中国机械工程 ›› 2015, Vol. 26 ›› Issue (6): 721-728.

• 机械基础工程 • 上一篇    下一篇

基于公理设计的机械系统稳健性分析及应用

程贤福;李骏;徐尤南;朱启航   

  1. 华东交通大学,南昌,330013
  • 出版日期:2015-03-25 发布日期:2015-03-24
  • 基金资助:
    国家自然科学基金资助项目(51165007,71462007);江西省自然科学基金资助项目(20132BAB206025) 

Axiomatic Design-based Analysis of Mechanical System Robustness and Its Applications

Cheng Xianfu;Li Jun;Xu Younan;Zhu Qihang   

  1. East China Jiaotong University,Nanchang,330013
  • Online:2015-03-25 Published:2015-03-24
  • Supported by:
    National Natural Science Foundation of China(No. 51165007,71462007);Jiangxi Provincial Natural Science Foundation of China(No. 20132BAB206025)

摘要:

以用户需求为切入点,对产品的功能语义和功能需求进行元模型描述,将用户需求转化为功能要求。以公理设计为指导框架,基于独立公理和Z字形映射方式,寻找并确定设计参数,明确功能要求之间及其与设计参数的相互关系,建立完整设计矩阵。将公理设计矩阵转换为设计结构矩阵并对其进行重构,生成几个相互之间具有较小依赖度的聚类耦合模块,得到系统稳健关联矩阵。然后将各个模块之间的关联参数作为可控因素,通过试验设计分析其对目标影响的重要程度并实施针对性的控制与调整,从而提升机械产品系统的稳健性。基于所提出的稳健性分析方法进行了起重机小车的设计,说明了该方法的应用过程,证明该方法是可行性的。

关键词: 稳健性分析, 试验设计, 公理设计, 机械系统

Abstract:

In the process of system modeling, the customer needs were  transformed into functional requirements, which were expressed with metamodel. Based on independent axiom and zigzag mapping mode of axiomatic design, the functional requirements were mapped to design parameters, and the design matrix was created, which was then converted into design structure matrix by identifying the relation among functional requirements and the sensitivity of functional requirements to design parameters. Clustering algorithm was utilized to cluster the design parameters and to group the system components into modules in design structure matrix, and the interface among modules could be identified and system robustness interaction matrix was developed. Then the interaction parameters were considered as controllable factors, and experimental design techniques were utilized to analyze the fluency of interaction parameters on the design goal, if any,that mought result in a robust system. The applications of the approach were illustrated with crane example of the design of a crab system, which proves its effectiveness and feasibility.

Key words: robustness analysis, design of experiment, axiomatic design, mechanical system

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