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TECHNICAL PAPERS

Mixed Exact-Approximate Position Synthesis of Planar Mechanisms

[+] Author and Article Information
Jennifer E. Holte, Thomas R. Chase, Arthur G. Erdman

Mechanical Engineering Department, 111 Church Street S.E., University of Minnesota, Minneapolis, MN 55455

J. Mech. Des 122(3), 278-286 (Nov 01, 1998) (9 pages) doi:10.1115/1.1287499 History: Received November 01, 1998
Copyright © 2000 by ASME
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References

Sandor, G. N., and Erdman, A. G., 1984, Mechanism Design Analysis and synthesis, Volume 2, Prentice Hall, Englewood Cliffs, NJ, pp. 184–188, 251–263.
Erdman, A. G., and Gustafson, J. E., 1977, “LINCAGES: Linkage Interactive Computer Analysis and Graphically Enhanced Synthesis Package,” ASME Paper No. 77-DET-5.
Rubel,  A. J., and Kaufman,  R. E., 1977, “KINSYN III: A New Human-Engineered System for Interactive Computer Aided Design of Planar Linkages,” J. Eng. Ind., 99, No. 2, pp. 440–448.
Ruth,  D. A., and McCarthy,  J. M., 1999, “The Design of Spherical 4R Linkages for Four Specified Orientations,” Mech. Mach. Theory, 34, No. 5, pp. 677–792.
Erdman,  A. G., and Chase,  T. R., 1985, “New Software Synthesizes Complex Mechanisms,” Mach. Des., 57, No. 19, August 22, pp. 107–113.
Sandor, G. N., 1959, “A General Complex-Number Method for Planar Kinematic Synthesis with Applications,” Ph.D. thesis, Columbia University.
Sutherland,  G. H., 1977, “Mixed Exact-Approximate Planar Mechanism Position Synthesis,” J. Eng. Ind., 99, Series B, No. 2, pp. 434–439.
Gold, C. H., and Derby, S. J., 1992, “The Optimal Design of Mechanisms Employing a Synthesis Based Merit Function,” Mechanical Design and Synthesis, Proceedings from the ASME 1992 Design Technical Conferences, Scottsdale, AZ, Sept. 13–16., DE-Vol. 46, pp. 621–631.
Ahn, S., 1993, “Optimization Enhanced Synthesis of Planar Four-Bar Motion Generation Linkages,” University of Minnesota, Ph.D. thesis.
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,” Mechanical Design and Synthesis, Proceedings from the ASME 1992 Design Technical Conferences, Scottsdale, AZ, Sept. 13–16, DE-Vol. 46, pp. 651–659.
Sabada, S., Srinivasan, U., Kinzel, G. L., and Waldron, K. J., 1988, “Automatic Synthesis of Four-Bar Mechanisms for Four-Position Motion Generation,” Trends and Developments in Mechanisms, Machines and Robotics, Proceedings of the 1988 ASME Design Technology Conferences, Kissimmee, FL, Sept. 25–28, DE-Vol. 15–2, pp. 121–128.
Mirth, J. A., 1994, “The Synthesis of Planar Linkages to Satisfy an Approximate Motion Specification,” Design Theory and Methodology, Proceedings from the 1993 ASME Design Technical Conferences, Albuquerque, NM, Sept. 19–22, DE-Vol. 53, pp. 65–71.
Mirth, J. A., 1995, “Four-Bar Linkage Synthesis for Two Precision Positions Combined With N Quasi-Positions,” Proceedings from the 1995 ASME Design Engineering Technical Conferences, Boston, MA, Sept. 17–21.
Mirth, J. A., 1996, “Two Precision Positions Synthesis of Planar Linkages With Positional Rectification,” Proceedings from the 1996 Design Engineering Technical Conferences, Irvine, CA, Aug. 18–22.
Kramer,  S. N., and Sandor,  G. N., 1975, “Selective Precision Synthesis - A General Method of Optimization for Planar Mechanisms,” J. Eng. Ind., 97, Series B, No. 2, pp. 689–701.
Kramer,  S. N., 1979, “Selective Precision Synthesis of the Four-Bar Motion Generator With Prescribed Input Timing,” ASME J. Mech. Des., 101, No. 4, pp. 614–618.
Krishna, K. M., Krishnamurthi, S., and Kramer, S. N., 1994, “Application of Fuzzy Set Theory to Planar and Spatial Mechanisms Design,” Mechanism Synthesis and Analysis, Proceedings from the ASME 1994 Design Technical Conferences, Minneapolis MN, Sept. 11–14 DE-Vol. 70, pp. 153–159.
Erdman, A. G., and Sandor, G. N., 1997, Mechanism Design Analysis and Synthesis, Volume I. Third Edition, Prentice Hall, Englewood Cliffs, NJ, pp. 524–525, 568–571.
Loerch, R. J., Erdman, A. G., Sandor, G. N., and Midha, A., 1975, “Synthesis of Four-Bar Linkages With Specified Ground Pivots,” Proceedings of the 4th Applied Mechanisms Conference, Chicago, November 1975, Stillwater, Oklahoma: Oklahoma State University, pp. 10.1–10.6.
Holte, J. E., 1996, “Two Precision Position Synthesis of Planar Mechanisms with Approximate Position and Velocity Constraints,” Ph.D. thesis, University of Minnesota.

Figures

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Two configurations of dyad, WA+ZA
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Example β2 vs. αAPj curve
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Reduction of Approximate position region by WA+ZA
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Limit positions for αAPj
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Inverted dyad A at extreme positions of θ for a fixed αAPj
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Final hot-liquid dispenser mechanism
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Variation of ψAPj from nominal for a given radius RAPj
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3-D Surface plot of β2 values vs. RAPj and αAPj
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β2 Vs. αAP2 with repeated β2 values
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Design positions for hot-liquid dispenser
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Ground-pivot map for the first dyad
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Ground-pivot map for the second dyad
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Approximate position notation relative to ground pivot

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