Configuration Synthesis of 4 DOF Knee Rehabilitation Parallel Mechanism Based on Multiset Theory | SpringerLink
Skip to main content

Configuration Synthesis of 4 DOF Knee Rehabilitation Parallel Mechanism Based on Multiset Theory

  • Conference paper
  • First Online:
Intelligent Robotics and Applications (ICIRA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14274))

Included in the following conference series:

  • 842 Accesses

Abstract

The occurrence of diseases and accidental damage cause many people to have knee motion dysfunction, the synthesis design of the knee joint rehabilitation mechanism is of great significance. This paper proposes a new 4 DOF (degree-of-freedom) motion equivalent model of knee joint, and the limb synthesis and configuration synthesis of 4 DOF parallel rehabilitation mechanism of knee joint are carried out. Firstly, according to the physiological characteristics of the knee joint and the three non-negligible motion characteristics of the knee joint, a 4 DOF motion equivalent model of the knee joint that is more in line with the knee joint motion is obtained, and the motion screw system and constraint screw system of this model are obtained, Configuration synthesis conditions are proposed. Second, the type of limb constraint is obtained according to the configuration synthesis conditions, and the limb synthesis is carried out by using screw correlation and reciprocity. Finally, the constraint types of the moving platform are classified by using the constraint screw multiple set theory, and the configuration synthesis of each type is carried out, a large number of knee joint 4 DOF parallel rehabilitation mechanisms that meet the requirements are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 10295
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 12869
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Hyun, D.J.: Biomechanical design of an agile, electricity-powered lower-limb exoskeleton for weight-bearing assistance. Robot. Auton. Syst. 95, 181–195 (2017)

    Article  MathSciNet  Google Scholar 

  2. Hamon, A., Aoustin, Y., Caro, S.: Two walking gaits for a planar bipedal robot equipped with a four-bar mechanism for the knee joint. Multibody Sys.Dyn. 31(3), 283–307 (2014)

    Article  MathSciNet  Google Scholar 

  3. Aoustin, Y.: Human like trajectory generation for a biped robot with a four-bar linkage for the knees. Robot. Auton. Syst. 61(12), 1717–1725 (2013)

    Article  Google Scholar 

  4. Buśkiewicz, J.: Use of shape invariants in optimal synthesis of geared five-bar linkage. Mechanism and Machine Theory 45(2), 273–290 (2010)

    Google Scholar 

  5. Sun, Y.: Design and evaluation of a pros-thetic knee joint using the geared five-bar mechanism. IEEE Trans. Neural Sys. Rehabilit. Eng. 23(6), 1031–1038 (2015)

    Article  Google Scholar 

  6. Lee, K.M.: Kinematic and dynamic analysis of an anatom-ically based knee joint. J. Biomech. 43(7), 1231–1236 (2010)

    Article  Google Scholar 

  7. Wang, D.: Adaptive knee joint exoskeleton based on biological geometries. IEEE/ASME Trans. Mechatron. 19(4), 1268–1278 (2014)

    Article  Google Scholar 

  8. Wei, J.: Reconfiguration-aimed and manifold-operation based type synthesis of metamorphic parallel mechanisms with motion between 1R2T and 2R1T. Mech. Mach. Theory 139, 66–80 (2019)

    Article  Google Scholar 

  9. Li, Q.: Type synthesis of 3-DOF RPR-equivalent parallel mechanisms. IEEE Trans. Rob. 30(6), 1333–1343 (2014)

    Article  Google Scholar 

  10. Song, Y.: Type synthesis of 1T2R and 2R1T parallel mechanisms employing conformal geometric algebra. Mech. Mach. Theory 121, 475–486 (2018)

    Article  Google Scholar 

  11. Jun, W.: Grassmann line geometry based configuration synthesis of equivalent Uu parallel mechanisms with two virtual center-of-motion. Mechan. Machi. Theo. 181, 105208 (2023)

    Google Scholar 

  12. Li, Q.: Type synthesis of a special family of remote center-of-motion parallel manipulators with fixed linear actuators for minimally invasive surgery. J. Mech. Robot. 9(3), 031012 (2017)

    Article  Google Scholar 

  13. Xie, F.: Type synthesis of 4-DOF parallel kinematic mechanisms based on Grassmann line geometry and atlas method. Chinese J. Mechan. Eng. 26(6), 1073–1081 (2013)

    Article  MathSciNet  Google Scholar 

  14. Chong, Z.: Design of the parallel mechanism for a hybrid mobile robot in wind turbine blades polishing. Robo. Comp.-Integ. Manuf. 61, 101857 (2020)

    Article  Google Scholar 

  15. Meng, Q.: Design and development of a Schönflies-motion parallel robot with articulated platforms and closed-loop passive limbs. Robo. Comp.-Integr. Manuf. 77, 102352 (2022)

    Article  Google Scholar 

  16. Masouros, S.: (i) Biomechanics of the knee joint. Orthopaedics and Trauma 24(2), 84–91 (2010)

    Google Scholar 

  17. Varela, M.J.: A kinematic characterization of human walking by using CaTraSys. Mechan. Machi. Theo. 86, 125–139 (2015)

    Google Scholar 

  18. Patel, V.V.H.K.: A three-dimensional MRI analysis of knee kinematics. J. Orthopa. Res. 22(2), 283–292 (2004)

    Google Scholar 

  19. Komistek, R.D., Dennis, D.A., Mahfouz, M.: In vivo fluoroscopic analysis of the normal human knee. Clini. Orthopae. Rela. Res. 410(410), 69–81 (2003)

    Article  Google Scholar 

  20. Yao, Y.: Review of research on knee-postoperative rehabilitation training robot. J. Mecha. Eng. 57(05), 1–18 (2021)

    Google Scholar 

  21. Dai, J.S.: Geometrical foundations and screw algebra for mechanisms and robotics. Higher Education Press, Beijing, China (2014)

    Google Scholar 

Download references

Acknowledgment

This research work was supported by the Natural Science Foundation of Hebei Grant Numbers E2022202130.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jun Wei .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zhang, Z., Yu, B., Wang, J., Song, J., Wei, J. (2023). Configuration Synthesis of 4 DOF Knee Rehabilitation Parallel Mechanism Based on Multiset Theory. In: Yang, H., et al. Intelligent Robotics and Applications. ICIRA 2023. Lecture Notes in Computer Science(), vol 14274. Springer, Singapore. https://doi.org/10.1007/978-981-99-6501-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-6501-4_2

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-6500-7

  • Online ISBN: 978-981-99-6501-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics