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A novel mathematical formulation for predicting symmetric passive bipedal walking motion with unbalanced masses / Pooya Mahmoodi; Rajesh Ransing; Michael Friswell

Applied Mathematical Modelling, Volume: 40, Issue: 5-6, Pages: 3895 - 3906

Swansea University Authors: Pooya, Mahmoodi, Rajesh, Ransing, Michael, Friswell

Abstract

Commercial prosthetic feet weigh about 25% of their equivalent physiological counterparts. The human body is able to overcome the walking asymmetry resulting from this mass imbalance by exerting more energy. It is hypothesised that the passive walking dynamics coupled with roll-over shapes has poten...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa26355
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Abstract: Commercial prosthetic feet weigh about 25% of their equivalent physiological counterparts. The human body is able to overcome the walking asymmetry resulting from this mass imbalance by exerting more energy. It is hypothesised that the passive walking dynamics coupled with roll-over shapes has potential to suggest energy efficient walking solutions. A two link passive walking kinematic model has been proposed to study the gait pattern with unbalanced leg masses. An optimal roll-over shape for the prosthetic foot that minimises the asymmetry in the inter-leg angle and the step period is determined. The proposed mathematical formulation provides insights into the variation of step length and inter-leg angle with respect to the position and location of the centres for mass of both prosthetic and physiological legs.
Keywords: Gait analysis; Bifurcation diagrams; Phase plane limit cycle; Passive bipedal model; Transtibial amputees; Prosthetic foot
Issue: 5-6
Start Page: 3895
End Page: 3906