航空学报 > 2009, Vol. 30 Issue (9): 1655-1660

基于响应面的系统性能可靠性优化设计方法

曾声奎,李霏霞,马纪明   

  1. 北京航空航天大学 工程系统工程系
  • 收稿日期:2008-07-08 修回日期:2008-10-13 出版日期:2009-09-25 发布日期:2009-09-25
  • 通讯作者: 曾声奎

Response Surface-based Performance Reliability Optimization Design Method

Zeng Shengkui, Li Feixia, Ma Jiming   

  1. Department of System Engineering of Engineering Technology, Beijing University of Aeronautics and Astronautics
  • Received:2008-07-08 Revised:2008-10-13 Online:2009-09-25 Published:2009-09-25
  • Contact: Zeng Shengkui

摘要: 提出了建立基于Logistic变换的性能可靠度与关键设计参数(DDP)之间函数关系的响应面方法以及性能可靠性优化设计模型。通过试验设计、一体化仿真、Logistic变换、多项式拟合、方差分析和模型检验等步骤,来构建系统性能可靠性响应面模型。并以性能可靠度为目标,性能设计参数可行域为约束进行设计优化。针对舵机案例,以性能模型和干扰模型为基础,通过仿真及回归分析,建立了性能可靠度与关键设计参数(Ce,Kp,J)的响应面模型。建立了舵机性能可靠性设计优化模型,对关键设计参数进行了优化。

关键词: 性能, 可靠性, 试验设计, Logistic变换, 响应面, 优化

Abstract: A Logistic transformation-based response surface method is proposed to formulate the relationship between performance reliability and design dependent parameters (DDPs), and performance reliability optimization design models are formulated. The performance reliability response surface model is built by steps of experiment design, integrated simulation, Logistic transformation, polynomial regression, variance analysis,and model verification. Taking performance reliability as target and the feasible region of design variables as constraints, performance reliability and related DDPs are designed and optimized. In the case study of an actuator, a response surface model of performance reliability and DDPs (Ce, Kp, J) is built based on integrated performance and reliability simulation and regression analysis. The optimization equations are set and optimized, which takes actuator performance reliability as target and DDPs (Ce, Kp, J) as design variables.

Key words: performance, reliability, experiment design, Logistic transformation, response surface, optimization

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