Limiting speed for jumping

Mary Carmen Jarur; Jacques Dumais; Sergio Rica

doi:10.1016/j.crme.2019.03.005

Patterns and dynamics: homage to Pierre Coullet / Formes et dynamique : hommage à Pierre Coullet

Limiting speed for jumping
[Une vitesse limite pour le saut]

Mary Carmen Jarur ¹ ; Jacques Dumais ² ; Sergio Rica ³

¹ Universidad Católica del Maule, Talca, Chile
² Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avda. Padre Hurtado 750, Viña del Mar, Chile
³ Facultad de Ingeniería y Ciencias and UAI Physics Center, Universidad Adolfo Ibáñez, Avda. Diagonal las Torres 2640, Peñalolén, Santiago, Chile

Comptes Rendus. Mécanique, Volume 347 (2019) no. 4, pp. 305-317.

Résumé
Abstract

Des considérations mécaniques générales fournissent une limite supérieure pour la vitesse de décollage de tout sauteur, qu'il soit animé ou inanimé, qu'il soit de corps rigide ou mou, animal ou végétal. La vitesse de décollage est déterminée par le rapport entre l'énergie libérée et la masse corporelle. De plus, la force de réaction moyenne sur un support rigide lors du push-off est inversement proportionnelle à la taille caractéristique du sauteur. Ces considérations générales sont illustrées à l'aide du modèle de saut d'Alexander, qui peut être résolu exactement et qui offre un excellent accord avec les résultats mécaniques.

General mechanical considerations provide an upper bound for the take-off velocity of any jumper, animate or inanimate, rigid or soft body, animal or vegetal. The take-off velocity is driven by the ratio of released energy to body mass. Further, the mean reaction force on a rigid platform during push-off is inversely proportional to the characteristic size of the jumper. These general considerations are illustrated in the context of Alexander's jumper model, which can be solved exactly and which shows an excellent agreement with the mechanical results.

Reçu le : 2018-10-18
Accepté le : 2018-12-17
Publié le : 2019-04-01

DOI : 10.1016/j.crme.2019.03.005

Keywords: Jumping, Take-off velocity, Locomotion, Limiting speed, Biomechanics
Mot clés : Saut, Vitesse de décollage, Locomotion, Biomécanique

Affiliations des auteurs :

Mary Carmen Jarur ¹ ; Jacques Dumais ² ; Sergio Rica ³

¹ Universidad Católica del Maule, Talca, Chile
² Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avda. Padre Hurtado 750, Viña del Mar, Chile
³ Facultad de Ingeniería y Ciencias and UAI Physics Center, Universidad Adolfo Ibáñez, Avda. Diagonal las Torres 2640, Peñalolén, Santiago, Chile

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     author = {Mary Carmen Jarur and Jacques Dumais and Sergio Rica},
     title = {Limiting speed for jumping},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {305--317},
     publisher = {Elsevier},
     volume = {347},
     number = {4},
     year = {2019},
     doi = {10.1016/j.crme.2019.03.005},
     language = {en},
}

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Mary Carmen Jarur; Jacques Dumais; Sergio Rica. Limiting speed for jumping. Comptes Rendus. Mécanique, Volume 347 (2019) no. 4, pp. 305-317. doi : 10.1016/j.crme.2019.03.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.03.005/

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