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针对岩石抗剪强度参数c,φ的确定具有模糊性及随机性,首先,利用非对称三角模糊系数式表示参数c,φ最可能取值及其可能性分布,再通过非对称三角模糊数在特定截集水平下的宽度之和与测试值和计算分析最可能取值加权系数的方差作为目标函数进行模糊优化分析,同时通过“3σ”原则合理地确定非对称三角模糊数截集水平h,从而为岩土工程设计的优化提供了一种新的方法,该方法不仅可有效减少较大离散性数据对分析结果的影响,又真实地反映了实际工程中参数c,φ取值的不确定性特征。通过与最小二乘法的对比,表明该方法较符合工程实际。
According to the determination of the shear strength parameters c, φ of the rock with fuzziness and randomness, firstly, the most probable value of the parameters c, φ and its probability distribution are expressed by using the asymmetric triangular fuzzy coefficient formula, and then the asymmetry triangular fuzzy number And the variance of the most probable value weighting coefficient between the test value and the calculation and analysis is taken as the objective function to carry out the fuzzy optimization analysis. At the same time, the “three sigma” principle is used to reasonably determine the intercept level of the asymmetric triangular fuzzy number h, which provides a new method for optimization of geotechnical engineering design. This method can not only effectively reduce the influence of large discrete data on the analysis results, but also truly reflect the values of parameters c and φ Uncertainty characteristics. The comparison with the least square method shows that the method is more in line with the engineering practice.