论文部分内容阅读
本文在总结前人工作的基础上,建立了模糊约束条件,明确了问题的提法。在此提法下,确定性数学的唯一解,变成了一个解的模糊区间集。对于一个给定的滑动面,此解集的长度常小于允许计算误差,因此可以用集上任意一个点来代表整个解区间。与此相应,我们用二重复形法来寻求计算情况下考察土域的最小安全系数,它同样代表了一个最小安全系数解的模糊区间集,並且可以用允许计算误差来估计它的上、下界。 和常用方法的对比电算及理论分析表明,本文建立的方法的计算成果,是和传统的允许安全系数的工程观念相适应的。
On the basis of summarizing the work of predecessors, this paper establishes the fuzzy constraints and clarifies the formulation of the problems. Under this formulation, the only solution to deterministic mathematics becomes a fuzzy interval set of solutions. For a given sliding surface, the length of the solution set is often smaller than the allowable calculation error, so any point on the set can be used to represent the entire solution interval. Correspondingly, we use the doubly-repeated method to find the minimum safety factor for the soil under investigation, which also represents a fuzzy interval set for the solution of the minimum safety factor, and we can estimate its upper and lower bounds by allowing the calculation error . Compared with common methods, the calculation and the theoretical analysis show that the calculation results of the method established in this paper are compatible with the traditional engineering concepts that allow the safety factor.