Structural synthesis of plane kinematic chain inversions without detecting isomorphism
<p>A plane kinematic chain inversion refers to a plane kinematic chain with one link fixed (assigned as the ground link). In the creative design of mechanisms, it is important to select proper ground links. The structural synthesis of plane kinematic chain inversions is helpful for improving t...
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| Autores principales: | , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Copernicus Publications
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/26f43fbe30d5459c9c805d967ee24906 |
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| Sumario: | <p>A plane kinematic chain inversion refers to a plane kinematic
chain with one link fixed (assigned as the ground link). In the creative
design of mechanisms, it is important to select proper ground links.
The structural synthesis of plane kinematic chain inversions is helpful for
improving the efficiency of mechanism design. However, the existing
structural synthesis methods involve isomorphism detection, which is
cumbersome. This paper proposes a simple and efficient structural
synthesis method for plane kinematic chain inversions without detecting
isomorphism. The fifth power of the adjacency matrix is applied to recognize
similar vertices, and non-isomorphic kinematic chain inversions are directly
derived according to non-similar vertices. This method is used to
automatically synthesize 6-link 1-degree-of-freedom (DOF), 8-link 1-DOF, 8-link 3-DOF, 9-link
2-DOF, 9-link 4-DOF, 10-link 1-DOF, 10-link 3-DOF and 10-link 5-DOF plane
kinematic chain inversions. All the synthesis results are consistent with
those reported in literature. Our method is also suitable for other kinds of
kinematic chains.</p> |
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