The Reliability‐Based Design Optimization of considering Rock‐Support Interaction for Rock Tunnels

Abstract

Uncertainty is critical to the tunnel design. In this study, a novel reliability-based design (RBD) method was developed by integrating the rock-support interaction and its uncertainties for rock tunnels. In this method, the rock-support interactions were analyzed based on a convergence-confinement method. Uncertainties were estimated by reliability analysis using Excel Solver. Chaotic particle swarm optimization (CPSO) was adopted to search the optimal tunnel design parameters based on the rock-support interaction analysis. The proposed method for estimating the reliability index and determining the tunnel support parameters was introduced in detail. To illustrate the proposed method, it was applied to two tunnels with rock-bolt and combined support systems. The results indicated that the method could obtain accurate solutions with a dramatically improved computing efficiency, guaranteeing the tunnel stability at the same time. The developed method provides an excellent way to deal with the uncertainty in tunnel design. It was proved to be an efficient and effective method for the support designs of rock tunnels.

Reliability analysis of bolt‐supported tunnels regarded as homogenized structures

“…The basic concept of the RSM is the determination of the coefficients a 0 , a i , and a ij to define an analytical function $$\hat{y}$$ with an optimal approximation of y obtained through FEM. Although some authors 15,16 have employed the polynomial chaos expansion associated with computational tunneling models to perform reliability analysis, we adopt a more straightforward RSM approach whose implementation has led to reasonable relevant results in the present study.…”

“…The results showed an overestimation of the failure probability when the parameter variability is disregarded. Zhao et al 15 . and Zhao et al 16 .…”

“…The results showed an overestimation of the failure probability when the parameter variability is disregarded. Zhao et al 15 and Zhao et al 16 employed the polynomial chaos expansion associated with computational tunneling models to perform reliability analysis of circular and horseshoe-shaped tunnels. In that respect, the results have shown that the polynomial chaos expansion can effectively replace other classical RSM methods.…”

Design optimization of a wind tunnel force balance using stepwise response surface method

“…Other models involve a hybrid of various techniques to increase efficiency, such as combining the Monte Carlo Simulation (MCS) with a hybrid Artificial Neural Network (ANN) based Whale Optimization Algorithm (WOA) [46]. RBDO is utilized for a number of reasons, the first being that it allows for simulating and optimizing a scenario that would either be too costly [47], [48], would be too unsafe [49] or would be unfeasible [50] to run a physical model. This method of optimization creates a theoretical model of the desired system.…”