Dynamic Reliability Analysis Of Bedding Slope Based On Asymptotic Integration Method

Seismic-induced instability of bedding rock slope is very harmful and destructive.Therefore,it is a hot issue to study the reliability of the bedding slope under earthquake action.Firstly,this thesis focuses on the shortcomings of the common method for solving the reliability of the bedding slope reliability(Monte Carlo method),introducing the progressive integration method to solve the reliability field of the bedding slope at the first time.Secondly,the ground motion is usually approximated as inertial force,and this approximation ignores the randomness of the earthquake.Therefore,the virtual excitation method is used to deal with the earthquake.Finally,the paper introduces the fuzzy theory to deal with the uncertainty of the equilibrium state of the bedding slope.Based on the asymptotic integral method,this thesis uses the virtual excitation method and fuzzy theory to study the reliability of the influence of ground motion on the rock slope.The main work and conclusions of the thesis include:(1)Firstly,the numerical simulation software is used to establish the analysis model of the bedding slope,and then the static calculation and dynamic calculation of the bedding slope are carried out,so that the sliding surface unit under the influence of ground motion on the bedding rock slope is obtained.Dynamic stress time-history curve,then the asymptotic integration method is used to obtain the dynamic reliability time history of the smooth slope of the bedding slope.In order to verify the feasibility of the progressive integration method to solve the reliability of bedding slope,this thesis solves the dynamic reliability time history of this case by Monte Carlo method,and compares the result with the reliability time history obtained by the asymptotic integration method.The comparison results show that the progressive integration method has a good prediction accuracy,and the estimation efficiency is obviously improved compared with the Monte Carlo method.Therefore,the progressive integration method is suitable for the solution of the bedding slope reliability.(2)Using the virtual excitation method to deal with the seismic action,a fast algorithm for the dynamic response of the bedding slope affected by the smooth random ground motion is obtained.Then,the dynamic reliability of the bedding slope affected by the random random ground motion is solved by the progressive integration method.In order to verify the rationality of the virtual excitation method,two sets of controlled experiments are proposed in this thesis,which are to solve the dynamic reliability of bedding slope by static method and time-history method based on numerical simulation.The comparison results show that the virtual excitation method can partially reflect the randomness of ground motion effects,and the computational efficiency is significantly improved compared with the time-course method based on numerical simulation.(3)Considering the uncertainty of the limit state of the bedding slope,the fuzzy theory is introduced,and the dynamic fuzzy reliability of the bedding slope is obtai ned by combining the progressive integral method and the virtual excitation method.The comparison of calculation results shows that the uncertainty of the limit state of the slope will reduce the reliability of the slope.(4)Exploring the influence of the structural strength data of the bedding slope and the seismic force parameters on the reliability of the dynamic state.