The Application of a Robust Design Method to Tolerancing

[+] Author and Article Information
D. B. Parkinson

Department of Engineering, University of Liverpool, Liverpool, U.K.

J. Mech. Des 122(2), 149-154 (Mar 01, 2000) (6 pages) doi:10.1115/1.533564 History: Received June 01, 1998; Revised March 01, 2000
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Gladman, C. A., 1959, “Techniques for Applying Probability to the Tolerancing of Machined Dimensions,” CSIRO, Australian National Standards Laboratory, Technical Paper II, pp. 1–5.
Mansoor,  E. M., 1963, “The Application of Probability to Tolerances Used in Engineering Design,” Proc. Inst. Mech. Eng. 178, No. 1, pp. 29–51.
Pheil,  G. D., 1957, “Probability Applied to Assembly Fits,” Prod. Eng., 28, No. 21, p. 88.
Parkinson,  D. B., 1982, “The Application of Reliability Methods to Tolerancing,” ASME J. Mech. Des., 104, pp. 612–618.
Parkinson,  D. B., 1984, “Tolerancing of Component Dimensions in CAD,” Computer-Aided Des., 16, No. 1, pp. 25–32.
Parkinson,  D. B., 1985, “Assessment and Optimization of Dimensional Tolerances,” Computer-Aided Des., 17, No. 4, pp. 191–199.
Parkinson,  D. B., 1987, “Control and Optimization of Variability,” Reliab. Eng., 19, pp. 211–236.
Parkinson,  D. B., 1993, “Quality Based Design by Probability Optimization,” Quality Reliab. Eng. Int., 9, pp. 29–37.
Requicha,  A., 1983, “Towards a Theory of Geometric Tolerancing,” Int J. Robo. Res., 2, No. 4, pp 45–60.
Srinivasan, R., and Word, K., 1992, “A Computational Investigation Into Structure of Form and Size Errors Based on Machining Mechanics,” Proc. Advances in Design Automation Conf., Scottsdale, AZ, pp. 161–171.
Smith, B., 1993, “Six Sigma Design,” IEEE Spect., pp. 43–47.
Vasseur,  H., Kurfess,  T. R., and Cagan,  J., 1997, “Use of a Quality Loss Function to Select Statistical Tolerances,” ASME J. Manuf. Sci. Eng., 119, pp. 410–416.
Bjorke, O., Computer-Aided Tolerancing 1989, 2nd ed., ASME, NY.
Cagan, J., and Kurfess, T. R., 1992, “Optimal Tolerance Allocation Over Multiple Manufacturing Alternatives,” Proc. Advances in Design Automation Conf., Phoenix, AZ, pp. 165–172.
Nigan,  S. D., and Turner,  J. U., 1995, “Review of Statistical Approaches to Tolerance Analysis,” Computer-Aided Des., 27, No. 1, pp. 6–15.
D’Errico,  J. R., and Zaino,  N. A., 1988, “Statistical Tolerancing Using a Modification of Taguchi’s Method,” Technometrics, 30, No. 4, pp. 397–405.
Jeang,  A., 1997, “An Approach of Tolerance Design for Quality Improvement and Cost Reduction,” Int. J. Prod. Res., 35, No. 5, pp. 1193–1211.
Chen,  M.-S., 1995, “Optimizing Tolerance Allocation for a Mechanical Assembly, With Non-linear Multiple Constraints,” J. Chinese Soc. of Mech. Eng., 16, No. 4, pp. 349–361.
Gadallah, M. H., and El Maraghy, H. A., 1994, “The Tolerance Optimization Problem, Using a System of Experimental Design,” ASME, DE-Vol 69- Advances in Design Automation –1994. 1 , pp. 251–265.
Lee,  J., and Johnson,  G. E., 1993, “Optimal Tolerance Allotment Using a Genetic Algorithm and Truncated Monte-Carlo Simulation,” Computer-Aided Des., 25, No. 9, pp. 601–611.
Skowronski,  J., and Turner,  J. U., 1997, “Using Monte-Carlo Variance Reduction in Statistical Tolerance Synthesis,” Computer-Aided Des., 29, No. 1, pp. 63–69.
Otto,  K. N., and Antonsson,  E. K., 1993, “Extensions to the Taguchi Method of Product Design,” ASME J. Mech. Des., 115, pp. 5–13.
Belegundu,  A. D., and Zhang,  S., 1992, “Robustness of Design Through Minimum Sensitivity,” ASME J. Mech. Des., 114, pp. 213–217.
Iyer,  R. K., and Downs,  T., 1980, “A Variance Minimization Approach to Tolerance Design,” IEEE. Trans. Circuits Syst., 27, pp. 737–747.
Shenoi,  B. A., 1974, “Optimum Variability Design and Comparative Evaluation of Thin Film RC Active Filters,” IEEE Trans. Circuits. Syst., 211, pp. 263–267.
Ilumoka, A., Spence, R., and Soin, R. S., 1980, “The Tolerance Design of Circuits by Statistical Exploration,” Proc. 1980 IEEE ISCAS, Houston, pp. 882–885.
Ilumoka,  A., and Spence,  R., 1988, “Parametric Tolerance Design for Electrical Circuits,” Quality Reliab. Eng. Int., 4, pp. 87–94.
Parkinson,  D. B., 1997, “Robust Design by Variability Optimization,” Quality Reliab. Eng. Int., 13, pp. 97–102.
Logothetis,  N., and Haigh,  A., 1988, “Characterising and Optimizing Multi-response Processes by the Taguchi Method,” Quality Reliab. Eng. Int., 4, pp. 159–169.
Parkinson,  D. B., 1998, “Simulated Variance Optimization for Robust Design,” Quality Reliab. Eng. Int., 14, pp. 15–21.
Greig, D. M., 1980, Optimization, Longman, pp. 63–64.
Bertsekas, D. P., 1982, Constrained Optimization and Lagrange Multiplier Methods, Academic, pp. 104–165.


Grahic Jump Location
The ten toleranced dimensions used in the analysis




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In