An approximation to the reliability of series geotechnical systems using a linearization approach |
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| Institution: | 1. College of Computer Science, Chongqing University, Chongqing 400030, China;2. Faculty of Science and Technology, University of Macau, Macau, China;1. State Key Laboratory of Ocean Engineering, Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, People’s Republic of China;2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), Shanghai, People’s Republic of China;3. Shanghai Key Laboratory for Digital Maintenance of Buildings and Infrastructure, Shanghai, People’s Republic of China;4. Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, People’s Republic of China;1. Department of Civil Engineering, Lakehead University, Thunder Bay, ON P7B 5E1, Canada;2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | A method based on the linearization of the limit state functions (LSFs) is applied to evaluate the reliability of series geotechnical systems. The approach only needs information provided by first order reliability method (FORM) results: the vector of reliability indices, β, of the LSFs composing the system; and their correlation matrix, R. Two common geotechnical problems—the stability of a slope in layered soil and a circular tunnel in rock—are employed to demonstrate the simplicity, accuracy and efficiency of the suggested procedure, and advantages of the linearization approach with respect to alternative computational tools are discussed. It is also found that, if necessary, the second order reliability method (SORM)—that approximates the true LSF better than FORM—can be employed to compute better estimations of the system’s reliability. |
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| Keywords: | System reliability Linearization FORM SORM Layered soil slope Circular rock tunnel |
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