基于物理规划与容差模型的压杆可靠性稳健设计

发布时间：2018-04-27 15:32

本文选题：物理规划 + 容差模型　；参考：《机械设计与研究》2016年03期

【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。
[Abstract]:Reliability robust design is essentially a multi-objective optimization problem. The preference function design of the physical programming method has a very important influence on the mathematical model. In order to make the choice of the preference interval more in line with the engineering practice, this paper combines the physical programming method with the two-step solution of the tolerance model. In the first step, the general non-robust solution information of the objective function is obtained to guide the design of the objective function preference function, the second step is to construct a new design objective function based on the synthetic objective preference function. The multi-objective optimization problem is transformed into a single-objective problem, and the reliability robust design model is constructed by introducing the influence of robust design variation. Finally, the niche particle swarm optimization algorithm is used to solve the model. The correctness and feasibility of the proposed method are verified by taking the stability design of the compression rod as an example. It is shown that this method is a practical and effective numerical method to solve the reliability and robust design of engineering components.
【作者单位】：华中农业大学工学院;
【基金】：国家自然科学基金项目资助(51305152;51405179)
【分类号】：TH122

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