Design Optimization for the Robustness of Dimensional Tolerance by Using Evidence Theory

Abstract:

The design optimization of tolerance is researched to improve the robustness of plane dimension chain. The nonlinear functional relationship between the closed loop and the component loops of a dimension chain is formulated. The tolerances of component loops are regarded as design variables. The total manufacturing costs of the component loops and the success rate of assembly of the closed loop are treated as constraint conditions. Then, a robust design optimization model is established to minimize the variance of the closed loop and to make the mean value of the closed loop approach to target value. The evidence theory is used to deal with the constraint condition on the success rate of assembly. The dimension chain of a gear box is taken as an example to illustrate the proposed method and the example shows that the proposed method is effective.

• Periodical: Applied Mechanics and Materials (Volume 483)
• Pages: 434-437
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.483.434
• Online since: December 2013
• Authors: Hui Xin Guo*
• Keywords: Design Optimization, Evidence Theory, Plane Dimension Chain, Robust Design, Tolerance Design

References

[1] Taguchi G. Introduction to Quality Engineering: Designing Quality into Products and Processes. Tokyo: Asian Productivity Organization (1986).

[2] Guo Huixin. Fuzzy Robust Optimization of Discrete Tolerance Based on Improved Genetic Algorithm. Journal of Machine Design. Vol. 23, July (2006), pp.37-39.

[3] Huang Hongzhong, Liu Hongli, Gu Yingkui, Zhang Xu. Fuzzy Robust Design Optimization Based on Physical Programming. Journal of Tsinghua University (Science and Technology), Vol. 45, August (2005), pp.1020-022.

[4] Shafer G. A Mathematical Theory of Evidence. Princeton: Princeton University Press (1976).

[5] Huixin Guo, Shiming Hao, Puhua Tang. Reliability-based Design Optimization of Full-floating Automobile Semiaxle Using Evidence Theory. In: The Proceedings of 2010 International Conference on Intelligent Computation Technology and Automation, Vol. 2, (2010).

DOI: 10.1109/icicta.2010.190

[6] Dempster A. P. Upper and Lower Probabilities Induced by a Multivalued Mapping, The Annals of Mathematical Statistics, Vol. 38, February (1967), p.325–339.

DOI: 10.1214/aoms/1177698950

[7] Guo Huixin, Liu Deshun, Hu Guanyu, Liang Liang. Method of Reliability Design Optimization Using Evidence Theory and Interval Analysis. Chinese Journal of Mechanical Engineering, Vol. 44, December (2008), pp.35-41.

DOI: 10.3901/jme.2008.12.035

[8] Guo Huixin, Hu Guanyu and Tan Feng. Evidence Theory-based Method and Algorithm for Calculation of Reliability. Transactions of the Chinese Society for Agricultural Machinery, Vol. 39, May (2008), pp.128-132.