On the Time Allometry of Co-ordinated Rhythmic Movements.

Number 622
Year 1988
Drawer 11
Entry Date 11/17/1999
Authors Turvey, M. T., Schmidt, R. C., Rosenblum, L. D.
Contact
Publication J. Theo. Biol., 130, 285-325.
url http://www.haskins.yale.edu/Reprints/HL0622.pdf
Abstract The focus is the power formulae relating periodic time in terrestrial locomotion and flight to mass and length. The periodic timing of limbs and wings oscillating comfortably in absolute co-ordination is viewed as the characteristic period τ0 of a system in which the free, undamped oscillatory motion of a point mass m at a distance l from a fixed axis does work against two conservative forces. These forces are in the form of gravitiy g acting on the point mass and a spring of stifffnesss k acting at a distance b from the axis. The system’s characteristic period can be expressed most simply as : τ0=2π[ml2/9mlg + kb2)]1/2.
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