Performance Quality and Tolerance Sensitivity of Mechanisms

Journal of Mechanical Design, Transactions Of the ASME - Tập 118 Số 1 - Trang 144-150 - 1996
Kwun-Lon Ting1, Yufeng Long1
1Department of Mechanical Engineering,#N#Tennessee Technological University,#N#Cookeville, TN 38505

Tóm tắt

This paper presents a general theory to determine the sensitivity of tolerances to the performance quality of mechanisms and a technique to identify a robust design, which is the least sensitive to the tolerances. The method is demonstrated in position synthesis of linkages. The sensitivity Jacobian is first introduced to relate the performance tolerances and the dimensional tolerances. The Rayleigh quotient of the sensitivity Jacobian, which is equivalent to Taguchi’s signal to noise ratio, is then used to define the performance quality and a sensitivity index is introduced to measure the sensitivity of the performance quality to the dimensional tolerances for the whole system. The ideal tolerance distribution is obtained in closed form. It shows how the tolerance specification affects the performance quality and that the performance quality can be significantly improved by tightening a key tolerance while loosening the others. The theory is general and the technique can be adapted easily for other mechanical systems, including multiple-loop linkages.

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Tài liệu tham khảo

Angeles J. , 1992, “The Design of Isotropic Manipulator Architectures in the Presence of Redundancies,” The International Journal Of Robotics Research, Vol. 11, pp. 196–201.

Angeles J. , and Ma.O., 1991, “Performance Evaluation of Four-bar Linkages For Rigid-Body Guidance Based on Generalized Coupler Curves,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 113, pp. 17–24.

Benhabib B. , FentonR. G., and GoldensbergA. A., 1987, “Computer-aided Joint Error Analysis of Robots,” IEEE Journal of Robotics and Automation, Vol. RA-3, No. 4, pp. 317–322.

Benner, M. M., and Erdman, A. G., 1992, “Tolerance Synthesis Method for an Industrial Crank-Rocker Application,” ASME DE-Vol. 46, pp. 463–473.

Bert Bras and Farrokh Mistree , 1993, “A Compromise Decision Support Problem For Axiomatic and Robust Design,” Advances in Design Automation, DE-Vol. 65–1, pp. 359–366.

Cheng, H., and Gupta, K. C., 1988, “Design of Mechanisms via Constrained Least-squares Method and its Variants,” ASME DE Vol. 15–1, pp. 305–315.

Chakraborthy J. , 1975, “Synthesis of Mechanical Error in Linkages,” Mechanisms and Machine Theory, Vol. 10 No. 1, pp. 155–165.

Chase K. W. , and GreenwoodW. H., 1988, “Design Issues in Mechanical Tolerance Analysis,” ASME Manufacturing Review, Vol. 1, No. 1, pp. 50–59.

Chase, K. W., and Sorensen C. D., 1989, “Recent Developments in Tolerance Analysis Software for Mechanical Assemblies, Part A: Two-Dimensional Modeling,” Proceedings of the ASQC Western Regional Conference, pp. 73–80.

Cleghorn, W. L., Fenton, R. G., and Fu, J. F., 1988, “Optimum Tolerancing of Planar Mechanisms Based on An Error Sensitivity Analysis,” Trends and Developments in Mechanisms, Machines, and Robotics, pp. 209–215.

Cheng Hui , and GuptaK. C., 1988, “Design of Mechanisms Via Constrained Least-Squares Method and Its Variants,” ASME JOURNAL OF MECHANISMS, TRANSMISSIONS AND AUTOMATION IN DESIGN, Vol. 110, pp. 429–434.

Craig, J. J., 1989, Introduction to Robotics: Mechanics and Control, Second Edition, Addison Wesley.

Dhande S. G. , and ChakrabortyJ., 1973, “Analysis and Synthesis of Mechanical Errors in Linkages-A Stochastic Approach,” ASME JOURNAL OF ENGINEERING FOR INDUSTRY, Vol. 95, pp. 672–676.

Dhande S. G. , and ChakrabortyJ., 1978, “Mechanical Error Analysis of Spatial Linkages,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 100, pp. 732–738.

Dubowsky S. , 1974, “On Predicting the Effects of Clearances in Planar Mechanisms,” ASME JOURNAL OF ENGINEERING FOR INDUSTRY, Vol. 95, Series B, No. 1, pp. 609–615.

Faik S. , and ErdmanA. G., 1991, “Sensitivity Distribution in Synthesis Solution Space of Four-bar Linkages,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 113, pp. 3–9.

Fenton R. G. , CleghornW. L., and FuJ. F., 1989, “Allocation of Dimensional Tolerances for Multiple Loop Mechanisms,” ASME JOURNAL OF MECHANISMS, TRANSMISSIONS, AND AUTOMATION IN DESIGN, Vol. 111, pp. 465–470.

Forsythe, G. E., Malcolm, M. M., and Moler, C. B., 1977, Computer Methods for Mathematic Computations, Prentice Hall, Englewood Cliffs, NJ.

Golub, G., and Van Loan, C. F., 1983, Matrix Computations, Johns Hopkins University Press.

Gosselin C. , and AngelesJ., 1991, “A Global Performance Index for the Kinematic Optimization of Robotic Manipulators,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 113, pp. 220–226.

