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TECHNICAL PAPERS

Approximate Velocities in 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 Steet S.E., University of Minnesota, Minneapolis, MN 55455

J. Mech. Des 123(3), 388-394 (Sep 01, 1999) (7 pages) doi:10.1115/1.1370978 History: Received September 01, 1999
Copyright © 2001 by ASME
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References

Holte,  J. E., Chase,  T. R., and Erdman,  A. G., 2000, “Mixed Exact-Approximate Position Synthesis of Planar Mechanisms,” ASME J. Mech. Des., 122, No. 3, pp. 287–293.
Ahn, S., 1993, “Optimization Enhanced Synthesis of Planar Four-Bar Motion Generation Linkages,” University of Minnesota, Ph.D. Thesis.
Johnson, L. G., 1995, “Complex-Number Based Multiply Separated Precision Position Synthesis of Planar Linkages,” M. S. Thesis, University of Minnesota.
Tesar,  D., 1968, “The Generalized Concept of Four Multiply Separated Positions in Coplanar Motion,” J. Mec., 3, No. 21, pp. 11–23.
Tesar,  D., and Eschenbach,  P. W., 1967, “Four Multiply Separated Positions in Coplanar Motion,” ASME J. Eng. Ind., 89, Series B, No. 2, pp. 231–234.
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.
James,  P. A., and Roth,  B., 1994, “A Unified Theory for Kinematic Synthesis,” ASME J. Mech. Des., 116, No. 1, pp. 144–154.
Tesar,  D., 1967, “The Generalized Concept of Three Multiply Separated Positions in Coplanar Motion,” J. Mec., 2, pp. 461–474.
Schaefer,  R. S., and Kramer,  S. N., 1979, “Selective Precision Synthesis of Planar Mechanisms Satisfying Position and Velocity Constraints,” Mech. Mach. Theory, 14, No. 3, pp. 161–170.
Chidambaran, C., and Erdman, A. G., 1999, “LINCAGES 2000 Mechanism Design Software,” Proceedings of the Applied Mechanisms and Robotics Conference, Cincinnati, OH, December 13–15, 1999.
Erdman, A. G., and Sandor, G. N., 1997, Mechanism Design Analysis and Synthesis, Volume, 1, Third Edition, Prentice Hall, Englewood Cliffs, NJ, p. 539.
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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Dyad A with velocity specified at PP1
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Approximate velocity notation
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Ground pivot solution map for the first dyad
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Typical plot of ρ versus θv for a given dyad
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Typical plot of β2 versus θv for the second dyad of a velocity problem
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Ground pivot solution map for the second dyad given dyad A: A0=(25.5,15.0),β21=0.92π
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Design objectives for hot-liquid dispenser
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Using multiple approximate positions to direct velocity at PP1
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Modified notation for the P-PP problem

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