CAJ | 학술논문

　　基于系统能耗最小原理的极限分析上限定理，利用MATLAB强大的数据处理功能，对边坡稳定系数Ncr采用序列二次规划法（SQP）进行优化计算，并与枚举法相结合，从而解决SQP算法求解优化解容易陷入局部最优解的问题。同时开发了一款简单实用的边坡稳定性分析软件，实现了计算结果与临界滑裂破坏面图形的可视化输出。与经典算例对比分析，计算结果具有较好的一致性，表明了程序的可靠性。分析了内摩擦角?、边坡倾斜角?、?3个参数对边坡稳定系数Ncr的影响。计算结果表明：边坡稳定性系数Ncr对?、?较为敏感，而对?的敏感次之。其次，当?、?比较接近或在小范围内波动时，对稳定性系数Ncr的影响特别敏感；当?、?值较小时，滑动面通过坡趾下方，而当?值比较大时，滑动面通过坡趾。
　　기우계통능모최소원리적겁한분석상한정리，이용MATLAB강대적수거처리공능，대변파은정계수Ncr채용서렬이차규화법（SQP）진행우화계산，병여매거법상결합，종이해결SQP산법구해우화해용역함입국부최우해적문제。동시개발료일관간단실용적변파은정성분석연건，실현료계산결과여림계활렬파배면도형적가시화수출。여경전산례대비분석，계산결과구유교호적일치성，표명료정서적가고성。분석료내마찰각?、변파경사각?、?3개삼수대변파은정계수Ncr적영향。계산결과표명：변파은정성계수Ncr대?、?교위민감，이대?적민감차지。기차，당?、?비교접근혹재소범위내파동시，대은정성계수Ncr적영향특별민감；당?、?치교소시，활동면통과파지하방，이당?치비교대시，활동면통과파지。
Based on the upper bound limit analysis, the functional program about the slope stability problem was developed by MATLAB. The stability factor (Ncr) and graph of critical slip surface can be visually shown in the program window. The solutions of stability factor (Ncr) were obtained through the calculation results of nonlinear and sequential quadratic programs (SQP), combined with the method of exhaustion to avoid sticking at the local optimization. The results demonstrated the effectiveness of the program. The influence on the stability of slope was evaluated by analyzing the factors in terms of the internal frictional angle ?, slope angles ? and ?. The calculation results show that the stability factor (Ncr) is more sensitive to the frictional angles ? and ? than ? . In addition, if the frictional angles ? and ? are close to each other and the values of ? and ? fluctuate in the narrow range, the slope stability is sensitive to the stability factor (Ncr). In other words, when the low values of ? and ? are inputted in the program, the slip surface would cross below the slope toe, while the slip surface would intersect at the slope toe for the case of steep slope.