Based upon the optimal control solutions to a maximum-height countermo
vement jump (CMJ) and a maximum-height squat jump (SJ), this paper pro
vides a quantitative description of how tendons and the elastic elemen
ts of muscle store and deliver energy during vertical jumping, After c
onfirming the ability of the model to replicate the major features of
each jump (i.e. muscle activation patterns, body-segmental motions, gr
ound reaction forces, jump height, and total ground contact time), the
time histories of the forces and shortening velocities of all the mus
culotendon actuators in the model were used to calculate the work done
on the skeleton by tendons as well as the series-elastic elements, th
e parallel-elastic elements, and the contractile elements of muscle. W
e found that all the elastic tissues delivered nearly the same amount
of energy to the skeleton during a CMJ and an SJ. The reason is twofol
d: first, nearly as much elastic strain energy was stored during the S
J as the CMJ; second, more stored elastic strain energy was lost as he
at during the CMJ. There was also a difference in the way energy was s
tored during each jump. During the CMJ, strain energy stored in the el
astic tissues came primarily from the gravitational potential energy o
f the skeleton as the more proximal extensor muscles were stretched du
ring the downward phase of the jump. During the SJ, on the other hand,
energy stored in the elastic tissues came primarily from the contract
ile elements as they did work to stretch the tendons and the series-el
astic elements of the muscles. Increasing tendon compliance in the mod
el led to an increase in elastic energy storage and utilization, but i
t also decreased the amount of energy delivered by the contractile ele
ments to the skeleton. Jump height therefore remained almost the same
for both jumps. These results suggest that elastic energy storage and
utilization enhance jumping efficiency much more than overall jumping
performance.