Abstract
The aim of this study was to compute and analyze the workspace of a tibiofemoral joint. To facilitate this research, an established, planar multibody model the joint was used. The model was composed of two rigid bodies corresponding to the tibia/fibula complex and the femur. These bodies were connected by a system of four nonlinear cables representing the ligaments and two Hertzian contact pairs, which modeled the cartilage of the knee. The workspace was computed by iteratively modifying the location of the tibia/fibula segment, specified by two linear coordinates and one angular coordinate. At each location, custom software prepared in Python iterated over the six elements of the joint and computed the loads that they generated. These loads were then compared to the maximal safe loads taken from published experimental studies. The obtained workspace of the tibiofemoral joint was moon-shaped with varying thickness. The largest workspace area was observed for a partially bent knee at 40.00°. Furthermore, significant reductions in the workspace were noted for hyperextension and deep flexion.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ciszkiewicz, A., Milewski, G.: Path planning for minimally-invasive knee surgery using a hybrid optimization procedure. Comput. Methods Biomech. Biomed. Eng. 21, 47–54 (2018)
Klekiel, T., Będziński, R.: Finite element analysis of large deformation of articular cartilage in upper ankle joint of occupant in military vehicles during explosion. Arch. Metall. Mater. 60, 2115–2121 (2015)
Tak-Man Cheung, J., Zhang, M., An, K.N.: Effects of plantar fascia stiffness on the biomechanical responses of the ankle-foot complex. Clin. Biomech. 19, 839–846 (2004)
Szkoda-Poliszuk, K., Żak, M., Pezowicz, C.: Finite element analysis of the influence of three-joint spinal complex on the change of the intervertebral disc bulge and height. Int. J. Numer. Method Biomed. Eng. 34 (2018)
Latypova, A., Arami, A., Becce, F., Jolles-Haeberli, B., Aminian, K., Pioletti, D.P., Terrier, A.: A patient-specific model of total knee arthroplasty to estimate patellar strain: a case study. Clin. Biomech. 32, 212–219 (2016)
Arkusz, K., Klekiel, T., Sławiński, G., Będziński, R.: Pelvic vertical shear fractures: the damping properties of ligaments depending on the velocity of vertical impact load. In: AIP Conference Proceedings 2078, p. 020077 (2019)
Kubicek, M., Florian, Z.: Stress strain analysis of knee joint. Eng. Mech. 16, 315–322 (2009)
Machado, M., Flores, P., Claro, J.C.P., Ambrósio, J., Silva, M., Completo, A., Lankarani, H.M.: Development of a planar multibody model of the human knee joint. Nonlinear Dyn. 60, 459–478 (2009)
Parenti-Castelli, V., Leardini, A., Gregorio, R., O’Connor, J.: On the modeling of passive motion of the human knee joint by means of equivalent planar and spatial parallel mechanisms. Aut. Robot. 16, 219–232 (2004)
Leardini, A., O’Connor, J.J., Catani, F., Giannini, S.: A geometric model of the human ankle joint. J. Biomech. 32, 585–591 (1999)
Ciszkiewicz, A., Milewski, G.: Ligament-based spine-segment mechanisms. Bull. Polish Acad. Sci. Tech. Sci. 66, 705–712 (2018)
Ciszkiewicz, A., Knapczyk, J.: Load analysis of a patellofemoral joint by a quadriceps muscle. Acta Bioeng. Biomech. 18, 111–119 (2016)
Ciszkiewicz, A., Milewski, G.: A novel kinematic model for a functional spinal unit and a lumbar spine. Acta Bioeng. Biomech. 18, 87–95 (2016)
Gudavalli, M.R., Triano, J.J.: An analytical model of lumbar motion segment in flexion. J. Manipulative Physiol. Ther. 22, 201–208 (1999)
