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TECHNICAL PAPERS

Performance Distribution Analysis and Robust Design

[+] Author and Article Information
Jianmin Zhu

GM Ovonic, 1334 Maplelawn Dr., Troy, MI 48084e-mail: jianminz@hotmail.com

Kwun-Lon Ting

Center for Manufacturing Research, Tennessee Technological University, Cookeville, TN 38505e-mail: kting@tntech.edu

J. Mech. Des 123(1), 11-17 (Feb 01, 2000) (7 pages) doi:10.1115/1.1333095 History: Received February 01, 2000
Copyright © 2001 by ASME
Topics: Design
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References

Hartenberg, R. S., and Denavit, J., 1964, Kinematic Synthesis of Linkages, McGraw-Hill, New York, pp. 316–319.
Knappe, L. G., 1963, “Mechanism Tolerances,” Mach. Des., April, pp. 155–157.
Kolhatkar,  S. A., and Yajnik,  K. S., 1969, “The Effects of Play in the Joints of a Function-Generating Mechanism,” J. Mec., 5, pp. 521–532.
Yin, Z. W., and Wu, J. K., 1990, “An Optimal Synthesis of Linkages Considering Structural Error and Clearances,” ASME, Mechanism Synthesis and Analysis, DE-Vol. 25, pp. 295–299.
Lee,  S. J., and Gilmore,  B. J., 1991, “The Determination of the Probabilistic Properties of Velocities and Accelerations in Kinematic Chains with Uncertainty,” ASME J. Mech. Des., 113, pp. 84–90.
Sutherland,  G. H., and Roth,  B., 1975, “Mechanism Design: Accounting for Manufacturing Tolerances and Costs in Function Generating,” ASME J. Eng. Ind., 97, No. 1, pp. 283–286.
Shankar, C. V, Gary, L. K., and Waldron, K. J., 1992, “Optimal Synthesis of Four-Bar Linkages for Four-Position Rigid-Body Guidance with Selective Tolerance Specifications,” ASME DE-Vol. 46, pp. 651–659.
Faik,  S., and Erdman,  A. G., 1991, “Sensitivity Distribution in Synthesis Space of Four-bar Linkages,” ASME J. Mech. Des., 113, pp. 3–9.
Lee, M., Erdman, A. G., and Faik, S., 1992, “A Generalized Performance Sensitivity Synthesis Methodology for Four-bar Mechanisms,” Mechanical Design and Synthesis, DE-Vol. 46, pp. 1–4.
Parkinson,  A., 1995, “Robust Mechanical Design Using Engineering Models,” ASME J. Mech. Des., 117, pp. 48–54.
Zhu, J., 1999, “Robust Design, Optimal Tolerance Synthesis and Performance Analysis,” doctorate dissertation, Tennessee Technological University, Cookeville, TN.
Hogg, R. V., and Craig, A. T., 1970, Introduction to Mathematical Statistics, 4th Ed., Macmillan, New York.
Sandor, G. N., and Erdman, A. G., 1984, Advanced Mechanism Design: Analysis and Synthesis, Prentice-Hall, Englewood Cliffs, New Jersey.
Anderson, T. W., 1984, An Introduction to Multivariate Statistical Analysis, 2nd Ed., Wiley, New York.

Figures

Grahic Jump Location
Sensitivity distribution of performance (n=3)
Grahic Jump Location
An elliptical cylindroid (n=3)
Grahic Jump Location
Tolerance space and feasible space for n=2
Grahic Jump Location
Two feasible spaces with the same size but different orientations. (a) Reduced tolerance space Sta can cover more feasible space Sfa so the design is robust. (b) Reduced tolerance space Stb can cover less feasible space Stb, so the design is not robust.
Grahic Jump Location
Rigid body guidance of four bar linkage
Grahic Jump Location
Tolerance-Yield relation

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