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中文摘要：
分析发现在大多数情况下，边坡滑动模式的稳定性系数计算是一个隐函数。导致了在其相应的可靠度研究中建立显式的极限状态方程是不可能的。为了解决这一问题，以边坡稳定性分析的郎畏勒计算模式为例，研究了一种改进的响应面方法。在该方法中，采用郎畏勒分析模式的稳定性系数隐式计算方法取代经典响应面方法的有限元数值模拟计算；为了消除经典方法可靠度指标求解过程中方程线性化带来的误差，研究了采用梯度最速下降法最优化方法求解验算点的过程和步骤。然后给出了改进后的响应面方法近似显式函数拟合和可靠度指标的工作流程，最后采用改进的方法分析一个工程实例。改进的响应面计算过程比经典方法简单适用。工作量较小。具有理论意义和工程应用前景。
英文摘要：
Under most condition, in calculation of stability coefficient of slope with various sliding model, an implicit expression was used. Then it was impossible to establish corresponding limit state equation while reliability of slope was studied. To solve is problem, an improved response surface method was researched. A slope stability analysis model of random sliding surface was used as an example of the improved response surface method. In the improved response surface method, calculation method of implicit stability coefficient of random sliding surface model replaced the finite element method of classical response surface model. To eliminate errors aroused by linearization of approximative response surface method function during calculation of reliability in classical response surface method, solution of checking point and reliability index by optimization principle of grades decline method was deducted. Calculation procedure of reliability index as well as fitting of approximative response surface function of improved response surface method was given. A practical example was analyzed by the IRSM at last. Calculation process of the IRSM was much more simple and its efficiency was much higher than classical RSM.
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