚圆柱壳理论建立了隧道结构的振动方程,然后利用均匀、各向同性、线弹性介质的Navier’s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,通过接触面连续条件建立了考虑土层-隧道结构动力相互作用的隧道结构振动控制方程,继而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,进而就隧道半径、壁厚、长度以及隧道埋深对隧道结构振动特性的影响进行了分析。
Taking the subway tunnel in the soil medium as the research background, the vibration equation of the tunnel structure is first established by using the medium-thick cylindrical shell theory which considers the transverse shear deformation, and then the tunnel is established by the Navier’s wave theory of uniform, isotropic and linear elastic media Based on this, the governing equations of tunnel structure considering the dynamic interaction of soil-tunnel structure are established by using the wave propagation method and the continuous condition of the contact surface. Then, by using the dispersion characteristic equation, The vibration characteristics of the structure are analyzed and compared with the corresponding results based on the thin shell theory and the finite element theory. The validity of the equation is verified. Then the influence of tunnel radius, wall thickness, length and tunnel depth on the vibration characteristics of the tunnel structure The impact of the analysis.