CLC number: TH161
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2015-04-13
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Philipp Ziegler, Sandro Wartzack. A statistical method to identify main contributing tolerances in assemblability studies based on convex hull techniques[J]. Journal of Zhejiang University Science A, 2015, 16(5): 361-370.
@article{title="A statistical method to identify main contributing tolerances in assemblability studies based on convex hull techniques",
author="Philipp Ziegler, Sandro Wartzack",
journal="Journal of Zhejiang University Science A",
volume="16",
number="5",
pages="361-370",
year="2015",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1400237"
}
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%T A statistical method to identify main contributing tolerances in assemblability studies based on convex hull techniques
%A Philipp Ziegler
%A Sandro Wartzack
%J Journal of Zhejiang University SCIENCE A
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%P 361-370
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1400237
TY - JOUR
T1 - A statistical method to identify main contributing tolerances in assemblability studies based on convex hull techniques
A1 - Philipp Ziegler
A1 - Sandro Wartzack
J0 - Journal of Zhejiang University Science A
VL - 16
IS - 5
SP - 361
EP - 370
%@ 1673-565X
Y1 - 2015
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1400237
Abstract: In tolerancing, it is important to obtain recommendations from tolerance simulation results for optimizing tolerance values or the tolerance scheme. For this purpose, sensitivity analysis identifies the importance of single input parameters for received simulation results. This paper presents a method to adopt global sensitivity analysis methods on convex hull based tolerancing techniques, such as deviation domains. The focus of this paper lies on assemblability studies, in which the simulation output is a clearance. A method to estimate the influence of single part tolerances on the assembly clearance is proposed and performed for a pin-hole connection.
[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]Beaucaire, P., Gayton, N., Duc, E., et al., 2013. Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods. Computer-Aided Design, 45(12):1547-1555.
[3]Borgonovo, E., 2007. A new uncertainty importance measure. Reliability Engineering & System Safety, 92(6):771-784.
[4]Cukier, R.I., Fortuin, C.M., Shuler, K.E., et al., 1973. Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. I theory. The Journal of Chemical Physics, 59(8):3873-3878.
[5]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.
[6]Giordano, M., Pairel, E., Samper, S., 1999. Mathematical representation of tolerance zones. Proceedings of the 6th CIRP International Seminar on Computer-Aided Tolerancing, Enschede, the Netherlands.
[7]Khan, N.S., Shah, J.J., Davidson, J.K., 2010. Probability tolerance maps: a new statistical model for non linear tolerance analysis applied to rectangular faces. ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, p.529-548.
[8]Lemaitre, P., Sergienko, E., Arnaud, A., et al., 2015. Density modification based reliability sensitivity analysis. Journal of Statistical Computation and Simulation, 85(6):1200-1223.
[9]Mansuy, M., Giordano, M., Davidson, J.K., 2013. Comparison of two similar mathematical models for tolerance analysis: T-Map and deviation domain. Journal of Mechanical Design, 135(10):101008.
[10]McKay, M.D., Beckman, R.J., Conover, W.J., 1979. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics, 21(2):239-245.
[11]Roustant, O., 2013. Derivative-based global sensitivity measures for interactions. 7th International Conference on Sensitivity Analysis of Model Output, Nice, France.
[12]Roy, U., Li, B., 1999. Representation and interpretation of geometric tolerances for polyhedral objects. II. Size, orientation and position tolerances. Computer-Aided Design, 31(4):273-285.
[13]Saltelli, A., Ratto, M., Andres, T., et al., 2008. Global Sensitivity Analysis: the Primer. John Wiley & Sons, West Sussex, England.
[14]Schleich, B., Wartzack, S., 2013. How to determine the influence of geometric deviations on elastic deformations and the structural performance? Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 227(5):754-764.
[15]Sobol’, I.M., 1993. Sensitivity analysis for non-linear mathematical models. Mathematical Modelling and Computational Experiment, 1:407-414.
[16]Sobol’, I.M., 1994. A Primer for the Monte Carlo Method. CRC Press, Boca Rato, Florida, USA.
[17]Stuppy, J., Meerkamm, H., 2009. Tolerance analysis of a crank mechanism by taking into account different kinds of deviation. Proceedings of the 11th CIRP International Conference on Computer Aided Tolerancing, Annecy, France.
[18]Walter, M., Spruegel, T., Wartzack, S., 2013. Tolerance analysis of systems in motion taking into account interactions between deviations. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 227(5):709-719.
[19]Weibel, C., 2007. Minkowski Sums of Polytopes: Combinatorics and Computation. PhD Thesis, EPFL Lausanne, Suisse.
[20]Ziegler, P., Wartzack, S., 2013. A quality measure for comparing different feature deviations to perform sensitivity analysis in tolerancing. 7th International Conference on Sensitivity Analysis of Model Output, Nice, France.
[21]Ziegler, P., Wartzack, S., 2015. Sensitivity analysis of features in tolerancing based on constraint function level sets. Reliability Engineering & System Safety, 134:324-333.
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