Abstract:Research purposes:This paper aims to propose a stochastic response surface method based on the principle of linearly independent collocation and compile a C # - language based on computer program WHUSRSM ( Wuhan University Stochastic Response Surface Method) .Using the proposed stochastic response surface method along with the Sarma can effectively evaluate the reliability of slope stability in the implicit limit state.
Research conclusions:In this paper,the analysis of the stability of highway slope is presented to demonstrate the validity of the proposed stochastic response surface method. The results indicate that stochastic response surface method is better than the conventional response surface method in the accuracy and efficiency ,and better than Monte Carlo simulation method in the calculation efficiency . The stochastic response surface method based on the principle of linearly independent collocation can not only remove the singularity of coefficient matrix associated with the estimation of coefficients in the Hermite polynomial chaos expansion,but also greatly improve the computational efficiency.The Reliability index of the potential landslide increases with the increases of the negative correlation coefficient between cohesion and friction angle,so the results are somewhat conservative if the negative correlation is not considered.
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