A Closed-Form Solution of Spatial Sliders for Rigid-Body Guidance

  • Chintien HuangEmail author
  • Weiche Huang
  • Gökhan Kiper
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 15)


This paper presents a closed-form solution to the four-position synthesis problem by using a spatial slider, which is a spatial dyad of two perpendicularly intersected cylindrical joints. We utilize the dialytic elimination method to simplify the synthesis equations and to obtain a univariate ninth degree polynomial equation. Among the nine sets of solutions, two of them are infinite, and one is the displacement screw from the first position to the second position. Therefore, we have at most six real solutions that can be used to design spatial sliders for the four-position synthesis problem. A numerical example is provided in to demonstrate the validity of the solution procedure.


Spatial slider Cylindrical joint Rigid-body guidance Dialytic elimination 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan
  2. 2.Department of Mechanical Engineeringİzmir Institute of TechnologyİzmirTurkey

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