一种基于强度折减法的自适应安全系数算法研究

在系统分析FLAC^3D 5.0内置安全系数算法的求解机制和不足的基础上,根据失稳状态下求解不平衡力比率时步曲线的变化规律,基于更小分析单位的系统失稳状态判定机制,提出了自适应安全系数算法及其计算流程,并进行了验证。研究结果表明:自适应安全系数算法的求解结果准确可靠; 相比内置安全系数算法,自适应安全系数算法能够显著提高安全系数的计算效率,并且随着模型网格密度增加,自适应安全系数算法计算效率优势更加明显。

An Adaptive Method for Solving Factor of Safety Based on Strength Reduction Method

Based on the analysis of the mechanism and deficiencies in the solution by safety factor algorithm built in FLAC^3D 5.0, the problem of variation law for the curve of the unbalanced force ratio vs time step is solved in an unstable state. An adaptive algorithm for factor of safety and the calculation process are all proposed based on the judgment mechanism for the system instability state with smaller analysis unit. And its effectiveness is then validated. Since the derived results are verified to be accurate and reliable, it is concluded that the adaptive algorithm for safety factor can significantly improve the efficiency of calculation for safety factor compared to the safety factor algorithm in FLAC3D 5.0. Furthermore, with the increase of the grid density of the model, the adaptive algorithm for safety factor will manifest an even greater advantage.