Archive of Applied Mechanics

, Volume 81, Issue 7, pp 887–897

Human leg impact: energy dissipation of wobbling masses


DOI: 10.1007/s00419-010-0458-z

Cite this article as:
Schmitt, S. & Günther, M. Arch Appl Mech (2011) 81: 887. doi:10.1007/s00419-010-0458-z


In terrestrial locomotion, the soft-tissue masses of the body undergo damped oscillations following leg impacts with the ground. Appropriate biomechanical models, therefore, describe gross soft-tissue dynamics by “wobbling masses”. We calculated mechanical energy balances of shank and thigh wobbling masses of the stance leg for the first 90 ms after touch-down in human heel-toe running. Thereto, we re-visited a data set on wobbling mass kinematics which had formerly been gained non-invasively by acquiring the motion of grids of lines painted on the skin of the corresponding muscle masses with high-speed cameras. We found frequencies ranging from 3 Hz to 55 Hz and maximum wobbling mass excursions relative to the bone ranging from 3 mm to 4 cm for the centres of mass and from 2.2° to 11.4° for the rotations. The rotational energy balance is practically neutral (±1 J). Usually, there is clearly more energy that is dissipated by wobbling mass movement in horizontal (thigh: <50 J) than in vertical direction (thigh: <15 J). There is less energy dissipated in the shank (horizontal: <10 J, vertical: <5 J). We argue that the energetic costs of separating significant wobbling masses from the skeleton may be over-compensated by avoiding metabolic costs of active impact reduction and by decreasing loads on passive skeletal structures, in particular when distal leg masses are functional, as in humans. Within reasonable biological limits, impacts are known to be even necessary for structural strengthening of bones. Beyond that, impacts might also be useful for stabilising locomotion, both by increasing basins of attraction and by providing simple mechanical signals for control.


BiomechanicsLocomotionHuman runningSoft tissueExperimental analysis

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Institut für Sport- und BewegungswissenschaftUniversität StuttgartStuttgartGermany
  2. 2.Cluster of Excellence for Simulation TechnologyUniversität StuttgartStuttgartGermany
  3. 3.Institut für Sportwissenschaft, Lehrstuhl für BewegungswissenschaftFriedrich–Schiller UniversitätJenaGermany