A general method for the determination of the instantaneous screw axes of one-degree-of-freedom spatial mechanisms

This contribution shows that a method proposed previously, for the determination of the instantaneous centers of rotation of planar closed chains, can be generalized for the determination of the instantaneous screw axes of general one-degree-of-freedom spatial mechanisms. Hence, the approach present...

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Bibliographic Details
Published in:Mechanical sciences (Göttingen) 2020-04, Vol.11 (1), p.91-99
Main Authors: Valderrama-Rodríguez, Juan Ignacio, Rico, José M, Cervantes-Sánchez, J. Jesús
Format: Article
Language:English
Subjects:
Axes (reference lines)
Chains
Degrees of freedom
Kinematics
Subgroups
Velocity
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Summary:This contribution shows that a method proposed previously, for the determination of the instantaneous centers of rotation of planar closed chains, can be generalized for the determination of the instantaneous screw axes of general one-degree-of-freedom spatial mechanisms. Hence, the approach presented in this paper can be applied to any of the closed chains that belong to any of the subgroups of the Euclidean group, SE(3), namely planar, spherical or chains associated with the Schönflies subgroups, among others. Furthermore it can be also applied to multi-loop mechanisms and even to closed chains that are exceptional o paradoxical, as indicated by Hervé.
ISSN:2191-916X
2191-9151
2191-916X
DOI:10.5194/ms-11-91-2020