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Modeling the lateral pedestrian force on a rigid floor by a self-sustained oscillator

Abstract : The main goal of this paper is the definition of a nonlinear single-degree-of-freedom oscillator able to accurately predict the lateral walking force of a pedestrian. The force exerted on the floor corresponds to its restoring force. The rigid floor case is analyzed, leading to an autonomous oscillator. Even though such an oscillator is a simplified representation of the human body, it should be able to reproduce two experimentally observed phenomena: (i) the time-history of lateral force is an approximately periodic signal; (ii) the walking motion is self-sustained, in the sense that the pedestrian/oscillator produces by itself the energy needed to sustain its motion. This implies that such an oscillator must be self-sustained. In addition, the self-sustained character entails that the autonomous oscillation has a natural amplitude and frequency, representing the natural walking amplitude and frequency of the pedestrian. An original model is proposed by modifying the so-called hybrid Van der Pol/Rayleigh oscillator, already used for applications in the field of robotics. A dynamic analysis of this oscillator is then performed through an energetic approach and a perturbation technique in order to get the stable limit cycle. The model parameters are finally identified from the experimental force signals, resulting from a test campaign on a population of 12 pedestrians: the agreement between model and experimental results is very good.
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https://hal-enpc.archives-ouvertes.fr/hal-00625443
Contributeur : Pierre Argoul <>
Soumis le : mercredi 21 septembre 2011 - 16:16:04
Dernière modification le : vendredi 17 juillet 2020 - 17:09:09

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Silvano Erlicher, Andrea Trovato, Pierre Argoul. Modeling the lateral pedestrian force on a rigid floor by a self-sustained oscillator. Mechanical Systems and Signal Processing, Elsevier, 2010, 24 (5), pp.1579-1604. ⟨10.1016/j.ymssp.2009.11.006⟩. ⟨hal-00625443⟩

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