The Dynamic Stability Analysis Of Slope Based On The Numerical Manifold Method

High-steep slope’s failure occurred under the strong earthquake, formed catastrophic landslide, which not only threaten people’s life and property security, but also had severely damaging to the natural environment and resources, so the slope’s dynamic stability analysis method research has important theoretical and practical significance. Due to the dynamic experimental conditions are harsh and cost too much, so numerical analysis method had become an important research method, the numerical manifold method as a new numerical method which unified the finite element method, discontinuous deformation analysis (DDA), and the analytical method, has better adaptability to solve slope problems, however the numerical manifold method for analysis of slope stability under the dynamic action is rare and not in-depth, so it’s necessary to use the manifold method to study the dynamic stability of the slope. The work this paper carried out as follows:1. Introduction of viscous damping to dissipate the energy of the system, and write the corresponding program, through the numerical examples to verify the effectiveness of the NMM to solve the permanent displacement of the slope.2. The dynamic time history analysis was carried out on the slope, the slope’s stress fields are used to calculate the time history curve of the slope’s dynamic safety coefficient, and search for the minimum safety factor and theirs corresponding most dangerous sliding surface of the slope, the most dangerous sliding surface model was introduced into NMM to obtain the permanent displacement, then compare the result of NMM with the Newmark method.3. The numerical manifold method is used to simulation the chiu-fen-erh-shan landslide under the Chi-Chi earthquake of Taiwan.