Delp, S.L., Anderson, F.C., Arnold, A.S., Loan, P., Habib, A., John, C.T., Guendelman, E., Thelen, D.G.: OpenSim: open-source software to create and analyze dynamic simulations of movement. IEEE Trans. Biomed. Eng. 54, 1940–1950 (2007)
Montefiori, E., Modenese, L., Di Marco, R., Magni-Manzoni, S., Malattia, C., Petrarca, M., Ronchetti, A., de Horatio, L.T., van Dijkhuizen, P., Wang, A., Wesarg, S., Viceconti, M., Mazzà, C.: 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)
Apkarian, J., Naumann, S., Cairns, B.: A three-dimensional kinematic and dynamic model of the lower limb. J. Biomech. 22, 143–155 (1989)
Zuk, M., Syczewska, M., Pezowicz, C.: Influence of uncertainty in selected musculoskeletal model parameters on muscle forces estimated in inverse dynamics-based static optimization and hybrid approach. J. Biomech. Eng. 140, 121001 (2018)
Sancisi, N., Parenti-Castelli, V.: A 1-Dof parallel spherical wrist for the modelling of the knee passive motion. Mech. Mach. Theory 45, 658–665 (2010)
Moeinzadeh, M.H., Engin, A.E., Akkas, N.: Two- dimensional dynamic modeling of human knee joint. J. Biomech. 316, 253–264 (1983)
Abdel-Rahman, E., Hefzy, M.S.: A two-dimensional dynamic anatomical model of the human knee joint. J. Biomech. Eng. 115, 357–365 (1993)
Caruntu, D.I., Hefzy, M.S.: 3-D anatomically based dynamic modeling of the human knee to include tibio-femoral and patello-femoral joints. J. Biomech. Eng. 126, 44 (2004)
Blankevoort, L., Huiskes, R.: Ligament-bone interaction in a three-dimensional model of the knee. J. Biomech. Eng. 113, 263–269 (1991)
Machado, M., Flores, P., Ambrosio, J., Completo, A.: Influence of the contact model on the dynamic response of the human knee joint. Proc. Inst. Mech. Eng. Part K J. Multibody Dyn. 225, 344–358 (2011)
Crowninshield, R., Pope, M.H., Johnson, R.J.: An analytical model of the knee. J. Biomech. 9, 397–405 (1979)
Zheng, N., Fleisig, G.S., Escamilla, R.F., Barrentine, S.W.: An analytical model of the knee for estimation of internal forces during exercise. J. Biomech. 31, 963–967 (1998)
Ciszkiewicz, A., Lorkowski, J., Milewski, G.: A novel planning solution for semi-autonomous aspiration of Baker’s cysts. Int. J. Med. Robot. e1882 (2018)
Hertz, H.: On the contact of solids—on the contact of rigid elastic solids and on hardness. In: Miscellaneous Papers, pp. 146–183. Macmillan, London (1896)
Galvin, C.R., Perriman, D.M., Newman, P.M., Lynch, J.T., Smith, P.N., Scarvell, J.M.: Squatting, lunging and kneeling provided similar kinematic profiles in healthy knees—a systematic review and meta-analysis of the literature on deep knee flexion kinematics. Knee 25, 514–530 (2018)
van der Walt, S., Colbert, S.C., Varoquaux, G.: The NumPy array: a structure for efficient numerical computation. Comput. Sci. Eng. 13, 22–30 (2011)
Skorupa, A., Skorupa, M.: Wytrzymałość materiałów: wybrane zagadanienia dla mechaników. Wydawnictwo AGH, Kraków (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Gałuszka, J., Ciszkiewicz, A. (2020). A Workspace Analysis for a Planar Model of a Tibiofemoral Joint - A Preliminary Study. In: Korbicz, J., Maniewski, R., Patan, K., Kowal, M. (eds) Current Trends in Biomedical Engineering and Bioimages Analysis. PCBEE 2019. Advances in Intelligent Systems and Computing, vol 1033. Springer, Cham. https://doi.org/10.1007/978-3-030-29885-2_27
Download citation
DOI: https://doi.org/10.1007/978-3-030-29885-2_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-29884-5
Online ISBN: 978-3-030-29885-2
eBook Packages: EngineeringEngineering (R0)