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Physiological Aspects of Legged Terrestrial Locomotion pp 167–201Cite as

Bouncing Gaits: Running, Trotting and Hopping

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Abstract

This chapter describes the mechanism of running, hopping and trotting. In these gaits, opposite to walking, kinetic energy of forward motion and gravitational potential energies of the center of mass of the body oscillate in phase during the step. The step period is divided into ‘effective’ contact time, t ce, and aerial time, t ae, corresponding to a vertical force exerted on the ground greater respectively lower than body weight. At low running speeds and in trotting t ce = t ae, the rebound is on-off-ground symmetric, and the step frequency equals the resonant frequency of the bouncing system. At high running speeds and in hopping t ce < t ae, the rebound is on-off-ground asymmetric, and the step frequency is lower than the resonant frequency of the bouncing system. Furthermore, in all bouncing gaits (from turkeys to humans) the duration of the brake following impact on the ground is shorter than the duration of the subsequent push, i.e., t brake < t push, which is expression of a landing-takeoff asymmetry: hard landing-soft takeoff. The landing-takeoff asymmetry implies that the average force exerted during the brake, when the muscles are stretched, is greater than that exerted during the push when the muscles shorten. This means that very different machines (lever systems) comply with the basic characteristics of the motor (muscle), unchanged from frog to humans, to resist stretching with a force greater than that exerted during shortening. When the operation of the machine is reversed, as in backward running, the resulting soft landing-hard takeoff results in a decreased efficiency.

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References

  • Bates BT, Morrison E, Hamill J (1986) A comparison between forward and backward running. In: Adrian M, Deutsch H (eds) Proceedings of the 1984 olympic scientific congress: biomechanics. Microform Publications, University of Oregon, pp 127–135

    Google Scholar 

  • Blickhan R (1989) The spring-mass model for running and hopping. J Biomech 22:1217–1227

    Article  Google Scholar 

  • Bullimore SR, Burn JF (2006) Consequences of forward translation of the point of force application for the mechanics of running. J Theor Biol 238:211–219

    Article  Google Scholar 

  • Carrier DR, Heglund NC, Earls KD (1994) Variable gearing during locomotion in the human musculoskeletal system. Science 265:651–653

    Article  Google Scholar 

  • Cavagna GA (1970) Elastic bounce of the body. J Appl Physiol 29:279–282

    Google Scholar 

  • Cavagna GA (2006) The landing-take-off asymmetry in human running. J Exp Biol 209:4051–4060

    Article  Google Scholar 

  • Cavagna GA (2010) Symmetry and asymmetry in bouncing gaits. Symmetry 2:1270–1321

    Article  Google Scholar 

  • Cavagna GA, Legramandi MA (2009) The bounce of the body in hopping, running and trotting: different machines with the same motor. Proc Roy Soc Lond B Biol 276:4279–4285

    Article  Google Scholar 

  • Cavagna GA, Margaria R (1966) Mechanics of walking. J Appl Physiol 21:271–278

    Google Scholar 

  • Cavagna GA, Saibene FP, Margaria R (1964) Mechanical work in running. J Appl Physiol 19:249–256

    Google Scholar 

  • Cavagna GA, Thys H, Zamboni A (1976) The sources of external work in level walking and running. J Physiol (Lond) 262:639–657

    Article  Google Scholar 

  • Cavagna GA, Heglund NC, Taylor CR (1977) Mechanical work in terrestrial locomotion: two basic mechanisms for minimizing energy expenditure. Am J Physiol 233:R243–R261

    Google Scholar 

  • Cavagna GA, Franzetti P, Heglund NC, Willems P (1988) The determinants of the step frequency in running, trotting and hopping in man and other vertebrates. J Physiol (Lond) 399:81–92

    Article  Google Scholar 

  • Cavagna GA, Mantovani M, Willems PA, Musch G (1997) The resonant step frequency in human running. Pflugers Arch 434:678–684

    Article  Google Scholar 

  • Cavagna GA, Hegland NC, Willems PA (2005) Effect of an increase in gravity on the power output and the rebound of the body in human running. J Exp Biol 208:2333–2346

    Article  Google Scholar 

  • Cavagna GA, Legramandi MA, Peyré-Tartaruga LA (2008) The landing-take-off asymmetry of human running is enhanced in old age. J Exp Biol 211:1571–1578

    Article  Google Scholar 

  • Cavagna GA, Legramandi MA, La Torre A (2011) Running backwards: soft landing-hard takeoff, a less efficient rebound. Proc Roy Soc Lond B Biol 278:339–346

    Article  Google Scholar 

  • Cavagna GA, Legramandi MA, La Torre A (2012) An analysis of the rebound of the body in backward human running. J Exp Biol 215:75–84

    Article  Google Scholar 

  • DeVita P, Stribling J (1991) Lower extremity joint kinetics and energetics during backward running. Med Sci Sports Exerc 23:602–610

    Article  Google Scholar 

  • Farley CT, Glasheen J, McMahon TA (1993) Running springs: speed and animal size. J Exp Biol 185:71–86

    Google Scholar 

  • Fenn WO (1930a) Frictional and kinetic factors in the work of sprint running. Am J Physiol 92:582–611

    Google Scholar 

  • Fenn WO (1930b) Work against gravity and work due to velocity changes in running. Am J Physiol 93:433–462

    Google Scholar 

  • Ferris DP, Farley CT (1997) Interaction of leg stiffness and surface stiffness during human hopping. J Appl Physiol 82:15–22

    Google Scholar 

  • Ferris DP, Liang K, Farley CT (1999) Runners adjust leg stiffness for their first step on new running surface. J Biomech 32:787–794

    Article  Google Scholar 

  • Flynn TW, Soutas-Little RW (1993) Mechanical power and muscle action during forward and backward running. J Orthop Sports Phys Ther 17:108–112

    Article  Google Scholar 

  • Flynn TW, Connery SM, Smutok MA, Zeballos RJ, Weisman I (1994) Comparison of cardiopulmonary responses to forward and backward walking and running. Med Sci Sports Exerc 26:89–94

    Article  Google Scholar 

  • Halliday D, Resnick R (1964) Fisica generale. Casa Editrice Ambrosiana, Milano

    Google Scholar 

  • Hill AV (1950) The series elastic component of muscle. Proc Roy Soc Lond B Biol 137:273–280

    Article  Google Scholar 

  • Kerdok AE, Biewener AA, McMahon TA, Weyand PG, Herr HM (2002) Energetics and mechanics of human running on surfaces of different stiffnesses. J Appl Physiol 92:469–478

    Article  Google Scholar 

  • Margaria R (1938) Sulla fisiologia e specialmente suI consumo energetico della marcia e della corsa a varie velocita ed inclinazioni del terreno. Atti Reale Accad Naz Lincei Mem 7:299–368

    Google Scholar 

  • Margaria R, Cavagna GA (1964) Human locomotion in subgravity. Aerosp Med 35:1140–1146

    Google Scholar 

  • McGowan CP, Baudinette RV, Biewener AA (2008) Differential design for hopping in two species of wallabies. Comp Biochem Physiol Part A 150:151–158

    Article  Google Scholar 

  • McMahon TA (1987) The spring in the human foot. Nature 325:108–109

    Article  Google Scholar 

  • McMahon TA, Cheng GC (1990) The mechanics of running: how does stiffness couple with speed? J Biomech 23:65–78

    Article  Google Scholar 

  • Muybridge E (1955) The human figure in motion. Dover Publications, New York

    Google Scholar 

  • Schepens B, Willems PA, Cavagna GA (1998) The mechanics of running in children. J Physiol 509:927–940

    Article  Google Scholar 

  • Threlkeld AJ, Horn TS, Wojtowicz GM, Rooney JG, Shapiro R (1989) Kinematics, ground reaction force, and muscle balance produced by backward running. J Orthop Sports Phys Ther 11:56–63

    Article  Google Scholar 

  • Wright S, Weyand PG (2001) The application of ground force explains the energetic cost of running backward and forward. J Exp Biol 204:1805–1815

    Google Scholar 

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Authors and Affiliations

  1. Department of Physiology, Milano State University, Milan, Italy

    Giovanni Cavagna

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  1. Giovanni Cavagna
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Correspondence to Giovanni Cavagna .

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Cavagna, G. (2017). Bouncing Gaits: Running, Trotting and Hopping. In: Physiological Aspects of Legged Terrestrial Locomotion. Springer, Cham. https://doi.org/10.1007/978-3-319-49980-2_8

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  • DOI: https://doi.org/10.1007/978-3-319-49980-2_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49979-6

  • Online ISBN: 978-3-319-49980-2

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