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    On the Manifold Property of the Set of Singularities of Kinematic Mappings: Genericity Conditions 

    Source: Journal of Mechanisms and Robotics:;2012:;volume( 004 ):;issue: 001:;page 11006
    Author(s): Andreas Müller
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Whether the singularities of a kinematic mapping constitute smoothmanifolds is an important question with significance to mechanism design and robot control. It is thus obvious to ask if this ...
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    On the Manifold Property of the Set of Singularities of Kinematic Mappings: Modeling, Classification, and Genericity 

    Source: Journal of Mechanisms and Robotics:;2011:;volume( 003 ):;issue: 001:;page 11006
    Author(s): Andreas Müller
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: It is commonly assumed that the singularities of kinematic mappings constitute generically smooth manifolds but this has not yet been proven. Moreover, before this assumption can be verified, ...
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    Semialgebraic Regularization of Kinematic Loop Constraints in Multibody System Models 

    Source: Journal of Computational and Nonlinear Dynamics:;2011:;volume( 006 ):;issue: 004:;page 41010
    Author(s): Andreas Müller
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Redundant constraints in multibody system (MBS) models, reflected by a singular constraint Jacobian, impair the efficient dynamics simulation. In particular, kinematic loop constraints are often ...
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