A new approach to the synthesis of planar linkage mechanisms with fuzzy constraints is proposed. Design methods for two exact positions and an unlimited number of approximate positions are presented. The use of approximate specifications allows the designer to represent design objectives more realistically. A precision position synthesis approach is used to generate a three-dimensional solution space of dyads satisfying all exact and approximate constraints. The three-dimensional solution space is reduced to a two-dimensional ground-pivot map. Computer implementation of the proposed methodologies would allow designers with little or no knowledge of the synthesis techniques to interactively explore maps of solutions for four-bar motion generation. [S1050-0472(00)00803-5]
Issue Section:
Technical Papers
1.
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.
2.
Erdman, A. G., and Gustafson, J. E., 1977, “LINCAGES: Linkage Interactive Computer Analysis and Graphically Enhanced Synthesis Package,” ASME Paper No. 77-DET-5.
3.
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
.4.
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
.5.
Erdman
, A. G.
, and Chase
, T. R.
, 1985
, “New Software Synthesizes Complex Mechanisms
,” Mach. Des.
, 57
, No. 19
, August 22, pp. 107
–113
.6.
Sandor, G. N., 1959, “A General Complex-Number Method for Planar Kinematic Synthesis with Applications,” Ph.D. thesis, Columbia University.
7.
Sutherland
, G. H.
, 1977
, “Mixed Exact-Approximate Planar Mechanism Position Synthesis
,” J. Eng. Ind.
, 99
, Series B, No. 2
, pp. 434
–439
.8.
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.
9.
Ahn, S., 1993, “Optimization Enhanced Synthesis of Planar Four-Bar Motion Generation Linkages,” University of Minnesota, Ph.D. thesis.
10.
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.
11.
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.
12.
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.
13.
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.
14.
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.
15.
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
.16.
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
.17.
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.
18.
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.
19.
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.
20.
Holte, J. E., 1996, “Two Precision Position Synthesis of Planar Mechanisms with Approximate Position and Velocity Constraints,” Ph.D. thesis, University of Minnesota.
Copyright © 2000
by ASME
You do not currently have access to this content.
