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CLC number: TH161

On-line Access: 2015-05-04

Received: 2014-07-25

Revision Accepted: 2014-10-19

Crosschecked: 2015-04-13

Cited: 0

Clicked: 3813

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Antoine Dumas

http://orcid.org/0000-0002-7414-896X

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Journal of Zhejiang University SCIENCE A 2015 Vol.16 No.5 P.353-360

http://doi.org/10.1631/jzus.A1400221


An iterative statistical tolerance analysis procedure to deal with linearized behavior models


Author(s):  Antoine Dumas, Jean-Yves Dantan, Nicolas Gayton, Thomas Bles, Robin Loebl

Affiliation(s):  Laboratoire Conception Fabrication Commande, Arts et Métiers ParisTech Metz, METZ CEDEX 3 57078, France; more

Corresponding email(s):   antoine.dumas@ensam.eu

Key Words:  Tolerance analysis, Probability of failure, Linearization of behavior model, Optimization, Monte Carlo simulation


Antoine Dumas, Jean-Yves Dantan, Nicolas Gayton, Thomas Bles, Robin Loebl. An iterative statistical tolerance analysis procedure to deal with linearized behavior models[J]. Journal of Zhejiang University Science A, 2015, 16(5): 353-360.

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Abstract: 
tolerance analysis consists of analyzing the impact of variations on the mechanism behavior due to the manufacturing process. The goal is to predict its quality level at the design stage. The technique involves computing probabilities of failure of the mechanism in a mass production process. The various analysis methods have to consider the component’s variations as random variables and the worst configuration of gaps for over-constrained systems. This consideration varies in function by the type of mechanism behavior and is realized by an optimization scheme combined with a monte Carlo simulation. To simplify the optimization step, it is necessary to linearize the mechanism behavior into several parts. This study aims at analyzing the impact of the linearization strategy on the probability of failure estimation; a highly over-constrained mechanism with two pins and five cotters is used as an illustration for this study. The purpose is to strike a balance among model error caused by the linearization, computing time, and result accuracy. In addition, an iterative procedure is proposed for the assembly requirement to provide accurate results without using the entire monte Carlo simulation.

This paper proposed a feasible linearization method for hyperstatic mechanism. An iterative procedure is also proposed for the assembly requirement to balance the factors of linearization, computing time and result accuracy. The theoretical method and application of this method on the electrical connector is convincing.

线性化行为模型的迭代统计公差分析

目的:分析由制造过程产生的变化对机构行为造成的影响。主要分析线性化方法对失败率估计的影响,从而平衡模型线性化造成的误差、计算时间和结果准确性。
创新点:简化优化步骤,将机构行为线性化为几个部分,取代整体蒙特卡洛法,并采用一种迭代算法得到更加精确的结果。
方法:1.采用带有非线性约束条件的几何线性化方法和基于失败率置信区间的算法(图3、4和5);2.以一个器件连接器为例,验证该算法在估计装配失败率上的作用。
结论:1.线性化方法不影响蒙特卡洛仿真时间;2.线性化次数对计算时间和失败率估计准确率有很大影响(表1);3.线性化迭代统计方法相对于蒙特卡洛法在计算时间、计算精度和计算效率上有很大的优越性。

关键词:公差分析;失败率;行为模型线性化;蒙特卡洛线性化

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Ameta, G., Serge, S., Giordano, M., 2011. Comparison of spatial math models for tolerance analysis: tolerance-maps, deviation domain, and TTRS. Journal of Computing and Information Science in Engineering, 11(2):021004.

[2]Ballu, A., Plantec, J.Y., Mathieu, L., 2008. Geometrical reliability of overconstrained mechanisms with gaps. CIRP Annals - Manufacturing Technology, 57(1):159-162.

[3]Bhide, S., Ameta, G., Davidson, J.K., et al., 2005. Tolerance-maps applied to the straightness and orientation of an axis. Models for Computer Aided Tolerancing in Design and Manufacturing: Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, Tempe, Arizona, USA.

[4]Bourdet, P., Clément, A., 1976. Controlling a complex surface with a 3 axis measuring machine. Annals of the CIRP, 25(1):359-361.

[5]Dantan, J.Y., Qureshi, A.J., 2009. Worse case and statistical tolerance analysis based on quantified constraint satisfaction problems and Monte Carlo simulation. Computer-Aided Design, 41(1):1-12.

[6]Dantan, J.Y., Gayton, N., Dumas, A., et al., 2012. Mathematical issues in mechanical tolerance analysis. 13th Colloque National AIP Priméca, Le Mont-Dore, p.12.

[7]Davidson, J.K., Shah, J.J., 2012. Modeling of geometric variations for line-profiles. Journal of Computing and Information Science in Engineering, 12(4):041004.

[8]Davidson, J.K., Mujezinovic, A., Shah, J.J., 2002. A new mathematical model for geometric tolerances as applied to round faces. Journal of Mechanical Design, 124(4):609-622.

[9]Giordano, M., Duret, D., 1993. Clearance space and deviation space: application to three-dimensional chain of dimensions and positions. Proceedings of 3rd CIRP Seminar on Computer-Aided Tolerancing, Eyrolles, Paris, p.179-196.

[10]Giordano, M., Samper, S., Petit, J.P., 2005. Tolerance analysis and synthesis by means of deviation domains, axisymmetric cases. Models for Computer Aided Tolerancing in Design and Manufacturing: Selected Conference Papers from the 9th CIRP International Seminar on Computer-Aided Tolerancing, Tempe, Arizona, USA.

[11]Legoff, O., Tichadou, S., Hascoet, J.Y., 2004. Manufacturing errors modelling: two three-dimensional approaches. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 218(12):1869-1873.

[12]Mansuy, M., Giordano, M., Hernandez, P., 2011. A new calculation method for the worst case tolerance analysis and synthesis in stack-type assemblies. Computer-Aided Design, 43(9):1118-1125.

[13]Mhenni, F., Serré, P., Mlika, A., et al., 2007. Dependency between dimensional deviations in overconstrained mechanisms. Conception et Production Intégrées, 22:4.

[14]Morse, E.P., 2004. Statistical analysis of assemblies having dependent fitting conditions. International Mechanical Engineering Congress and Exposition, p.1-5.

[15]Nigam, S.D., Turner, J.U., 1995. Review of statistical approaches of tolerance analysis. Computer-Aided Design, 27(1):6-15.

[16]Qureshi, A.J., Dantan, J.Y., Sabri, V., et al., 2012. A statistical tolerance analysis approach for over-constrained mechanism based on optimization and Monte Carlo simulation. Computer-Aided Design, 44(2):132-142.

[17]Zou, Z., Morse, E.P., 2003. Applications of the gapspace model for multidimensional mechanical assemblies. Journal of Computing and Information Science in Engineering, 3(1):22-30.

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