A long-lasting challenge in comparative physiology is to understand why the efficiency of the mechanical work done to maintain locomotion increases with body mass. It has been suggested that this is due to a more elastic step in larger animals. Here we show that in running, hopping trotting animals and in human running during growth the resonant frequency of the bouncing system decreases with increasing body mass with the same trend surprisingly independent of different animal species and gaits. Step frequency about equals the resonant frequency in trotting and running whereas it is about half the resonant frequency in hopping. The energy loss by elastic hysteresis during loading-unloading the bouncing system from its equilibrium position decreases with increasing body mass. Similarity to a symmetric bounce increases with increasing body mass and, for a given body mass, seems to be maximal in hopping, intermediate in trotting and minimal in running. We conclude that: i) tuning step frequency to the resonant frequency of the bouncing system coincides with a lower hysteresis loss in larger more compliant animals, ii) the mechanism of gait per se affects similarity with a symmetric bounce independent of hysteresis and iii) the greater efficiency in larger animals may be due, at least in part, to a lower hysteresis loss.
Running, hopping and trotting: tuning step frequency to the resonant frequency of the bouncing system favors larger more compliant animals
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G. A. Cavagna, M. A. Legramandi; Running, hopping and trotting: tuning step frequency to the resonant frequency of the bouncing system favors larger more compliant animals. J Exp Biol 2015; jeb.127142. doi: https://doi.org/10.1242/jeb.127142
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