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The Geometrical Arrangement of Joint Constraints that Makes Natural Motion Possible: Experimental Verification on the Ankle

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Advances in Robot Kinematics 2020 (ARK 2020)

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Abstract

The passive motion of a joint, namely the articular motion under no external loads, provides insights into the joint physiology. It represents the baseline motion of an articulation before passive structures are loaded by external loads. Moreover, during natural motion, the strain energy density stored within ligaments and cartilage is minimized, reducing the risk of microdamage and the corresponding metabolic cost for tissue repairing. In a recent paper, we showed that the line of action of resultant forces of all the constraints provided by the passive structures in a joint must intersect the instantaneous helical axis to make the natural motion possible. In other words, the lines of action of all these constraints must cross the same line at each flexion angle to guarantee the natural motion of the joint. This geometrical property was proven theoretically and verified experimentally for the knee. To prove its generality, in this work we will verify the same property on nine ankle specimens.

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References

  1. Anderson, D.D., Iyer, K.S., Segal, N.A., Lynch, J.A., Brown, T.D.: Implementation of discrete element analysis for subject-specific, population-wide investigations of habitual contact stress exposure. J. Appl. Biomech. 26(2), 215–223 (2010)

    Article  Google Scholar 

  2. Carter, D.R.: Mechanical loading history and skeletal biology. J. Biomech. 20, 1095–1109 (1987)

    Article  Google Scholar 

  3. Conconi, M., Castelli, V.P.: A sound and efficient measure of joint congruence. Proc. Inst. Mech. Eng. H 228(9), 935–941 (2014)

    Article  Google Scholar 

  4. Conconi, M., Leardini, A., Parenti-Castelli, V.: Joint kinematics from functional adaptation: a validation on the tibio-talar articulation. J. Biomech. 48(12), 2960–2967 (2015)

    Article  Google Scholar 

  5. Conconi, M., Sancisi, N., Parenti-Castelli, V.: Subject-Specific Model of Knee Natural Motion: A Non-invasive Approach, pp. 261–269. Springer (2018)

    Google Scholar 

  6. Conconi, M., Sancisi, N., Parenti-Castelli, V.: The geometrical arrangement of knee constraints that makes natural motion possible: theoretical and experimental analysis. J. Biomech. Eng. 141(5), 051001 (2019)

    Article  Google Scholar 

  7. Deepak, S., Ananthasuresh, G.: Perfect static balance of linkages by addition of springs but not auxiliary bodies. J. Mech. Robot. 4(2), 021014 (2012)

    Article  Google Scholar 

  8. Forlani, M., Sancisi, N., Parenti-Castelli, V.: A three-dimensional ankle kinetostatic model to simulate loaded and unloaded joint motion. J. Biomech. Eng. 137(6), 061005 (2015)

    Article  Google Scholar 

  9. Franci, R., Parenti-Castelli, V., Belvedere, C., Leardini, A.: A new one-dof fully parallel mechanism for modelling passive motion at the human tibiotalar joint. J. Biomech 42(10), 1403–1408 (2009)

    Article  Google Scholar 

  10. Fujie, H., Imade, K.: Effects of low tangential permeability in the superficial layer on the frictional property of articular cartilage. Biosurf Biotribol 1(2), 124–129 (2015)

    Article  Google Scholar 

  11. Herder, J.: Energy-free systems. theory, conception and design of statically balanced spring mechanisms. Ph.D. thesis, Delft University of Technology, Delft, The Netherlands (2001)

    Google Scholar 

  12. Hunt, K.: Kinematic Geometry of Mechanisms. Clarendon Press, Oxford (1978)

    MATH  Google Scholar 

  13. Johnson, K.: Contact Mechanics. Cambridge University Press, Cambridge (1985)

    Book  MATH  Google Scholar 

  14. Kern, A.M., Anderson, D.D.: Expedited patient-specific assessment of contact stress exposure in the ankle joint following definitive articular fracture reduction. J. Biomech. 48(12), 3427–3432 (2015)

    Article  Google Scholar 

  15. Leardini, A., O’Connor, J., Catani, F., Giannini, S.: Kinematics of the human ankle complex in passive flexion; a single degree of freedom system. J. Biomech. 32(2), 111–18 (1999)

    Article  Google Scholar 

  16. Montefiori, E., Modenese, L., Di Marco, R., Magni-Manzoni, E.A.: An image-based kinematic model of the tibiotalar and subtalar joints and its application to gait analysis in children with juvenile idiopathic arthritis. J. Biomech. 85, 27–36 (2019)

    Article  Google Scholar 

  17. Sancisi, N., Baldisserri, B., Parenti-Castelli, V., Belvedere, C., Leardini, A.: One-degree-of-freedom spherical model for the passive motion of the human ankle joint. Med. Biol. Eng. Comput. 52(4), 363–373 (2014)

    Article  Google Scholar 

  18. Tsai, L.: Robot Analysis: The Mechanics of Serial and Parallel Manipulators. Wiley, Hoboken (1999)

    Google Scholar 

  19. Wilson, D., Feikes, J., Zavatsky, A., O’Connor, J.: The components of passive knee movement are coupled to flexion angle. J. Biomech. 33(4), 465–473 (2000)

    Article  Google Scholar 

  20. Wilson, D.R., Feikes, J.D., O’Connor, J.J.: Ligaments and articular contact guide passive knee flexion. J. Biomech. 31(12), 1127–1136 (1998)

    Article  Google Scholar 

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Correspondence to Michele Conconi .

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Conconi, M., Sancisi, N., Parenti-Castelli, V. (2021). The Geometrical Arrangement of Joint Constraints that Makes Natural Motion Possible: Experimental Verification on the Ankle. In: Lenarčič, J., Siciliano, B. (eds) Advances in Robot Kinematics 2020. ARK 2020. Springer Proceedings in Advanced Robotics, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-50975-0_14

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