Articles | Volume 13, issue 1
https://doi.org/10.5194/ms-13-535-2022
https://doi.org/10.5194/ms-13-535-2022
Research article
 | 
15 Jun 2022
Research article |  | 15 Jun 2022

The singular value decomposition method of improved incidence matrix for isomorphism identification of epicyclic gear trains

Mingshuai Zhou, Wei Sun, Rongxuan Wu, and Wenxu Fu

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Cited articles

Cubillo, J. P. and Wan, J.: Comments on mechanism kinematic chain isomorphism identification using adjacent matrices, Mech. Mach. Theory, 40, 131–139, https://doi.org/10.1016/j.mechmachtheory.2004.07.004, 2005. 
Deng, T., Xu, H., Tang, P., Liu, P., and Yan, L.: A novel algorithm for the isomorphism detection of various kinematic chains using topological index, Mech. Mach. Theory, 146, 103740, https://doi.org/10.1016/j.mechmachtheory.2019.103740, 2020. 
Feng, C. and Chen, Y.: Mechanism kinematics chain isomorphism identification based on genetic algorithms, Chin. J. Mech. Eng., 37, 27–30, https://doi.org/10.3901/JME.2001.10.027, 2001. 
Liu, J. and Yu, D.: Representations & isomorphism identification of planar kinematic chains with multiple joints based on the converted adjacent matrix, J. Mech. Eng., 48, 15–21, https://doi.org/10.3901/JME.2012.05.015, 2012. 
Prasad Raju Pathapati, V. V. N. R. and Rao, A. C.: A new technique based on loops to investigate displacement isomorphism in planetary gear trains, J. Mech. Design, 124, 662–675, https://doi.org/10.1115/1.1503373, 2002. 
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Short summary
The epicyclic gear train (EGT) is a gear transmission mechanism. When the number of designed structures is increasing and structures are becoming ever more complex, manual screening is very difficult. Therefore, scholars are committed to developing an algorithm that can distinguish repetitive structures. In this paper, we use a method to transform the structural information of EGT into a matrix and extract the hidden information in the matrix to judge whether there is a repeated structure.