Planar Motion Structures Modeling and Simulation with MeKin2D Subroutines

  • P. A. SimionescuEmail author
  • Nicola Golfari
  • Eric W. Constans
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


Kinematic simulations of a selection of linearly, radially and circularly deployable structures have been performed using the modular-kinematic sub-routines available from the MeKin2D package. By employing do-while loops, relatively simple, yet flexible simulation programs can be written, useful for workspace, maximum reach and other kinematic properties assessment of the respective motion structures.


Modular Kinematics Assur Groups Motion Structures 


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  1. 1.
    You Z., Pellegrino S.: Foldable bar structures, International Journal of Solids and Structures, 34(15), 1825-1847 (1997)Google Scholar
  2. 2.
    Kassabian P.E., You Z., Pellegrino S.: Retractable roof structures, Proc. Instn Civ. Engrs Structs & Bldgs, 134, 45–56 (1999)Google Scholar
  3. 3.
    Patel J., Ananthasuresh G.K.: A kinematic theory for radially foldable planar linkages, International Journal of Solids and Structures, 44, 6279–6298 (2007)Google Scholar
  4. 4.
    You Z.: Motion Structures extend their reach, Materials Today, 10(12), 52-57 (2007).Google Scholar
  5. 5.
    Akgün Y.: A Novel Transformation Model for Deployable Scissor-Hinge Structures, Doctoral Dissertation, Faculty of Architecture and Urban Planning, Univ. of Stuttgart, (2010).Google Scholar
  6. 6.
    Zhao J-S, Wanga J-Y, Chu F, Feng Z-J, Dai J.S.: Structure synthesis and statics analysis of a foldable stair, Mechanism and Machine Theory, 46, 998–1015 (2011)Google Scholar
  7. 7.
    Cai J., Xu, Y., Feng J.: Kinematic analysis of Hoberman’s Linkages with the screw theory, Mechanism and Machine Theory, 63, 28–34 (2013)Google Scholar
  8. 8.
    Chen Y., Fan L., Feng J.: Kinematic of symmetric deployable scissor-hinge structures with integral mechanism mode, Computers and Structures, 191, 140–152 (2017)Google Scholar
  9. 9.
    Fenci G.E., Currie N.G.R.: Deployable structures classification: A review, International Journal of Space Structures, 32(2), 112–130 (2017)Google Scholar
  10. 10.
    Li R., Yao Y., Kong X.: Reconfigurable deployable polyhedral mechanism based on extended parallelogram mechanism, Mechanism and Machine Theory, 116, 467–480 (2017)Google Scholar
  11. 11.
    Simionescu P.A.: Computer Aided Graphing and Simulation Tools for AutoCAD Users, CRC Press, Boca Raton, USA (2014)Google Scholar
  12. 12.
    Simionescu P.A.: MeKin2D: Suite for Planar Mechanism Kinematics, ASME IDETC/CIE Conference, Charlotte, NC, USA, Aug. 21-24, p. 10 (2016)Google Scholar
  13. 13.
    MeKin2D: Subroutines for planar mechanism simulation, last accessed 2018/10/10
  14. 14.
    Kinzel G.L., Chang C.: The Analysis of Planar Linkages Using a Modular Approach, Mechanism and Machine Theory, 19(1), 165-172 (1984).Google Scholar
  15. 15.
    Molian, S.: Mechanism Simulation Using Subassemblies, Proc. of the 9th World Congress on the Theory of Machines and Mechanisms, Milan, Italy, Vol. 4, 2594-2596 (1995).Google Scholar
  16. 16.
    Hansen M.R.: A general Method for Analysis of Planar Mechanisms Using a Modular Approach, Mechanism and Machine Theory, 31(8), 1155-1166 (1996)Google Scholar
  17. 17.
    Varbanov H., Yankova T., Kulev K., Lilov S.: S&A Expert System for Planar Mechanisms Design, Expert Systems with Applications, 31(3), 558–569 (2006)Google Scholar
  18. 18.
    Galletti, C., Giannotti, E.: Assur’s-Groups-Based Simulation for Teaching Kinematics of Planar Linkages, Proc. of the 19th Congress of the Italian Society for Theoretical and Applied Mechanics AIMETA, Ancona, Italy, p. 10 (2009)Google Scholar
  19. 19.
    Mitrev R., Tudjarov B., Todorov T.: A Cloud-Based Expert System for Synthesis and Evolutionary Optimization of Planar Linkages, University of Niš, Facta Universitatis, Mechanical Engineering Series, p. 17 (2018)Google Scholar
  20. 20.
    Durango S., Correa J., Ruiz O.E.: Graph-based structural analysis of planar mechanisms, Meccanica, 53, 441-455 (2017)Google Scholar
  21. 21.
    User:Pasimi, Wikimedia Commons uploads, last accessed 2018/10/10
  22. 22.
    Simionescu P.A., YouTube subchannel: MeKin2D, 2018, last accessed 2018/10/10

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Texas A&M University Corpus ChristiCorpus ChristiUSA
  2. 2.Golfari ArchitectsMilanItaly
  3. 3.Rose-Hulman Institute of TechnologyTerre HauteUSA

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