Geometric algebra approach to analyzing the singularity of six-DOF parallel mechanism

Author:

CHENG Shili12,JI Ping2

Affiliation:

1. School of Mechanical Engineering, Yancheng Institute of Technology

2. Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University

Publisher

Japan Society of Mechanical Engineers

Subject

Industrial and Manufacturing Engineering,Mechanical Engineering

Reference41 articles.

1. Aminea, S., Masoulehb, M. T., Caro, S., Wenger, P. and Gosselin, C., Singularity analysis of 3T2R parallel mechanisms using Grassmann–Cayley algebra and Grassmann geometry, Mechanism and Machine Theory, Vol.52 (2012), pp. 326-340.

2. Bayro-Corrochano, E., Geometric Algebra Applications Vol. I: Computer Vision, Graphics and Neurocomputing (2019), pp. 21-49, Springer, Switzerland.

3. Cao, Y., Gosselin, C. M., Ping, R. and Zhou, H., Orientationability analyses of a special class of the Stewart–Gough parallel manipulators using the unit quaternion representation, Advanced Robotics, Vol.27, No.2 (2013), pp. 147-158.

4. Chen, X., Liu, X.-J. and Xie, F., Screw Theory Based Singularity Analysis of Lower-Mobility Parallel Robots considering the Motion/Force Transmissibility and Constrainability, Mathematical Problems in Engineering, Vol.2015 (2015), pp. 1-11.

5. Cheng, G., Gu, W. and Jiang, S., Singularity Analysis of a Parallel Hip Joint Simulator Based on Grassmann Line Geometry, Journal of Mechanical Engineering, Vol.48, No.17 (2012), pp. 29-37 (in Chinese).

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Current survey of Clifford geometric algebra applications;Mathematical Methods in the Applied Sciences;2022-04-29

2. Optimum transmission performance of 3-RRR planar parallel manipulators and sensitivity analysis;Journal of Advanced Mechanical Design, Systems, and Manufacturing;2021

3. Screw theory based method to formulate local Jacobian’ magnitude estimator contours for 6 DoF robots;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2020-10-12

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