Sa. Kautz et al., A COMPARISON OF MUSCULAR MECHANICAL ENERGY-EXPENDITURE AND INTERNAL WORK IN CYCLING, Journal of biomechanics, 27(12), 1994, pp. 1459-1467
The hypothesis that the sum of the absolute changes in mechanical ener
gy (internal work) is correlated with the muscular mechanical energy e
xpenditure (MMEE) was tested using two elliptical chainrings, one that
reduced and one that increased the internal work (compared to circula
r). Upper and lower bounds were put on the extra MMEE (work done by ne
t joint torques in excess of the external work) with respect to the ef
fect of intercompensation between joint torques due to biarticular mus
cles. This was done by having two measures of MMEE, one that allowed n
o intercompensation and one that allowed complete intercompensation be
tween joints spanned by biarticular muscles. Energy analysis showed no
correlation between internal work and the two measures of MMEE. When
compared to circular, the chainring that reduced internal work increas
ed MMEE, and phases of increased crank velocity associated with the el
liptical shape resulted in increased power absorbed by the upstroke le
g as it was accelerated against gravity. The resulting negative work n
ecessitated additional positive work. Thus, the hypothesis that the in
ternal work is correlated with MMEE was found to be invalid, and the t
otal mechanical work done cannot be estimated by summing the internal
and external work. Changes in the dynamics of cycling caused by a non-
circular chainring may affect performance and must be considered durin
g the non-circular chainring design process.