考虑地震非平稳性的隧道纵向抗震可靠度分析

考虑地震运动的非平稳性,将沉埋隧道地震反应分析的数学模型应用于隧道纵向随机地震响应及其抗震动力可靠度分析。从有限元动力分析的基本原理出发,利用脉冲响应函数和傅立叶变换原理,结合随机振动理论,研究了将地震荷载作为非平稳随机过程时隧道纵向随机地震响应及其抗震动力可靠度分析方法,建立了地下结构随机地震响应数字特征及其抗震动力可靠度的计算表达式。以南京长江越江隧道初步设计方案(沉管段)为例,计算了其在非平稳随机过程地震动作用下的动力反应均方根值和纵向抗震动力可靠度,并研究了管段接头的抗震可靠度。

DYNAMIC RELIABILITY ANALYSIS ON RESISTANCE OF TUNNELS TO LONGITUDINAL NON-STATIONARY EARTHQUAKE

Under the condition of non-stationary stochastic earthquake motion process,the numerical models of seismic responses of submerged tunnels are utilized to study the non-stationary stochastic seismic responses and the dynamic reliability of resistance of tunnels to longitudinal earthquake. Based on the basic principles of finite element dynamical analysis,an analysis method of the longitudinal non-stationary stochastic seismic responses and the aseismic reliability of tunnels is studied,and the evaluation formulas are derived for these purposes by using the impulse-response function and the principles of Fourier transform and theories of random vibration. The Nanjing Changjiang Tunnel is used as an example to compute the root-mean-square responses,the longitudinal aseismic reliability under non-stationary random earthquake loads and the reliability of earthquake resistance of its joint.