F. Grappe et al., Influence of tyre pressure and vertical load on coefficient of rolling resistance and simulated cycling performance, ERGONOMICS, 42(10), 1999, pp. 1361-1371
The coefficient of rolling resistance (C-r) for pneumatic tyres is dependen
t on hysteresis loss from tyre deformation which is affected by the vertica
l force applied to the tyres (F-v) and the tyre inflation pressure (P-r). T
he purpose of this paper was to determine the relative influence of five di
fferent levels of P-r and four different levels of F-v on C-r and to examin
e the relationships of C-r with P-r and F-v during cycling locomotion. F-v
was modified through carriage of additional mass by the subject. C-r was de
termined with the coasting deceleration method from measurements performed
in a level hallway. Iterations minimizing the sum of the squared difference
between the actual deceleration distance and a predicted deceleration dist
ance were used to determine C-r. This latter distance was computed from a d
erivation based on Newton's second law applied to the forces opposing motio
n. C-r was described by a hyperbolic function of P-r (C-r = 0.1071 P-r(-0.4
77), r(2) = 0.99, p < 0.05), decreasing 62.4% from 150 kPa (C-r = 0.0101) t
o 1200 kPa (C-r = 0.0038). F-v was related to C-r by a polynomial function
(C-r = 1.92.10(-8) F-v(2) - 2.86.10(-5) F-v + 0.0142, r(2) = 0.99, p = 0.08
4), with an added mass of 15 kg (C-r = 0.0040) resulting in an 11.4% increa
se in C-r compared with no added mass (C-r = 0.0035). From this study, it i
s concluded that the relationships of P-r and F-v with C-r for cycling are
non-linear. Furthermore, a simulation model shows that changes in P-r and F
-v of the magnitude examined here have an important effect on competitive c
ycling performance.