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Design and Analysis of a Novel 2T2R Parallel Mechanism with the Closed-loop Limbs

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Abstract

This paper presents a novel four degrees of freedom (DOF) parallel mechanism with the closed-loop limbs, which includes two translational (2T) DOF and two rotational (2R) DOF. By connecting the proposed parallel mechanism with the guide rail in series, the 5-DOF hybrid robot system is obtained, which can be applied for the composite material tape laying in aerospace industry. The analysis in this paper mainly focuses on the parallel module of the hybrid robot system. First, the freedom of the proposed parallel mechanism is calculated based on the screw theory. Then, according to the closed-loop vector equation, the inverse kinematics and Jacobian matrix of the parallel mechanism are carried out. Next, the workspace stiffness and dexterity analysis of the parallel mechanism are investigated based on the constraint equations, static stiffness matrix and Jacobian condition number. Finally, the correctness of the inverse kinematics and the high stiffness of the parallel mechanism are verified by the kinematics and stiffness simulation analysis, which lays a foundation for the automatic composite material tape laying.

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References

  1. J. S. Cai. Application of advanced composite materials in aerospace. Synthetic Materials Aging and Application, vol. 47, no. 6, pp. 94–97, 2018. DOI: https://doi.org/10.16584/j.cnki.issn1671-5381.2018.06.024. (in Chinese)

    Google Scholar 

  2. W. Z. Huang, R. L. Sun, P. Zhang, H. T. Lian, L. L. Li, Y. W. Liu. Development of automated placement technology for composite material. Aeronautical Manufacturing Technology, no. 16, pp. 84–89, 2014. DOI: https://doi.org/10.3969/J.issn.1671-833X.2014.16.020. (in Chinese)

    Google Scholar 

  3. J. X. Jiang, Y. X. He, H. Wang, Y. L. Ke. Modeling and experimental validation of compaction pressure distribution for automated fiber placement. Composite Structures, vol. 256, Article number 113101, 2021. DOI: https://doi.org/10.1016/j.compstruct.2020.113101.

  4. D. M. Huang, H. P. Nie. Application of automatic tape laying technology in the composites wing skin. Aeronautical Manufacturing Technology, no. 4, pp. 97–100, 2017. DOI: https://doi.org/10.16080/j.issn1671-833x.2017.04.097. (in Chinese)

    Google Scholar 

  5. H. B. Qu, Y. H. Liang, Y. F. Fang, Y. L. Zhou. Statics and stiffness analysis of 4-RRS redundant spherical parallel mechanism. Journal of Mechanical Engineering, vol. 51, no. 11, pp. 8–15, 2015. DOI: https://doi.org/10.3901/JME.2015.11.008. (in Chinese)

    Article  Google Scholar 

  6. H. Q. Zhang, H. R. Fang, B. S. Jiang. Motion-force transmissibility characteristic analysis of a redundantly actuated and overconstrained parallel machine. International Journal of Automation and Computing, vol. 16, no. 2, pp. 150–162, 2019. DOI: https://doi.org/10.1007/s11633-018-1156-5.

    Article  Google Scholar 

  7. B. S. Jiang, H. R. Fang, H. Q. Zhang. Type synthesis and kinematics performance analysis of a class of 3T2R parallel mechanisms with large output rotational angles. International Journal of Automation and Computing, vol. 16, no. 6, pp. 775–785, 2019. DOI: https://doi.org/10.1007/s11633-019-1192-9.

    Article  Google Scholar 

  8. H. R. Fang, T. Zhu, H. Q. Zhang, H. Yang, B. S. Jiang. Design and analysis of a novel hybrid processing robot mechanism. International Journal of Automation and Computing, vol. 17, no. 6, pp. 403–116, 2020. DOI: https://doi.org/10.1007/s11633-020-1228-1.

    Article  Google Scholar 

  9. J. Y. Guo. Research on the Accuracy Analysis and Relevant Problems of Lower-Mobility Tripod Hybrid Machine Tools, Ph. D. dissertation, Northeastern University, China, 2009. (in Chinese)

    Google Scholar 

  10. B. Siciliano. The tricept robot: inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm. Robotica, vol. 17, no. 4, pp. 437–445, 1999. DOI: https://doi.org/10.1017/S0263574799001678.

    Article  Google Scholar 

  11. M. A. Hosseini, H. R. M. Daniali, H. D. Taghirad. Dexterous workspace optimization of a tricept parallel manipulator. Advanced Robotics, vol. 25, no. 13–14, pp. 1697–1712, 2011. DOI: https://doi.org/10.1163/016918611X584640.

