Manufacturing Technology 2018, 18(5):704-708 | DOI: 10.21062/ujep/164.2018/a/1213-2489/MT/18/5/704

Mathematical Model of the RRR Anthropomorphic Mechanism for 2D Biomechanical Analysis of a Deep Squat and Related Forms of Movement

Václav Bittner1,2, Radim ©tryncl2, Karel Jelen2, Martin Svoboda3
1 Faculty of Science, Humanities and Education, Technical University of Liberec, Studentská 2, Liberec, Czech Republic
2 Faculty of Physical Education and Sport, Charles University in Prague, José Martího 31, Praha 6, Czech Republic
3 Faculty of Mechanical Engineering, Jan Evangelista Purkynì University in Ústí nad Labem, Pasteurova 1, Ústí nad Labem, Czech Republic

The aim of this study was to create a mathematical model of the RRR anthropomorphic mechanism for a 2D biomechanical analysis of a deep squat and related forms of movement. The segment stick model is designed to diagnose the movement with sagittal plan symmetry. Based on the input data from kinematic and dynamometric analysis, and from the anthropometric data of the monitored person, it is possible to estimate the resulting momentum of the forces acting on the main joints of the lower body. The technology may be applied in analysing deep squats, studying the dynamics of vertical reflection as well as in the biomechanical analysis of related forms of movement (e.g. standing-up, squatting with a dumbbell, skiing in downhill posture, etc.). The derived motion equations may be used to analyse the dynamics of the movement of anthropomorphic or mechatronic systems with the same geometry.

Keywords: Mathematical model, RRR mechatronic system, anthropomorphic mechanism, biomechanical analysis of movement

Published: October 1, 2018  Show citation

ACS AIP APA ASA Harvard Chicago IEEE ISO690 MLA NLM Turabian Vancouver
Bittner V, ©tryncl R, Jelen K, Svoboda M. Mathematical Model of the RRR Anthropomorphic Mechanism for 2D Biomechanical Analysis of a Deep Squat and Related Forms of Movement. Manufacturing Technology. 2018;18(5):704-708. doi: 10.21062/ujep/164.2018/a/1213-2489/MT/18/5/704.
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. BLOOMQUIST, K., et al. ()2013). Effect of range of motion in heavy load squatting on muscle and tendon adaptations. European Journal of applied physiology. 2013, 113(8), 2133-42. ISSN 1430-6319. Go to original source...
    2. BRYANTON, Megan A., et al. (2012). Effect of squat depth and barbell load on relative muscular effort in squatting. Journal of Strength and Conditioning Research. 2012, 26(10), 2820-8. ISSN 1064-8011. Go to original source...
    3. ESFORMES, Joseph I. a Theodoros M. BAMPOURAS. (2013). Effect of back squat depth on lower-body postactivation potentiation. Journal of Strength and Conditioning Research. 2013, 27(11), 2997-3000. ISSN 1064-8011. Go to original source...
    4. HARTMANN, Hagen, et al. (2012). Influence of squatting depth on jumping performance. Journal of Strength and Conditioning Research. 2012, 26(12), 3243-63. ISSN 1064-8011. Go to original source...
    5. ZACIORSKIJ, V. M., ARUIN, A. S., & SELUJANOV, V. N. (1981). Biomechanics of the locomotor apparatus of man. 1981. Moskva: FiS.
    6. RAVNIK, D., VRANÝ, J., JELEN, K., BITTNER, V. (2017). Biomechanical Aspects of Assisting Patients in Standing up in the Context of Ergonomics. ZUNJIC, Aleksandar. Ergonomic Design and Assessment of Products and Systems. 2017. New York: Nova Science Publishers, s. 19. ISBN 978-1-53611-784-4.
    7. MORASSO, Pietro G., Gino SPADA a Roberto CAPRA. (1999). Computing the COM from the COP in postural sway movements. Human Movement Science. 1999. 18(6), 759-767. DOI: 10.1016/S0167-9457(99)00039-1. ISSN 01679457. Go to original source...
    8. SEDLAK, J., CHLADIL, J., SLANY, M., KOURIL, K. (2014). Introduction to processing of CT clinical metadata of disabled part of patient knee joint. Manufacturing Technology. 2014. 14(4), pp. 611-618. Go to original source...
    9. SEDLAK, J., SLANY, M., FIALA, Z., JAROS, A. Production method of implant prototype of knee-joint femoral component. Manufacturing Technology; 2015; 15(2), pp. 195-204 Go to original source...
    10. VAVRO, J., VAVRO, J., KOVÁÈIKOVÁ, P., BEZDEDOVÁ, R., HÍRE©, (2017). Kinematic and dynamic analysis and distribution of stress in items of planar mechanisms by means of the MSC ADAMS software. Manufacturing Technology. 2017. 17(3), pp. 397-401. Go to original source...

    This is an open access article distributed under the terms of the Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), which permits non-comercial use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content