A Mathematical Model of the Knee Joint for Estimation of Forces and Torques During Standing-up

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 269)


In this paper, the coordinate systems of segments of human were built up to describe the standing-up motion. Based on the coordinates, a mathematical model of knee joint was developed to estimate the forces and torques and contact forces between tibia and femur, muscle forces produced by five significant muscle groups and ligament forces involved into four ligaments of human lower extremity were taking into account. The results showed that the model is efficient to estimate the knee joint force and torques.


Knee joint modeling Standing-up motion Joint force 


  1. 1.
    Agrawal SK, Fattah A (2004) Theory and design of an orthotic device for full or partial gravity-balancing of a human leg during motion. J Trans Neural Syst Rehabil Eng 12:157–164CrossRefGoogle Scholar
  2. 2.
    Lee H-Y, Kim K, Kim J et al (2011) Requirements of lower-extremity robotic exercise system for severely disabled. In: 8th international conference on ubiquitous robots and ambient intelligence. Songdo ConventiA, Incheon, pp 267–270Google Scholar
  3. 3.
    Ramaniraka NA, Terrier A, Theumann Whitton N et al (2005) Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis. J Clin Biomech 20:434–442CrossRefGoogle Scholar
  4. 4.
    Thambyah A, Pereira BP, Wyss U (2005) Estimation of bone-on-bone contact forces in the tibiofemoral joint during walking. J Knee 12:383–388Google Scholar
  5. 5.
    Heintz S, Gutierrez-Farewik EM (2007) Static optimization of muscle forces during gait in comparison to EMG-to-force processing approach. J Gait Posture 26:279–288Google Scholar
  6. 6.
    McLean SG, Su A, Van den Bogert AJ (2003) Development and validation of a 3-D model to predict knee joint loading during dynamic movement. J Trans ASME 125:864–872Google Scholar
  7. 7.
    Haut Donahue TL, Hull ML, Rashid MM et al (2002) A finite element model of the human knee joint for the study of tibio-femoral contact. J Biomech Eng 124:273–279CrossRefGoogle Scholar
  8. 8.
    Zheng N, Fleisig GS, Escamilla RF et al (1998) An analytical model of the knee for estimation of internal forces during exercise. J Biomech 31:963–967CrossRefGoogle Scholar
  9. 9.
    Herzog W, Read LJ (1993) Lines of action and moment arms of the major force-carrying structures crossing the human knee joint. J Anat 182:213–230Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.School of Mechanical and Electrical EngineeringHarbin Institute of TechnologyHarbinChina

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