The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains
<p>The epicyclic gear train (EGT) is an advanced gear transmission mechanism, which is widely applied in drive systems. It is of great significance to eliminate the same structure in the type synthesis of EGTs. In this paper, an isomorphism identification method of EGTs based on the singular v...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2022-06-01
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| Series: | Mechanical Sciences |
| Online Access: | https://ms.copernicus.org/articles/13/535/2022/ms-13-535-2022.pdf |
| Summary: | <p>The epicyclic gear train (EGT) is an advanced gear
transmission mechanism, which is widely applied in drive systems. It is
of great significance to eliminate the same structure in the type synthesis
of EGTs. In this paper, an isomorphism identification method of EGTs based
on the singular value decomposition of improved incidence matrix is
proposed. Firstly, the improved incidence matrix is used to describe the
structure of EGTs. Then, the degree sequence of links and kinematic pairs
can be extracted and used as a basic information for preliminary screening.
The improved incidence matrix can effectively distinguish multiple joints.
Next, the topological connection relationship between the links and the
kinematic pairs is extracted by the singular value decomposition of the
matrix, which is used as the final value for isomorphism identification of
EGTs. Finally, the effectiveness of this method is verified through a lot of
examples.</p> |
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| ISSN: | 2191-9151 2191-916X |