Abstract
Planar parallelogram mechanisms (PPMs) have been used in many applications either as standalone pieces or as compositional joints of mechanisms, such as parallel mechanisms, remote center mechanisms and variable-DOF mechanisms. An n-RR PPM is composed of congruent base and moving platform connected with n RR links of equal link lengths. Although it is well known that an n-RR PPM has one 1-DOF circular translation mode, whether an n-RR PPM has structure/motion modes in addition to the 1-DOF motion mode and how the link parameters affect the number of extra motion/structure modes of the n-RR PPMs have not been well investigated. This paper is about the motion/structure mode analysis and classification of n-RR PPMs. Firstly, the motion/structure mode analysis of 3-RR PPMs is carried out. Then conditions for an n (n>3)-RR PPM to have the same motion/structure modes as a 3-RR PPM are revealed. Finally, n (n≥3)-RR PPMs are classified into three types. In addition to one 1-DOF motion mode, Types I, II and III PPMs have two, one or zero structure mode respectively. This work provides a foundation for the construction and analysis of several variable-DOF mechanisms composed of PPMs.
Original language | English |
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Article number | 104623 |
Journal | Mechanism and Machine Theory |
Volume | 169 |
Early online date | 19 Nov 2021 |
DOIs | |
Publication status | Published - Mar 2022 |
Keywords
- Motion mode
- Parallel mechanism
- Planar parallelogram mechanism
- Structure mode
- Variable-DOF mechanism
ASJC Scopus subject areas
- Bioengineering
- Mechanics of Materials
- Mechanical Engineering
- Computer Science Applications