    Article  Google Scholar 

  12. B. Li, T. Huang, H. T. Liu, X. H. Zhao. Position analysis of a 3-DOF PKM module for a 5-DOF hybrid robot exechon. China Mechanical Engineering, vol. 21, no. 23, pp. 2785–2789, 2010. (in Chinese)

    Google Scholar 

  13. Y. Z. Zhang, Q. Xue. Error modeling and sensitivity analysis of a 3-axis parallel machining head — sprint Z3. Machine Tool & Hydraulics, vol. 39, no. 15, pp. 116–118, 139, 2011. DOI: https://doi.org/10.3969/j.issn.1001-3881.2011.15.034. (in Chinese)

    Google Scholar 

  14. Y. Cao, Y. L. Qin, H. Chen, S. Y. Ge, H. Zhou. Structural synthesis of fully isotropic and decoupled 2T2R parallel robot. Journal of Harbin Institute of Technology, vol. 48, no. 7, pp. 94–100, 2016. DOI: https://doi.org/10.11918/j.issn.0367-6234.2016.07.015. (in Chinese)

    MATH  Google Scholar 

  15. C. Y. Sun, H. P. Shen, J. T. Yuan, T. L. Yang. Topological structural synthesis and classification of 2T2R parallel mechanism based on POC equations. Transactions of the Chinese Society for Agricultural Machinery, vol. 49, no. 11, pp. 409–418, 2018. DOI: https://doi.org/10.6041/j.issn.1000-1298.2018.11.050. (in Chinese)

    Google Scholar 

  16. C. X. Fan, H. Z. Liu, Y. B. Zhang. Type synthesis of 2T2R 4-DOF parallel mechanism based on configuration evolution and lie group theory. China Mechanical Engineering, vol. 21, no. 9, pp. 1101–1105, 2010. (in Chinese)

    Google Scholar 

  17. C. X. Fan, H. Z. Liu, G. X. Yuan, Y. B. Zhang. A novel 2T2R 4-DOF parallel manipulator. In Proceedings of the 4th International Symposium on Knowledge Acquisition and Modeling, IEEE, Sanya, China, pp. 5–8, 2011. DOI: https://doi.org/10.1109/KAM.2011.9.

    Google Scholar 

  18. H. Yang, H. R. Fang, D. Li, Y. F. Fang. Kinematics analysis and multi-objective optimization of a novel parallel perfusion robot. Journal of Beijing University of Aeronautics and Astronautics, vol. 44, no. 3, pp. 568–575, 2018. DOI: https://doi.org/10.13700/j.bh.1001-5965.2017.0157. (in Chinese)

    Google Scholar 

  19. H. R Fang, L. Wang, H. Q. Zhang, H. Yang. Design and analysis of a novel parallel mechanism with closed-loop limbs. Journal of Beijing University of Aeronautics and Astronautics, vol. 45, no. 3, pp. 454–463, 2019. DOI: https://doi.org/10.13700/j.bh.1001-5965.2018.0411. (in Chinese)

    Google Scholar 

  20. L. W. Tsai. Robot Analysis: The Mechanics of Serial and Parallel Robots, New York, USA: John Wiley & Sons, 1999.

    Google Scholar 

  21. Y. Pan, Y. F. Fang, C. Z. Wang. Design and analysis of five DOF 3D printing parallel robot. China Mechanical Engineering, vol. 27, no. 17, pp. 2273–2279, 2016. DOI: https://doi.org/10.3969/j.issn.1004-132X.2016.17.001. (in Chinese)

    Google Scholar 

  22. X. J. Liu. The Relationships between the Performance Criteria and Link Lengths of the Parallel Manipulators and Their Design Theory, Ph. D. dissertation, Yanshan University, China, 1999. (in Chinese)

    Google Scholar 

Download references

Acknowledgements

This work was supported by Fundamental Research Funds for the Central Universities (No. 2018JBZ007).

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Correspondence to Hai-Rong Fang.

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Recommended by Associate Editor Xun Xu

Colored figures are available in the online version at https://link.springer.com/journal/11633

Hai-Rong Fang received the B.Eng. degree in mechanical engineering from Nanjing University of Science and Technology, China in 1990, the M. Eng. degree in mechanical engineering from Sichuan University, China in 1996, and the Ph.D. degree in mechanical engineering from Beijing Jiaotong University, China in 2005. She worked as associate professor in Department of Engineering Mechanics, Beijing Jiaotong University, China from 2003 to 2011. She is a professor in School of Mechanical Engineering from 2011 and director of Robotics Research Center, Beijing Jiaotong University, China.

Her research interests include parallel mechanisms, digital control, robotics and automation, and machine tool equipment.

Peng-Fei Liu received the B.Eng. degree in mechanical engineering from Beijing Jiaotong University, China in 2018. Currently, he is a master student at School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, China.

His research interests include robotics in computer integrated manufacturing and parallel manipulator.

Hui Yang received the B.Eng. degree in mechanical engineering from Shenyang Ligong University, China in 2014. She won the China Scholarship Council (CSC) Founding to Stony Brook University, the State University of New York as a joint Ph. D. student in 2018. Currently, she is a Ph. D. degree candidate at Beijing Jiaotong University, China.

Her research interests include parallel mechanisms, hybrid perfusion manipulator and intelligent manufacturing.

Bing-Shan Jiang received the B.Eng. degree in mechanical electronic engineering from Liaoning Technical University, China in 2015, and the M. Eng. degree in mechanical engineering from Liaoning Technical University, China in 2017. He is currently a Ph. D. degree candidate at School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, China.

His research interests include synthesis, kinematics, dynamics and control of parallel robots.

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Fang, HR., Liu, PF., Yang, H. et al. Design and Analysis of a Novel 2T2R Parallel Mechanism with the Closed-loop Limbs. Int. J. Autom. Comput. 18, 654–666 (2021). https://doi.org/10.1007/s11633-021-1294-z

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