高速公路隧道二次衬砌结构灵敏度及线性相关性分析
Sensitivity and Linear Correlation Analysis of Secondary Lining Structures in Highway Tunnels

为研究高速公路隧道衬砌厚度对于二次衬砌的影响，以某高速公路隧道为例，采用“荷载–结构法”构建结构有限元计算模型，运用PDS技术并结合蒙特卡洛分析方法实现隧道二次衬砌灵敏度及线性相关性分析，从而得出二次衬砌随机变量的影响因素与作用规律。研究得出：衬砌厚度对衬砌结构的最大位移、最大轴力、最大弯矩的影响占比大于40%，说明衬砌厚度在隧道二次衬砌结构安全性影响程度占比较大，是二次衬砌安全性主要影响因素；厚度与其最大位移、最大轴力、最大弯矩的线性相关系数均大于0.73，同时趋势线斜率数值较大，说明衬砌厚度与隧道二次衬砌安全性的线性相关程度明显，且影响速率相对较大。通过对公路隧道二次衬砌灵敏度及线性相关性分析，其研究成果对高速公路隧道结构设计、安全施工提出借鉴。
In order to study the influence of highway tunnel lining thickness on the secondary lining, a highway tunnel is used as an example to construct a structural finite element calculation model by using the “load-structure method”, and the sensitivity and linear correlation analysis of the secondary lining is achieved by using PDS technology and combining with Monte Carlo analysis. This leads to the influencing factors and laws of action for the random variables of secondary lining. The study concluded that: the influence of lining thickness on the maximum displacement, maximum axial force and maximum bending moment of the lining structure accounted for more than 40%, indicating that the lining thickness has a greater influence on the safety of the tunnel secondary lining structure and is the main influencing factor of the secondary lining safety; the linear correlation coefficients of thickness and its maximum displacement, maximum axial force and maximum bending moment are greater than 0.73, while the slope of the trend line has a larger value, indicating that the linear correlation between lining thickness and tunnel secondary lining safety is obvious, and the influence rate is relatively large. By analyzing the sensitivity and linear correlation of secondary lining in highway tunnels, the research results are proposed to draw reference to the structural design and safe construction of highway tunnels.