Abstract
Vertical jumping is one of the fundamental motions among other jumping types in sport biomechanics. Two important criteria in sport biomechanics are critical to all athletes: Injury and performance. In literature two major approaches have been investigated: experiment-based methods and optimization-based methods. Experiment-based methods are time consuming and tedious. Optimization-based methods for musculoskeletal models are computationally expensive because their models include all muscles and explicit integration of equation of motion. In this pilot study, a direct optimization-based method for a skeletal model was proposed in sagittal plane, where this formulation was based on joint space that was only considered the resultant results of muscles (joint torques) instead of individual muscles to reduce computational time. The cost function included increasing the center of mass velocity at take-off and increasing the center of mass position at take-off. Constraints included joint limits, torque limits, initial posture, ground contact, initial angular velocity and acceleration, zero-ground reaction forces, and moment at take-off. This optimization problem was solved by a commercial optimization solver SNOPT and the CPU time was 227 seconds on a regular PC (IntelĀ® CoreĀ® 2 duo CPU, 3.16 GHZ and 3.25 GB RAM). Preliminary results highly correlated results from the literature. This simple planar simulation is the first step to understand the cause and effect for vertical jumping with or without arm swing.
Chapter PDF
Similar content being viewed by others
References
Cheng, K.B., Wang, C.H., Chen, H.C., Wu, C.D., Chiu, H.T.: The mechanisms that enablearm motion to enhance vertical jump performance-A simulation study. Journal of BiomechanicsĀ 41, 1847ā1854 (2008)
Denavit, J., Hartenberg, R.S.: A kinematic notation for lower-pair mechanisms based on matrices. Journal of Applied MechancisĀ 22, 215ā221 (1955)
Feltner, M.E., Frasceti, D.J., Crisp, R.J.: Upper extremity augmentation of lower extremity kinetics during countermovement vertical jumps. Journal of Sports SciencesĀ 17, 449ā466 (1999)
Hara, M., Shibayama, A., Takeshita, D., Fukashiro, S.: The effect of arm swing on lower extremities in vertical jumping. Journal of BiomechanicsĀ 39, 2503ā2511 (2006)
Harman, E.A., Rosenstein, M.T., Frykman, P.N., Rosenstein, R.M.: The effects of arms and countermovement on vertical jumping. Medicine and Science in Sports and ExerciseĀ 22, 825ā833 (1990)
Khalid, W., Amin, M., Bober, T.: The influence of upper extremities movement on take-off in vertical jump. Biomechanics in Sports, 375ā379 (1989)
Lees, A., Vanrenterghem, J., Clercq, D.D.: Understanding how an arm swing enhances performance in the vertical jump. Journal of BiomechanicsĀ 37, 1929ā1940 (2004)
Luhtanen, P., Komi, P.V.: Segmental contribution to forces in vertical jump. European Journal of Applied Physiology and Occupational PhysiologyĀ 38, 181ā188 (1978)
Ozsoy, B., Yang, J., Boros, R.: Human jumping motion analysis and simulation- a literature review. In: 3rd International Conference on Applied Human Factors and Ergonomics, Miami, Florida, July 17-20 (2010)
Pandy, M.G., Zajac, F.E., Sim, E., Levine, W.S.: An optimal control model for maximum-height human jumping. Journal of BiomechanicsĀ 23, 1185ā1198 (1990)
Shetty, A.B., Etnyre, B.R.: Contribution of arm movement to the force components of a maximum vertical jump. Journal of Orthopedic and Sports TherapyĀ 11, 198ā201 (1989)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Ā© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ozsoy, B., Yang, J.(. (2011). Planar Vertical Jumping Simulation-A Pilot Study. In: Duffy, V.G. (eds) Digital Human Modeling. ICDHM 2011. Lecture Notes in Computer Science, vol 6777. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21799-9_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-21799-9_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21798-2
Online ISBN: 978-3-642-21799-9
eBook Packages: Computer ScienceComputer Science (R0)