Cell division method for mobility analysis of multi-loop mechanisms
| Autor: | Zongquan Deng, Hongwei Guo, Xiaoke Song, Chuanyang Li, Sahad Imtiaz Zahin, Dewei Tang, Rongqiang Liu |
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| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Loop (graph theory) Correctness Cell division Mathematical model Computer science Mechanical Engineering Bioengineering 02 engineering and technology Kinematics Topology Computer Science Applications Mechanism (engineering) 020303 mechanical engineering & transports 020901 industrial engineering & automation Mobility analysis 0203 mechanical engineering Mechanics of Materials Screw theory |
| Zdroj: | Mechanism and Machine Theory. 141:67-94 |
| ISSN: | 0094-114X |
| DOI: | 10.1016/j.mechmachtheory.2019.07.002 |
| Popis: | This paper presents a combination of biological and screw theories for analyzing mechanisms, namely, cytology of mechanism (CM). In CM, kinematic pairs are considered as cells and they are the most important part of mechanisms. CM comprises four concepts, namely, cell division, cell division–differentiation, cell combination, and cell combination–variation. Consequently, mathematical models based on screw theory are employed to describe those concepts. A cell division method (CDM) is also proposed for mobility analysis of multi-loop mechanisms based on cell division. The basic principle of this method is to transform mobility analysis into constraint analysis between kinematic pairs and mobility analysis of parallel sub-mechanisms. Finally, CDM is used for analyzing the mobility of three typical multi-loop mechanisms to verify its correctness and practicality. |
| Databáze: | OpenAIRE |
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