Abstract
This chapter covers the singularity analysis of parallel mechanisms. The singularities of parallel mechanisms are classified into three types. For the first type of singularity, the mechanism loses 1 or more DOFs, while for the second type of singularity, the mechanism gains 1 or more DOFs. The third type of singularity occurs when the first and second types of singularity occur simultaneously. The physical meanings of each type of singularity are illustrated by two parallel mechanisms including a planar 5R type and a 3-DOF type. What is more important, a new approach to singularity analysis of parallel mechanisms taking into account the motion and force transmissibility is presented based on screw theory.
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References
Bonev IA, Gosselin CM (2001) Singularity loci of planar parallel manipulators with revolute joints. In: Proceedings of the 2nd workshop on computational kinematics, Seoul, South Korea, pp291–299
Daniali HRM, Zsombor-Murray PJ, Angeles J (1995) Singularity analysis of a general class of planar parallel manipulators. In: Proceedings of IEEE ICRA, pp 1547–1552
Gosselin CM, Angeles J (1990) Singularity analysis of closed loop kinematic chains. IEEE Trans Robot Autom 6(3):281–290
Liu GF, Lou YJ, Li ZX (2003) Singularities of parallel manipulators: a geometric treatment. IEEE Trans Robot Autom 19(4):579–594
Mayer St-Onge B, Gosselin CM (2000) Singularity analysis and representation of the General Gough-Stewart Platform. Int J Robot Res 19(3):271–288
Park FC, Kim JW (1999) Singularity analysis of closed kinematic chains. J Mech Des 121:32–38
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Liu, XJ., Wang, J. (2014). Singularity of Parallel Mechanisms. In: Parallel Kinematics. Springer Tracts in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36929-2_5
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DOI: https://doi.org/10.1007/978-3-642-36929-2_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-36928-5
Online ISBN: 978-3-642-36929-2
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