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Computer Aided Mechanism Synthesis: A Historical Perspective

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Advances in Mechanisms, Robotics and Design Education and Research

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 14))

Abstract

The age of computer aided mechanism synthesis began in the late 1950’s, as Freudenstein & Sandor published the first paper on the topic [14]. Many exciting developments occurred over the next 60 years, resulting in the development of multiple intriguing mechanism synthesis packages at several leading research institutions.

This paper provides an historical overviewof the developments in computer aided planar linkage synthesis in the time window of 1955 to the present. The origins and legacies of those packages are reviewed. Key contributions to the field by Waldron and his associates are recognized.

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References

  1. Bawab, S., Sabada, S., Srinivasan, U., Kinzel, G.L., Waldron, K.J.: Automatic Synthesis of Crank Driven Four-Bar Mechanisms for Two, Three, or Four-Position Motion Generation. ASME Journal of Mechanical Design 119(2), 225–231 (1997)

    Article  Google Scholar 

  2. Chase, T.R., Erdman, A.G., Riley, D.R.: Synthesis of Six-Bar Linkages Using and Interactive Package. In: Proceedings of the 7th OSU Applied Mechanisms Conference, Kansas City, MO, Paper #LI (December 1981)

    Google Scholar 

  3. Chase, T.R., Erdman, A.G., Riley, D.R.: Improved Centerpoint Curve Generation Techniques for Four Precision Position Synthesis Using the Complex Number Approach. ASME Journal of Mechanisms, Transmissions, and Automation in Design 107(3), 370–376 (1985)

    Article  Google Scholar 

  4. Chase, T.R., Erdman, A.G., Riley, D.R.: Triad Synthesis for up to Five Design Positions With Application to the Design of Arbitrary Planar Mechanisms. ASME Journal of Mechanisms, Transmissions, and Automation in Design 109(4), 426–434 (1987)

    Article  Google Scholar 

  5. Chase, T.R., Mirth, J.A.: Circuits and Branches of Single-Degree-of-Freedom Planar Linkages. ASME Journal of Mechanical Design 115(2), 223–230 (1993)

    Article  Google Scholar 

  6. Chuang, J.C., Strong, R.T., Waldron, K.J.: Implementation of Solution Rectification Techniques in an Interactive Linkage Synthesis Program. ASME Journal of Mechanical Design 103(3), 657–664 (1981)

    Article  Google Scholar 

  7. Cook, J.B., Olson, D.G.: The Design of a 10-Bar Linkage for Four Functions using SyMech. In: Proceedings of the 2002 ASME Design Technology Conference, Montreal, Quebec, Canada, September 29-October 2, Paper No. DETC2002/MECH-34369 (2002)

    Google Scholar 

  8. Draijer, H., Kokkeler, F.: Heron’s Synthesis Engine Applied to Linkage Design. In: Proceedings of the 2002 ASME Design Technology Conference, Montreal, Quebec, Canada, September 29-October 2, Paper No. DETC2002/MECH-34373 (2002)

    Google Scholar 

  9. Erdman, A.G.: Three and Four Precision Point Kinematic Synthesis of Planar Linkages. Mechanism and Machine Theory 16(3), 227–245 (1981)

    Article  Google Scholar 

  10. Erdman, A.G., Chase, T.R.: New Software Synthesizes Complex Mechanisms. Machine Design 57(19), 107–113 (1985)

    Google Scholar 

  11. Erdman, A.G., Gustafson, J.E.: LINCAGES: Linkage Interactive Computer Analysis and Graphically Enhanced Synthesis Package, Presented at the Design Engineering Technical Conference, Chicago, IL, USA, ASME Paper No. 77-DET-5 (September 1977)

    Google Scholar 

  12. Erdman, A.G., Lonn, D.: A Unified Synthesis of Planar Six-Bar Mechanisms Using Burmester Theory. In: Proceedings of the Fourth World Congress on the Theory of Machines and Mechanisms, Newcastle Upon Tyne, England (September 1975)

    Google Scholar 

  13. Filemon, E.: Useful Ranges of Centerpoint Curves for Design of Crank-and-Rocker Linkages. Mechanism and Machine Theory 7(1), 47–53 (1972)

    Article  Google Scholar 

  14. Freudenstein, F., Sandor, G.N.: Synthesis of Path-Generating Mechanisms by Means of a Programmed Digital Computer. ASME Journal of Engineering for Industry Series B 81(2), 159–167 (1959)

    Google Scholar 

  15. Freudenstein, F., Sandor, G.N.: On the Burmester Points of a Plane. ASME Journal of Applied Mechanics Series E 28(1), 41–49 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  16. Gupta, K.C.: Synthesis of Position, Path and Function Generating 4-Bar Mechanisms with Completely Rotatable Driving Cranks. Mechanism and Machine Theory 15(2), 93–101 (1980)

    Article  MATH  Google Scholar 

  17. Kinzel, E.C., Schmiedeler, J.P., Pennock, G.R.: Kinematic Synthesis for Finitely Separated Positions Using Geometric Constraint Programming. ASME Journal of Mechanical Design 128(5), 1070–1079 (2006)

    Article  Google Scholar 

  18. Krause, J.K.: Designing Mechanisms on a Personal Computer. Machine Design 55(6), 94–99 (1983)

    Google Scholar 

  19. Mirth, J.A.: The Application of Geometric Constraint Programming to the Design of Motion Generating Six-Bar Linkages. In: Proceedings of the 2012 ASME International Design Engineering Technical Conferences, Chicago, IL (August 2012)

    Google Scholar 

  20. Mirth, J.A., Chase, T.R.: Circuit Rectification for Four Precision Position Synthesis of Four-Bar and Watt Six-Bar Linkages. ASME Journal of Mechanical Design 117(4), 612–619 (1995)

    Article  Google Scholar 

  21. Mirth, J.A., Chase, T.R.: Circuit Rectification for Four Precision Position Synthesis of Stephenson Six-Bar Linkages. ASME Journal of Mechanical Design 117(4), 644–646 (1995)

    Article  Google Scholar 

  22. Myklebust, A., Tesar, D.: The Analytical Synthesis of Complex Mechanisms for Combinations of Specified Geometric or Time Derivatives up to the Fourth Order. ASME Journal of Engineering for Industry Series B 97(2), 714–722 (1975)

    Article  Google Scholar 

  23. Myklebust, A., Keil, M.J., Reinholtz, C.F.: MECSYN-IMP-ANIMEC: Foundation for a New Computer-Aided Spatial Mechanism Design System. Mechanism and Machine Theory 20(4), 257–269 (1985)

    Article  Google Scholar 

  24. Nelson, L., Erdman, A.G.: Recent Enhancements to the LINCAGES-6 Synthesis Package, Including Circuit Rectification. In: Mechanism Synthesis and Analysis (ASME DE-Vol. 70), The 1994 ASME Design Technical Conferences - 23rd Biennial Mechanisms Conference, Minneapolis, MN, pp. 263–271 (1994)

    Google Scholar 

  25. Root, R.R., Ragsdell, K.M.: A Survey of Optimization Methods Applied to the Design of Mechanisms. ASME Journal of Engineering for Industry 98(3), 1036–1041 (1976)

    Article  Google Scholar 

  26. Rubel, A.J., Kaufman, R.E.: KINSYN III: A New Human-Engineered System for Interactive Computer-Aided Design of Planar Linkages. ASME Journal of Engineering for Industry 99(2), 440–448 (1977)

    Article  Google Scholar 

  27. Sabada, S.: Computer-Aided Design of Four-Bar Linkages for Four-Position Rigid Body Guidance Using Solution Rectification and Optimization Techniques. MSME Thesis, The Ohio State University (1988)

    Google Scholar 

  28. Sabada, S., Srinivasan, U., Kinzel, G., Waldron, K.: Automatic Synthesis of Four-Bar Mechanisms for Four-Position Motion Generation. In: Proceedings of the 20th Biennial ASME Mechanisms Conference. Orlando, FL, September 25-28. Trends and Developments in Mechanisms, Machines, and Robotics, vol. 2, pp. 121–128 (1988)

    Google Scholar 

  29. Shah, J.J., Mantylia, M.: Parametric and Feature-Based CAD/CAM. Wiley Interscience (1995)

    Google Scholar 

  30. Sivertsen, O., Myklebust, A.: MECSYN: An Interactive Computer Graphics System for Mechanism Synthesis by Algebraic Means. Presented at the Design Engineering Technical Conference, Beverly Hills, CA, USA, September 28-October 1, ASME Paper No. 80-DET-68 (1980)

    Google Scholar 

  31. Song, S.M., Waldron, K.J.: Theoretical and Numerical Improvements to an Interactive Linkage Design Program - RECSYN. In: Proceedings of the 7th OSU Applied Mechanisms Conference, Kansas City, MO, Paper #VIII (December 1981)

    Google Scholar 

  32. Spitznagel, K.L., Tesar, D.: Multiparametric Optimization of Four-Bar Linkages. ASME Journal of Mechanical Design 101(3), 386–391 (1979)

    Article  Google Scholar 

  33. Srinivasan, U., Sabada, S., Kinzel, G., Waldron, K.: Automatic Synthesis of Four-Bar Mechanisms for Two and Three Position Motion Generation. In: Proceedings of the 20th Biennial ASME Mechanisms Conference. Trends and Developments in Mechanisms, Machines, and Robotics, September 25-28, vol. 2, pp. 113–120 (1988)

    Google Scholar 

  34. Strong, R.T., Waldron, K.J.: Joint Displacements in Linkage Synthesis Solutions. ASME Journal of Mechanical Design 101(3), 477–487 (1979)

