2017
DOI: 10.1007/s12665-017-7136-1
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Reliability analysis of a large-scale landslide using SOED-based RSM

Abstract: A design matrix in response surface method (RSM) that satisfies the orthogonality is very useful because the mean square error can be minimized, so that the response surface is more precise. But the orthogonality of a second-order design matrix in conventional RSM cannot be satisfied. In this paper, a second-order orthogonal experimental design (SOED)-based RSM is proposed by considering the orthogonality of high-order design matrix. The SOED is constructed by changing the length of star points, and the main c… Show more

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Cited by 10 publications
(3 citation statements)
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“…Response surface method (RSM) (Li et al, 2011;Huang and Zhou, 2017;Zhou and Huang, 2018) Produces failure surface using the input variables using mathematical function and models by finite element to define FOS Point estimation to generate response and approximation functions in surface generation Monte Carlo simulation (MCS) (El-Ramly et al, 2002;Griffiths et al, 2009;Zhang et al, 2011) Repeated random samples generation using PDF of input variables. mathematical function to define FOS Need for large amount of random samples and longer time for computations Subset simulation (SS) (Au and Beck, 2003;Wang et al, 2011;Li et al, 2016) Makes use of conditional probability and Markov chain levels to compute FOS using PDF of input variables Need spreadsheet to estimate the new confining range for each input at each level such unpredictability, LEM is combined with statistical analysis thereby determining the failure probability (Pf) of slopes (Wang et al, 2011;Cao, 2012).…”
Section: Simulation Methodsmentioning
confidence: 99%
“…Response surface method (RSM) (Li et al, 2011;Huang and Zhou, 2017;Zhou and Huang, 2018) Produces failure surface using the input variables using mathematical function and models by finite element to define FOS Point estimation to generate response and approximation functions in surface generation Monte Carlo simulation (MCS) (El-Ramly et al, 2002;Griffiths et al, 2009;Zhang et al, 2011) Repeated random samples generation using PDF of input variables. mathematical function to define FOS Need for large amount of random samples and longer time for computations Subset simulation (SS) (Au and Beck, 2003;Wang et al, 2011;Li et al, 2016) Makes use of conditional probability and Markov chain levels to compute FOS using PDF of input variables Need spreadsheet to estimate the new confining range for each input at each level such unpredictability, LEM is combined with statistical analysis thereby determining the failure probability (Pf) of slopes (Wang et al, 2011;Cao, 2012).…”
Section: Simulation Methodsmentioning
confidence: 99%
“…Actually, the angle can be derived by the following equation, where β is the angle between normal of crushing surface and loading axis; ϕ is the friction angle of testing samples, as shown in Figure 5 b,d. According to the previous work [ 44 ], the higher compressive strength of samples is, the more sliding surfaces. Such phenomenon appears for the strength of ATWR is higher than that of NR.…”
Section: Rock Mechanical Propertiesmentioning
confidence: 99%
“…Currently, the common slope reliability analysis methods are the Monte Carlo method [12][13][14][15][16][17], response surface method (RSM) [18][19][20], Latin hypercube sampling (LHS) multidimensional stratified sampling method [21][22][23][24], and first-order second-moment method (FOSM) [25][26][27][28]. In this regard, the Monte Carlo method is widely used in financial engineering, biomedicine, economics, computational physics, and geotechnical engineering.…”
Section: Introductionmentioning
confidence: 99%