岩质边坡稳定性时程分析下限法研究

基于动力学理论、塑性极限分析下限法理论、块体单元离散技术以及数学规划理论,提出了一种岩质边坡地震动力稳定性的时程分析下限法.首先使用块体单元离散岩质边坡,然后采用拟动力法原理计算块体单元形心的地震时程加速度,最终建立符合平衡方程、屈服条件、力边界条件的岩质边坡地震动力稳定性的线性数学规划模型,最后使用数学规划算法求解模...

Lower limit method of time history analysis for dynamic stability of rock slopes

Based on the dynamics theory, the lower limit method of plastic limit analysis, the block element discrete technique and the mathematical programming theory, a lower limit method of time history analysis for the seismic dynamic stability of rock slopes is proposed in this paper. With this method, block unit is used to discrete a rock slope, and then seismic time history acceleration of its centroid is calculated using the pseudo dynamic principle. Finally, a linear mathematical programming model of seismic dynamic stability is established according to the balance equation, the yield condition and force boundary conditions of the rock slope. The mathematical programming algorithm is adopted to solve the model, and the variation of safety coefficient of rock slope stability under the action of earthquakes over time is obtained. Compared with the pseudo static method, which can only produce single value of slope safety coefficient, this method can provide both the time history curve and internal force time history curve of slope safety coefficient. This method has clear definition, is theoretically sound with high calculation accuracy and efficiency. It can be applied to the calculation of dynamic stability of rock slopes, providing reference for seismic design of rock slopes.