固体推进剂药柱结构分析的非概率凸集合理论模型

Nonprobabilistic Convex Set Theoretic Models for Structural Analysis of Solid Propellant Grain

为了研究不确定性能参数对固体推进剂药柱结构分析的影响 ,将非概率凸集合理论模型和粘弹性有限元相结合 ,以增量法处理遗传积分 ,利用摄动法预测其响应量区间 ,发展了一种适合药柱特点的不确定性方法。将其和随机结构分析进行对比 ,表明两种方法之间有一定的联系。

The uncertainty of parameters may greatly affect structural analysis of solid propellant grain. Nonpropabilistic convex set theoretic models, combining viscoelastic finite element method, are developed to study the uncertainty of structures. Incremental method is applied to solving the hereditary integrals. Perturbation method is used to predict the variability of structural response. The developed method is suitable for uncertain structural analysis of solid propellant grain. By comparing with stochastic structural analysis, relations between the two methods have been found.