【摘要】 将模糊随机理论应用于边坡可靠性评价当中,为了考虑随机变量的模糊随机性,引入稳定系数的隶属函数对边坡的实际工作状态进行模糊可靠评价。提出模糊随机极限状态方程的二次构造思想,即将模糊随机理论和响应面法相结合,首先利用响应面法进行一次构造,得到可靠度响应面函数,在此基础上借助隶属函数的补函数作为辅助,进行二次构造极限状态方程来计算边坡的模糊随机可靠度。结果表明,该方法计算简便、收敛速度快,克服了对模糊概率密度函数直接积分求解时过程复杂、耗费机时的缺点,具有较高的计算精度和广泛的工程实用性。计算所得到的可靠性指标更加能够真实地反映边坡的稳定状态,为边坡工程可靠性研究提供了一种新的方法。更多还原

【Abstract】 Fuzzy stochastic theory is applied to the slope reliability evaluation.Considering the fuzzy and stochastic features of random variables,the subordinate function of stability factor is introduced to perform fuzzy reliability analysis for the actual working condition of the slope.The secondary structure of fuzzy random limit state equation is proposed on the basis of combining the fuzzy stochastic theory with the response surface method.The response surface method is used on a structure firstly to obtain the reliability response surface function,based on which the complementary function of subordinate function is used as an auxiliary to carry on the secondary limit state equation to calculate the random fuzzy reliability of the slope.Rather than directly solving the fuzzy probability density function by integral calculus,which is complicated and time-consuming,this method is proved to be simple with fast convergence and high precision of calculation,thereby can be used widely.The slope stability can be reflected more accurately by the calculated reliability indexes.The method can be regarded as a new approach of studying the reliability of slopes.更多还原