Abstract
There are various matrices to represent parallel mechanisms. It is essential to design a kind of approach to not only denote the parallel structures but also disclose the joint directions. In this paper, a novel methodology called the kinematic joint matrix (KJM) is proposed. It possesses the mapping relations with parallel manipulators with three kinds of kinematic joints. The size of such matrix is smaller when compared with that of topology matrix. A series of two to six degrees-of-freedom parallel architectures is denoted by the KJM. A convenient approach using a special block diagram is introduced to distinguish various kinds of kinematic joint matrices. In addition, detailed comparisons between KJM and topology matrix are investigated. Three regulations are proposed for the latter to be applicable to parallel mechanisms.
Original language | English |
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Pages (from-to) | 939-961 |
Number of pages | 23 |
Journal | Robotica |
Volume | 41 |
Issue number | 3 |
DOIs | |
Publication status | Published - 25 Mar 2023 |
Externally published | Yes |
Keywords
- block diagram
- kinematic joint matrix
- parallel manipulator
- topology matrix
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Computational Mechanics
- General Mathematics
- Modelling and Simulation
- Rehabilitation
- Mechanical Engineering
- Computer Vision and Pattern Recognition
- Computer Science Applications
- Control and Optimization
- Artificial Intelligence