    Article  Google Scholar 

  35. Sun, J.W.H., Waldron, K.J.: Graphical Transmission Angle Control in Planar Linkage Synthesis. Mechanism and Machine Theory 16(4), 385–397 (1981)

    Article  Google Scholar 

  36. Venkataraman, S.C., Kinzel, G.L., Waldron, K.J.: Optimal Synthesis of Four-Bar Linkages for Four-Position Rigid Body Guidance With Selective Tolerance Specifications. In: Proceedings of the 1992 ASME Mechanisms Conference. Mechanical Design and Synthesis, Scottsdale, AZ, September 13-16, DE-vol. 46, pp. 651–659 (1992)

    Google Scholar 

  37. Waldron, K.J.: Range of Joint Rotation in Planar Four-Bar Synthesis for Finitely Separated Positions: Part I - The Multiple Branch Problem. Presented at the Design Engineering Technical Conference, New York, NY, ASME Paper No. 74-DET-108 (October 1974)

    Google Scholar 

  38. Waldron, K.J.: Range of Joint Rotation in Planar Four-Bar Synthesis for Finitely Separated Positions: Part II - Elimination of Unwanted Grashof Configurations. Presented at the Design Engineering Technical Conference, New York, NY, ASME Paper No. 74-DET-109 (October 1974)

    Google Scholar 

  39. Waldron, K.J.: The Order Problem of Burmester Linkage Synthesis. ASME Journal of Engineering for Industry 97(4), 1405–1406 (1975)

    Article  Google Scholar 

  40. Waldron, K.J.: Elimination of the Branch Problem in Graphical Burmester Mechanism Synthesis for Four Finitely Separated Positions. ASME Journal of Engineering for Industry 98(1), 176–182 (1976)

    Article  Google Scholar 

  41. Waldron, K.J.: Graphical Solution of the Branch and Order Problems of Linkage Synthesis for Multiply Separated Positions. ASME Journal of Engineering for Industry 99(3), 591–597 (1977)

    Article  Google Scholar 

  42. Waldron, K.J.: Location of Burmester Synthesis Solutions with Fully Rotatable Cranks. Mechanism and Machine Theory 13(2), 125–137 (1978)

    Article  MathSciNet  Google Scholar 

  43. Waldron, K.J., Kinzel, G.L.: Kinematics, Dynamics, and Design of Machinery. Wiley, New York (2003)

    Google Scholar 

  44. Waldron, K.J., Stevensen Jr., E.N.: Elimination of Branch, Grashof, and Order Defects in Path-Angle Generation and Function Generation Synthesis. ASME Journal of Mechanical Design 101(3), 428–437 (1979)

    Article  Google Scholar 

  45. Waldron, K.J., Strong, R.T.: Improved Solutions of the Branch and Order Problems of Burmester Linkage Synthesis. Mechanism and Machine Theory 13(2), 199–207 (1978)

    Article  Google Scholar 

  46. Waldron, K.J., Sun, J.W.-H.: Graphical Transmission Angle Control in Planar Linkages Synthesis. In: Proceedings of the 6th OSU Applied Mechanisms Conference, Denver, CO, Paper #XXXIV (October 1979)

    Google Scholar 

  47. http://www.symech.com (2013)

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Author information

Authors and Affiliations

  1. Mechanical Engineering Department, University of Minnesota, Minneapolis, MN, USA, 55455

    Thomas R. Chase & Arthur G. Erdman

  2. Department of Mechanical and Aerospace Engineering, The Ohio State University, Columbus, OH, USA, 43210

    Gary L. Kinzel

Authors
  1. Thomas R. Chase
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  2. Gary L. Kinzel
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  3. Arthur G. Erdman
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Correspondence to Thomas R. Chase .

Editor information

Editors and Affiliations

  1. , School of Engineering and, University of Pennsylvania, 220 South 33rd Street, 107 Towne Building, Philadelphia, 19104-6391, Pennsylvania, USA

    Vijay Kumar

  2. , Aerospace and Mechanical Engineering, University of Notre Dame, Fitzpatrick Hall 365, Notre Dame, 46556, Indiana, USA

    James Schmiedeler

  3. , Mechanical Engineering, University of Texas at Austin, E. Dean Keeton St. C2100 301, Austin, 78712, Texas, USA

    S. V. Sreenivasan

  4. , Mechanical and Aerospace Engineering, The Ohio State University, West 19th Ave. 201, Columbus, 43220, Ohio, USA

    Hai-Jun Su

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Chase, T.R., Kinzel, G.L., Erdman, A.G. (2013). Computer Aided Mechanism Synthesis: A Historical Perspective. In: Kumar, V., Schmiedeler, J., Sreenivasan, S., Su, HJ. (eds) Advances in Mechanisms, Robotics and Design Education and Research. Mechanisms and Machine Science, vol 14. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00398-6_2

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  • DOI: https://doi.org/10.1007/978-3-319-00398-6_2

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00397-9

  • Online ISBN: 978-3-319-00398-6

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