Kinematic Analysis of Slider-Cranks Derived from the \(\lambda \)-Mechanism

  • Erika OttavianoEmail author
  • Pierluigi Rea
  • Marco Conte
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 15)


In this paper a kinematic analysis is presented for slider-cranks derived from the \(\lambda \)-mechanism. In particular, for this linkage the coupler curves traced by a reference point are Berard curves. By properly choosing the design parameters of the mechanism the coupler curves are represented by quartics, which have been identified and classified.


Kinematics Slider-crank Coupler curve Singularities 


  1. 1.
    McCarthy, J.M., Joskowicz, L.: Kinematic Synthesis. Cambridge University Press, New York (2001)Google Scholar
  2. 2.
    Hall, A.S.: Kinematics and Linkage Design. Waveland Press. Inc., Prospect Heights (1961)Google Scholar
  3. 3.
    Hunt, K.H.: Kinematic Geometry of Mechanisms. Oxford University Press, New York (1990)Google Scholar
  4. 4.
    Shoup, T.E.: Centrodes of the slider-crank mechanism. In: 8th IFToMM World Congress on the Theory of Machines and Mechanisms. vol. 1, pp. 59–62. Prague (1991)Google Scholar
  5. 5.
    Dijksmann, E.A.: The inverted slider-crank used for the design of an approximate straight-line mechanism. Eng. Res. 61, 129–134 (1995)Google Scholar
  6. 6.
    Prony, G.F.: Nouvelle Architecture Hydraulique, vol. II, Firmin Didot, Paris (1796)Google Scholar
  7. 7.
    Norton, R.L.: Design of Machinery. McGraw-Hill, New York (1999)Google Scholar
  8. 8.
    Hartenberg, R.S., Denavit, J.: Kinematic Synthesis of Linkages. McGraw Hill, New York (1964)Google Scholar
  9. 9.
    Gibson, C.G.: Elementary Geometry of Algebraic Curves. Cambridge University Press, New York (1998)Google Scholar
  10. 10.
    Schrocker, H.-P., Husty, M.L., McCarthy, J.M.: Kinematic mapping based evaluation of assembly modes for planar four-bar synthesis. In: Proceedings of ASME 29th Mechanism and Robotics Conference, Long Beach, DETC2005/MECH-85037 (2005)Google Scholar
  11. 11.
    Figliolini, G., Conte, M., Rea, P.: Algebraic algorithm for the kinematic analysis of crank/rocker mechanisms, ASME J. Mech. Robot. 4(1), 011003–1 (1964)Google Scholar
  12. 12.
    Dijksmann, E.A.: Motion Geometry of Mechanisms. Cambridge University Press, London (1976)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Civil and Mechanical EngineeringUniversity of Cassino and Southern LazioCassinoItaly

Personalised recommendations