基于物理规划与容差模型的压杆可靠性稳健设计  

Reliability-based Robust Design of Compressive Bar Based on Physical Programming and Tolerance Model

作　　者：林卫国[1] 黄伟军[1] 周晨[1] 陈康[1] 郑相周[1] 

机构地区：[1]华中农业大学工学院,武汉430070

出　　处：《机械设计与研究》2016年第3期69-72,80,共5页Machine Design And Research

基　　金：国家自然科学基金项目资助(51305152;51405179)

摘　　要：可靠性稳健设计本质上是一个多目标优化问题。物理规划法的偏好函数设计对数学模型有非常重要影响,为了使偏好区间的选择更加符合工程实际,文章将物理规划法与容差模型二步解法结合。第一步通过获取待优化目标函数的一般非稳健解信息,以此指导目标函数偏好函数的设计;第二步,构建以综合目标偏好函数为新的设计目标函数,将多目标优化问题转化为单目标问题,引入稳健设计变差影响,构建可靠性稳健设计模型;最后利用小生境粒子群算法对模型进行求解。以压杆稳定设计问题为例,验证了所提方法理论的正确性和可行性,表明该方法是解决工程构件可靠性稳健设计的一种实用有效的数值方法。Reliability-based robust design is essentially a multi-objective optimization problem. Preference functions design of the Physical Programming has very important influence on mathematical model. This article will Physical Programming and the two-step method in combination with tolerance model, in order to make the choice of preference range more conform to the engineering practice. First, by getting information for optimizing the objective function is not robust solution, to guide the design of target function preference function; Second, construct a comprehensive target preference function for the new design objective function, the multi-objective optimization problem is transformed into single objective problem, the introduction of robust design variation to construct the reliability-based robust design model; In the end, the model is solved by using niche particle swarm algorithm（NPSO）. On compressive bar stability design problems, for example, the validity and feasibility of the proposed method is verified by theoretical analysis, which shows that the method is to solve the engineering structural reliability robust design of a practical and effective numerical method.

关 键 词：物理规划 容差模型 小生境粒子群 可靠性稳健 

分 类 号：TH122[机械工程—机械设计及理论]