James, P. A., and Roth, B., 1990, “Unified Theory for Finite, Infinitesimal, and Hybrid Kinematic Synthesis,” ASME DE Vol. 25, pp. 461–469.

Klein C. A. , and BlahoB. E., 1987, “Dexterity Measures for the Design and Control of Kinematically Redundant Manipulators,” The International Journal Of Robotics Research, Vol. 6, pp. 72–83.

Klema V. C. , and LaubA. J., 1980, “The Singular Value Decomposition, Its Computation and Some Applications,” IEEE Transactions on Automatic Control, Vol. 25, pp. 164–176.

Lancaster, P., 1969, Theory of Matrices, Academic Press, Inc., New York.

Lee M. , ErdmanA. G., and FaikS., 1992, “A Generalized Performance Sensitivity Synthesis Methodology for Four-bar Mechanisms,” Mechanical Design and Synthesis, DE-Vol. 46, pp. 1–4.

Lee S. J. , and GilmoreB. J., 1991, “The Determination of the Probabilistic Properties of Velocities and Accelerations in Kinematic Chains with Uncertainty,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 113, pp. 84–90.

Long, Y., 1991, “On the Minimum Errors of Mechanisms and the Optimum Tolerances of Structural Parameters,” Chinese Journal of Mechanical Engineering, No. 3, pp. 45–49.

Long Y. , and LuJ. Q., 1993, “On the Optimum Tolerances of Structural Parameters and Kinematic Parameters of Robot Manipulators,” Mechanisms and Machine Theory, Vol. 28, No. 6, pp. 819–824.

Mahableshwarkar S. V. , and KramerS. N., 1990, “Sensitivity Analysis of the Burmester Equations of Planar Motion,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 112, pp. 299–306.

Mistree F. , MusterD., Srinivasan, and MudaliS., 1990a, “Design of Linkages: A Conceptual Exercise in Designing for Concept,” Mechanism and Machine Theory, Vol. 25, No. 3, pp. 273–286.

Nahvi, F., and Midha, A., 1988, “Approximate Circular and Straight-line Path Generation with High Performance Function-Generating Linkages,” ASME DE-Vol. 15-1, pp. 379–387.

Sabada S. , SrinivasanU., KinzelG. L., and WaldronK. J., 1988, “Automatic Synthesis of Four-bar Mechanisms for Four-position Motion Generation,” ASME DE-Vol. 15-2, pp. 121–128.

Salisbury J. K. , and CraigJ. J., 1982, “Articulated Hands: Force Control and Kinematic Issues,” The International Journal Of Robotics Research, Vol. 1, pp. 4–17.

Sandor, G. N., and Erdman, A. G., 1984, Advanced Mechanisms Design: Analysis and Synthesis, Vol. 2, Prentice-Hall, INC., Englewood Cliffs, New Jersey.

Soni A. H. , MohammadH. F., and WengY., 1988, “Automated Procedure for Intelligent Mechanism Selection and Dimensional Synthesis,” ASME JOURNAL OF MECHANISMS, TRANSMISSIONS, AND AUTOMATION IN DESIGN, Vol. 110, pp. 130–137.

Sutherland G. H. , and RothB., 1975, “Mechanism Design: Accounting for Manufacturing Tolerances and Costs in Function Generating Problems,” ASME JOURNAL OF ENGINEERING FOR INDUSTRY, Vol. 97, No. 1, pp. 283–286.

Tesar, D., and Sparks, J. W., 1968, “Multiply Separated Position Synthesis,” ASME paper No. 68-MECH-66.

Tucker M. , 1987, “Generalized Inverse for Robotic Manipulators,” Mechanisms and Machine Theory, Vol. 2, pp. 211–215.

Venkataraman, S. C, Kinzel, G. L., and Waldron, K. J., 1992, “Optimal Synthesis of Four-bar Linkages for Four-position Rigid-body Guidance with Selective Tolerance Specifications,” DE-Vol. 46, pp. 651–659.

Waldron, K. J., and Kumar, A., 1979, “Development of a Theory of Errors for Manipulators,” ASME Proceedings of 5th World Congress of Theory of Machines and Mechanisms, pp. 821–826.

Wang H. H. S. , and RothB., 1989, “Position Errors Due to Clearances In Journal Bearings,” ASME JOURNAL OF MECHANISMS, TRANSMISSIONS, AND AUTOMATION IN DESIGN, Vol. 111, pp. 315–320.

Wu F. , and LankaraniH. M., 1992, “A New Parameter for Transmission Quality and Output Sensitivity Analysis of Mechanisms,” ASME Mechanical Design and Synthesis, DE-Vol. 46, pp. 103–109.

Wu Z. , ElmaraghyW. H., and ElmaraghyH. A., 1988, “Evaluation of Cost-tolerance Algorithms for Design Tolerance Analysis and Synthesis,” Manufacturing Review, Vol. 1, No. 3, pp. 168–179.

Yoshihiko, N., 1991, Advanced Robotics: Redundancy and Optimization, Addison Wesley.

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Thông tin xuất bản

Journal of Mechanical Design, Transactions Of the ASME

Tập 118 Số 1

144-150

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