针对岩石抗剪强度参数的确定具有随机性与模糊性的特征,首先,采用非对称三角模糊数表示岩石抗剪强度参数取值的方法,以此反映岩石抗剪强度参数取值的区间性特征及可能性分布.其次,采用试验值与最可能计算取值的加权差平方及非对称三角模糊数计算值在某截集水平下的区间宽度之和作为目标函数进行模糊优化分析,并通过引进“3б”原则建立出非对称三角模糊数的合理截集水平确定方法,从而建立出基于非对称三角模糊数的岩石抗剪强度参数确定新方法,该方法不仅减少异常试验数据对最可能分析结果的影响,且能反映岩石抗剪强度参数取值的不确定性特点,为岩石工程不确定性分析提供力学参数取值新方法.最后,通过工程实测计算并与其他方法进行比较分析,表明该法的合理性.
Aiming at the randomness and fuzziness for determining parameters of rock's shear strength,firstly,a method is put forward to express parameters of rock's shear strength using asymmetric triangular fuzzy numbers,which can reflect the interval features and probability distribution of parameters of rock's shear strength.Secondly,the sum of interval width of asymmetric triangular fuzzy numbers under some cut level together with square of the difference of weight between testing values and most probability calculation values is regarded as objective function for fuzzy optimistic analysis;and the determining method for the suitable cut level of asymmetric triangular fuzzy number is proposed by using “3σ” rule.Then,the approach to determine the reasonable cut level of asymmetric triangular number is developed;accordingly,a new method to determine parameters of rock's shear strength based on asymmetric triangular fuzzy numbers is established.This method can reduce the effect of abnormal testing data on the most probability analysis results and can reflect the uncertainty features for determining the parameters of rock's shear strength.It can provide a new method for deciding values of mechanical parameters for the uncertainty analysis of rock engineering.Finally,the analysis of practical engineering computation and relative comparison to other methods shows that the proposed method is reasonable.