- ISSN 0258-2724
- CN 51-1277/U
- EI Compendex
- Scopus
- Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
- Chinese S&T Journal Citation Reports
- Chinese Science Citation Database
| Citation: | LI Tiansheng, HE Chuan, FANG Yanbing, ZHOU Zihan, BAO Yeming, CHEN Ziquan, BAI Guofeng. Reliability-Based Design Method of Tunnel Structures Based on Deformation Failure of Surrounding Rock[J]. Journal of Southwest Jiaotong University, 2023, 58(3): 613-621. doi: 10.3969/j.issn.0258-2724.20220137
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In order to scientifically address the uncertainty caused by material properties and complex geological environments in tunnel engineering and make the support design more safe and reasonable, a tunnel reliability design and calculation method based on reliability theory is proposed. Firstly, according to the geometric meaning of the reliability index, an optimization model considering correlation and non-negativity of parameters is established, which is limited in the original space based on Nataf transformation and Cholesky decomposition. Secondly, the design points are obtained directly by using the optimization function embedded in the numerical software without the need to calculate the partial derivatives manually, and the probability of failure is calculated by the important sampling method at the design point, so as to form a real reliability calculation method considering convergence and accuracy. Then, highly nonlinear numerical examples and non-circular tunnel problems are presented to validate the effectiveness and adaptability of the proposed method. Finally, the proposed method is applied to design and calculate the tunnel support resistance based on the performance function concerning the deformation failure of surrounding rock. Results of the example analysis show that the proposed method can obtain design points at a low cost, and the relative error with the results of the Monte Carlo method is less than 1.0%. In addition, the proposed method can address the non-circular tunnel reliability without analytical performance function with the help of response surface function with cross terms. The proposed method can obtain accurate design values of support resistance with a relative error of less than 0.5% with the Monte Carlo method. Additionally, parameter analysis shows that the sensitivity of the internal friction angle is greater than that of the cohesion and deformation modulus.
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