复杂产品质量特性波动混沌传递状态空间建模

中国机械工程 ›› 2011, Vol. 22 ›› Issue (12): 1466-1471.

复杂产品质量特性波动混沌传递状态空间建模

任显林;张根保

重庆大学,重庆,400044

出版日期:2011-06-26 发布日期:2011-07-01
基金资助:
国家高技术研究发展计划(863计划)资助项目(2009AA04Z119)；国家自然科学基金资助项目(50835008)；国家科技重大专项(2009ZX04014-016，2009ZX04001-013，2009ZX04001-023)；数字制造装备与技术国家重点实验室开放基金资助项目
National High-tech R&D Program of China(863 Program) （No. 2009AA04Z119）;
National Natural Science Foundation of China（No. 50835008）;
National Science and Technology Major Project ( No. 2009ZX04014-016，2009ZX04001-013，2009ZX04001-023)

Chaotic Transfer State Space Model of Quality Characteristics Variation for Complex Products

Ren Xianlin;Zhang Genbao

Chongqing University,Chongqing,400044

Online:2011-06-26 Published:2011-07-01
Supported by:
National High-tech R&D Program of China(863 Program) （No. 2009AA04Z119）;
National Natural Science Foundation of China（No. 50835008）;
National Science and Technology Major Project ( No. 2009ZX04014-016，2009ZX04001-013，2009ZX04001-023)

摘要/Abstract

摘要：

针对复杂产品质量系统非线性耦合状态下的质量特性波动传递与控制问题，提出了质量特性波动混沌传递模式，分析了质量特性非线性混沌特性以及复杂质量系统结构参数进入混沌区域的临界点，建立了产品质量特性波动传递混沌状态空间计算模型，给出了复杂产品装配过程质量特性波动传递的实例建模。最后，结合项目实施，以零传动滚齿机装配过程质量特性波动传递为例，证明了提出的理论与计算模型的有效性。 

关键词:

质量控制, 质量特性波动, 混沌传递, 状态空间方法



Abstract:

Aiming at transfer and control of quality characteristics variation for complex products, a chaotic-fractal transfer pattern was established in nonlinear coupling quality systems. Evolution rules of quality characteristics variation were put forward under analyzing nonlinear and chaotic characteristics of quality characteristics and deciding region of chaotic critical spot on structure parameters of complex quality system was discussed. Chaotic state-space mathematical model of quality characteristics variation transfer was conducted and a calculation model example for complex product assembly process was given. Finally, an instance related with the project on the direct-drive gear hobbing machine was given to prove that the proposed theories and model can solve quality characteristics variation transfer problem effectively.

Key words:

quality control, quality characteristics variation, chaotic transfer, state space method

中图分类号:

TH165.4

任显林, 张根保.

复杂产品质量特性波动混沌传递状态空间建模

[J]. 中国机械工程, 2011, 22(12): 1466-1471.

LIN Xian-Lin, ZHANG Gen-Bao.

Chaotic Transfer State Space Model of Quality Characteristics Variation for Complex Products

[J]. China Mechanical Engineering, 2011, 22(12): 1466-1471.

参考文献

[1]Lin C L, Lin J L, Ko T C. Optimisation of the Edm Process Based on the Orthogonal Array with Fuzzy Logic and Grey Relational Analysis Method [J]. The International Journal of Advanced Manufacturing Technology,2002,19(4) :271-277.
[2]Khuri A I, Valeroso E S. Optimization Methods in Multiresponse Surface Methodology in Statistical Process Monitoring and Optimization [M].Park S H,Vining G G, Eds. New York= Marcel Dekker, 1999.
[3]Yang T, Kuo Y, Chou P. Solving a Multiresponse Simulation Problem Using a Dual response System and Scatter Search Methud[J]. Simulation Modelling Practice and Theory, 2005, 13 (4) : 356- 369.
[4]Elsayed E A, Chen A. Optimal Levels of Process Parameters for Products with Multiple Characteris tics [J]. International Journal of Production Research, 199.3,31(5) : 1117-1132.
[5]Tong L I, Su C T, Wang C H. The Optimization of Multi-response Problems in the Taguchi Method[J]. International Journal of Quality & Reliability Management, 1997,14(4) : 367-380.
[6]Daniel Y, Fong T, Lawless J F. The Analysis of Process Variation Tranmission with Multivariate Measurements[J].Statistica Sinica, 1998, 46 (8) :151-164.
[7]Lawless J F, Mackay R J, Robinson J A. Analysis of Variation Transmission in Manufacturing Proces- ses- Part I[J]. Journal of Quality Technology, 1999,31(2) :131-142.
[8]Agrawal R, Lawless J F, Mackay R J. Analysis of Variation Transmission in Manufacturing Processes -Part II[J]. Journal of Quality Technology, 1999, 31(2):143-154.
[9]Kokai G, Toth Z, Vanyi R Described by Parametric Evolving Artificial Trees L - systems [C]//IEEE Canadian Conference on Electrical and Computer Engineering ' Engineering Solutions for the Next Millennium :Alberta, Canada, 1999: 1722-1727.
[10]Kugiumtzis D. State Space Reconstrucrtion Parameters in the Analysis of Chaotic Time Series-the Role of the Time Window Length[J]. Physica D, 1996,114(1):95- 96.
[11]Wiklander K, Holm S. Dispersion Effects in Unreplicated Factorial Designs[J]. Applied Models in Business and Industry, 1999,19( 1 ) : 13-30.
[12]Jin J, Shi J. State Space Modeling of Sheet Metal Assembly for Dimensional Control[J]. Journal of Manufacturing Science and Engineering, 1999, 121 (7) :756-762.
[13]Yu Ding, Ceglarek D, Shi Jianjun. Design Evalua- tion of Multi-station Assembly Process by Using State Space Approach[J]. Journal of Mechanical Design, 2002, 124(3):408-418.
[14]涂苯生,董达生,杨永.多变量线性控制系统(状态空间方法)[M].北京:煤炭工业出版社,1988.
[15]Zhang G. Simultaneous Tolerancing for Design and Manufacturing [J]. International Journal of Production Research, 1996,34(12) : 3361-3382.
[16]刘润爱.零传动滚齿机关键技术研究与应用 [D].重庆大学,2006:
[17]Reynolds J, Marion R. Multivariate Control Charts for Monitoring the Mean Vector and Covar- lance Matrix[J]. Journal of Quality Technology, 2004, 38(3) :230-253.
[18]黄强[1],张根保[2],任显林[2].基于几何误差源互补偿的机床公差设计及其应用[J].中国机械工程,2010(5):580-584.