A methodology whereby the optimal set of design tolerances is assigned to the dimensions of a general mechanical assembly, is developed and tested. The manufacturing cost is minimized, while the design is constrained to a specified probability of meeting functional requirements, called the yield of the design. An analytical relationship for the assembly yield surface is generally unknown, and use is made of response surface approximations in the optimization algorithm. Yield values are determined at design space points through Monte Carlo simulations, seen as the response surface experiments. The methodology is benchmarked on example problems from the literature, and the optimum compares superior to published results.
Issue Section:
Technical Papers
1.
ASME Y14.5M-1994, [Revision of ANSI Y14.5M-1982 (R1988)], Dimensioning and Tolerancing, ASME, New York.
2.
Lee
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.3.
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4.
Roux, W. J., Stander, N., and Haftka, R. T., 1996, Response Surface Approximations for Structural Optimization, Proceedings of Sixth AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, September 4-6, Hyatt Regency Bellevue, Bellevue, WA.
5.
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6.
Ungerer, C. P., and Jordaan, J. P., 1997, Optimization of Design Tolerances for Cost Effective Manufacturing, Proceedings of The First Optimization in Industry Conference, March 23-27, 1997, Harborside Inn, Palm Coast, Florida.
7.
Jordaan, J. P., 1997, Optimization of Design Tolerances, M. Eng. Thesis, Department of Mechanical and Aeronautical Engineering, University of Pretoria, South Africa.
8.
Arora, J. S., 1989, IDESIGN User’s Manual, Version 3.5.2, Optimal Design Laboratory, College of Engineering, The University of Iowa, Iowa City, Iowa.
9.
Lee
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, “Tolerances: Their Analysis and Synthesis
,” ASME Journal of Engineering for Industry
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.10.
Lee
, J.
, and Johnson
, G. E.
, 1993
, “Optimal Tolerance Allotment Using a Genetic Algorithm and Truncated Monte Carlo Simulation
,” Comput.-Aided Design
, 25
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, pp. 601
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.11.
Iannuzzi, M., and Sandgren, E., 1994, Optimal Tolerancing: The Link Between Design and Manufacturing Productivity, 6th International Conference on Design Theory and Methodology ASME, Design Engineering Division, Vol. 68, pp. 29–42.
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