A one-dimensional integral approach to calculating the failure probability of geotechnical engineering structures |
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| Institution: | 1. State Key Laboratory of Water Resources Engineering and Management, Institute of Engineering Risk and Disaster Prevention, Wuhan University, Wuhan 430072, China;2. MOE Key Laboratory of High-Speed Railway Engineering, Institute of Smart City and Intelligent Transportation, Southwest Jiaotong University, Chengdu 611756, China;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, 8 Donghu South Road, Wuhan 430072, PR China;2. Department of Civil and Environmental Engineering, National University of Singapore, Blk E1A, #07-03, 1 Engineering Drive 2, Singapore 117576, Singapore;3. Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong |
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| Abstract: | This study focuses on the geotechnical engineering structures with implicit or unknown expressions of performance functions. A one-dimensional integral approach (ODIA) consisting of sampling, evaluation of statistical moments for multivariable functions, probability density function fitting, and simple integration of failure probability was developed through system integration. A convergence study of an illustrative example was conducted, and the error analysis revealed that the accuracy of ODIA is equivalent to that of the second-order reliability method. Applications of ODIA to a slope and surrounding rock of an excavation were presented to further confirm the accuracy, efficiency, and practicability of the approach. |
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| Keywords: | Geotechnical engineering reliability Implicit or unknown performance function One-dimensional integral Gaussian sampling Maximum entropy principle |
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