The analysis of singularities is central to the development and control of a manipulator. However, existing methods for singularity set computation still concentrate on specific classes of manipulators. The absence of general methods able to perform such computation on a large class of manipulators is problematic because it hinders the analysis of unconventional manipulators and the development of new robot topologies. The purpose of this paper is to provide such a method for nonredundant mechanisms with algebraic lower pairs and designated input and output speeds. We formulate systems of equations that describe the whole singularity set and each one of the singularity types independently, and show how to compute the configurations in each type using a numerical technique based on linear relaxations. The method can be used to analyze manipulators with arbitrary geometry, and it isolates the singularities with the desired accuracy. We illustrate the formulation of the conditions and their numerical solution with examples, and use 3-D projections to visualize the complex partitions of the configuration space induced by the singularities. ; This work has been partially supported by the Spanish Ministry of Economy and Competitiveness under contract DPI2010-18449, and by a Juan de la Cierva contract supporting the fourth author. ; Peer Reviewed


    Access

    Download


    Export, share and cite



    Title :

    A general method for the numerical computation of manipulator singularity sets



    Publication date :

    2014-01-01



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



    A general method for the numerical computation of manipulator singularity sets

    Bohigas Nadal, Oriol / Zlatanov, Dimiter / Ros Giralt, Lluís et al. | BASE | 2014

    Free access

    Numerical computation of manipulator singularities

    Bohigas Nadal, Oriol / Zlatanov, Dimiter / Ros Giralt, Lluís et al. | BASE | 2012

    Free access

    Numerical computation of manipulator singularities

    Bohigas, Oriol / Zlatanov, Dimiter / Ros, Lluís et al. | BASE | 2012

    Free access