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On the Manifold Property of the Set of Singularities of Kinematic Mappings: Genericity Conditions
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 ...
On the Manifold Property of the Set of Singularities of Kinematic Mappings: Modeling, Classification, and Genericity
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, ...
Semialgebraic Regularization of Kinematic Loop Constraints in Multibody System Models
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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