工程安全分析中考虑岩土材料不确定性的新方法

基于凸集理论，提出了一种考虑岩土材料力学参数的不确定性，但有界限的工程安全分析新方法,并提出一种解法。该解法首先采用凸集模型定义不确定性的材料力学参数，然后，通过应用优化方法在凸集合上的搜索，找到工程安全系数K的范围，亦即K的上、下界限。该方法简便、实用，有较大的工程价值。

New approach to safety analysis of structure subjected to uncertain mechanical parameters of rock material

A new approach is presented for the safety analysis of structures subjected to bounded but uncertain mechanical parameters of rock material based on convex model theory. An optimization solution of the approach is adopted. First, it defines the uncertain material parameters with a convex model when the amount of information available on the uncertain material parameters is not enough to accurately define. The worst cases are searched over this convex model by using the optimization methods. The safety parameters domain of rock material is then got. The approach is reasonable; and the whole process is feasible.