基于凸模型的复杂多学科系统可靠性设计研究  

Research on reliability design of complex multidisciplinary system based on convex model theory

作　　者：陶友瑞[1,2] 韩旭[2] 

机构地区：[1]湖南工程学院机械工程系,湘潭411104 [2]湖南大学汽车车身先进设计制造国家重点实验室,长沙410082

出　　处：《计算力学学报》2014年第1期8-12,36,共6页Chinese Journal of Computational Mechanics

基　　金：湖南省自然科学基金(12JJ0917);湖南大学汽车车身先进设计制造国家重点实验室开放基金(31115014);湖南工程学院科研启动基金(2011);湖南省湘潭市科技局资助项目;博士后基金(2013M542105)

摘　　要：复杂工程系统通常涉及到多个相互耦合的学科,而且其中往往存在不确定性因素。本文采用凸模型描述不确定性变量,将序列优化和可靠性评价方法应用于多学科可靠性优化之中,提出了一种新的多学科系统可靠性设计方法。在该方法中,可靠性分析采用功能度量法,多学科优化方法采用多学科可行方法或者二级系统一体化合成优化方法。数值算例和工程算例说明,该方法求解效率较常规嵌套求解方法效率高,为复杂工程系统的可靠性设计提供了一种新型求解算法。Complex engineering system usually involves coupled multi-discipline and uncertainties. A new approach for reliability design of multi-disciplinary system is proposed, in which uncertain variables are described by convex model and sequential optimization, and reliability assessment method are used as optimization strategy. The reliability analysis method is performance measure approach,and multi-disci- plinary feasible method or bi-level integrated system synthesis method is used to optimize the multi-disci- plinary system. A numerical example and an engineering problem were solved by the approach to demon- strate its effectiveness. Compared with the conventional inner-loop method, the computational efficiency is higher. Therefore, the novel approach is likely applied in reliability design for complex engineering system.

关 键 词：凸模型理论 多学科设计优化 可靠性设计 

分 类 号：O213.2[理学—概率论与数理统计]