1. Terminal Constraint Analysis of (3-RPS) + (2-RCR) Hybrid Mechanisms.
- Author
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HU Bo, ZHAO Jinjun, LIU Jianzheng, and ZONG Hongyi
- Subjects
ANALYTIC geometry ,THEORY of screws ,SURFACE geometry ,GEOMETRIC surfaces ,SCREWS - Abstract
In order to explore the particularity of terminal constraint form of "parallels parallel" ype lower mobility hybrid mechanisms, taking (3-RPS) + (2-RCR) mechanisms as research object, a method for solving the intersection of screw systems corresponding to terminal constraint issue was proposed. Firstly, the composition principle of terminal constraint/mobility of (3-RPS) + (2-RCR) mechanisms was introduced, and the calculation formula of terminal constraint/mobility was given. Secondly, the number of terminal mobility of the mechanisms was analyzed using line geometry under ifferent geometric configurations. Then, the ruled surface and generatrix equation corresponding to sub-constrained screw systems were established by analytic geometry theory and screw theory, and he intersection analytic model of three-screw system and four-screw system was obtained, and the erminal constraint of the mechanisms was determined. Thirdly, the terminal constraint/mobility properties were discussed under different geometric configurations. Finally, numerical examples of the mechanisms were given to solve the terminal constraint under three different configurations. The results show that terminal constraint of the mechanisms is not a constraint force/couple, but the general orm of wrench under the general configuration. The method of solving the intersection of screw systems provides an effective way to solve the terminal constraint problems of this kind of hybrid mechanisms [ABSTRACT FROM AUTHOR]
- Published
- 2024
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