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| Rank of loop, constraint degree of path, coupling degree of graph and their application | |
| 作者姓名： | YANG Tingli LUO Yufeng ZHANG Ce YAO Fanghua |
| 作者单位： | SINOPIC Jinling Petrochemical Corp.,Nanjing 210037,China,Department of Mechanical Engineering,Nanchang University,Nanchang 330029,China,Department of Mechanical Engineering,Tianjin University,Tianjin 300072,China,SINOPIC Jinling Petrochemical Corp.,Nanjing 210037,China |
| 基金项目： | Supported by the National Natural Science Foundation of China (Grant Nos. 59375203, 59875084, and 50275070) |
| 摘 要： | Some new concepts (rank of a loop, degree of freedom of a graph, path unit and ordered path arrangement, constraint degree of path, coupling degree of a graph, basic graph, etc. ), formulas, and algorithms, are proposed in this paper. Based on these concepts, a new systematic theory and practical method for the design of topological structure, kinematics and dynamics of mechanical systems is established. Some conjectures and problems needed to be researched are also put forward. The concepts, formulae and algorithms presented in this paper will find wide potential applications. |
| 关 键 词： | rank of loop degree of freedom of graph constraint degree of path coupling degree of graph |
Rank of loop, constraint degree of path, coupling degree of graph and their application |
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| YANG Tingli,LUO Yufeng,ZHANG Ce,YAO Fanghua.Rank of loop, constraint degree of path, coupling degree of graph and their application[J].Progress in Natural Science,2005,15(2):174-180. | |
| Authors: | Yang Tingli LUO Yufeng ZHANG Ce YAO Fanghua |
| Affiliation: | 1. SINOPIC Jinling Petrochemical Corp.,Nanjing 210037,China 2. Department of Mechanical Engineering,Nanchang University,Nanchang 330029,China 3. Department of Mechanical Engineering,Tianjin University,Tianjin 300072,China |
| Abstract: | Some new concepts (rank of a loop, degree of freedom of a graph, path unit and ordered path arrangement, constraint degree of path, coupling degree of a graph, basic graph, etc. ), formulas, and algorithms, are proposed in this paper. Based on these concepts, a new systematic theory and practical method for the design of topological structure, kinematics and dynamics of mechanical systems is established. Some conjectures and problems needed to be researched are also put forward. The concepts, formulae and algorithms presented in this paper will find wide potential applications. |
| Keywords: | rank of loop degree of freedom of graph constraint degree of path coupling degree of graph |
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