本文处理一类重要的工程问题 :不确定性结构的弹塑性分析 ,分析模型包含了一类分片线性的硬化法则 ,这包含了大范围实际观察所得的材料特性 .我们所处理的不确定性是由荷载及材料参数引起的 .本文先把问题转化为一个随机非线性规划问题 ,然后用逼近技术给出一个简单的求解方法 . In this paper, we deal with an important class of engineering problems: the elasto-plastic analysis of the uncertainty structure, and the analytical model contains a class of linear hardening rules that encompass the wide range of material properties actually observed. The uncertainties we deal with Is caused by the load and material parameters.This paper first transforms the problem into a stochastic nonlinear programming problem and then uses the approximation technique to give a simple solution.