Compound Topological Invariant Based Method for Detecting Isomorphism in Planar Kinematic Chains
Compound Topological Invariant Based Method for Detecting Isomorphism in Planar Kinematic Chains
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基于复合拓扑不变量的平面运动链同构检测方法
DOI：
10.1115/1.4046840
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发表时间：
2020-10
期刊：
影响因子：
--
通讯作者：
Chuanyu Wu
中科院分区：
文献类型：
--
作者：
Liang Sun;Zhizheng Ye;Rongjiang Cui;Wenjian Yang;Chuanyu Wu
运动链（KCs）或机构的结构综合中的一个重要步骤是同构结构的检测。尽管已经提出了许多检测方法，但其中大多数都需要复杂的计算且通用性较差。在……
An important step in the structural synthesis of kinematic chains (KCs) or mechanisms is the detection of isomorphic structures. Although many detection methods have been proposed, most of them require complex computations and have poor versatility. In this study, a simple detection method is proposed based on a compound topological invariant (CTI), which comprises the fourth power of adjacency matrix and eigenvalues. Besides two complex 15- and 28-link planar simple-joint KCs (PSKCs), the method is tested on the complete atlas of contracted graphs with up to six independent loops, PSKCs with up to 13 links, 8-link 1-degree-of-freedom (DOF) planar multiple-joint KCs (PMKCs), and 6-link 1-DOF planetary gear trains (PGTs). All the results are in agreement with the reported results in the literature. Our method possesses good versatility and has been verified as being reliable and efficient.
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影响因子：
3.3
作者：
H. Ding;Zhen Huang
通讯作者：
H. Ding;Zhen Huang
影响因子：
3.3
作者：
V. V. Kamesh-V.;K. M. Rao;Annambhotla Balaji Srinivasa Rao
通讯作者：
V. V. Kamesh-V.;K. M. Rao;Annambhotla Balaji Srinivasa Rao
影响因子：
5.2
作者：
R. Rai;S. Punjabi
通讯作者：
R. Rai;S. Punjabi
DOI：
10.1016/0022-2569(67)90003-1
发表时间：
1967-09
期刊：
Journal of Mechanisms
影响因子：
--
作者：
F. Freudenstein
通讯作者：
F. Freudenstein
影响因子：
5.2
作者：
A. C. Rao;C. N. Rao
通讯作者：
A. C. Rao;C. N. Rao