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Fig. 3. (A) The Individual Limbs Method (ILM), proposed by Donelan et al.
(2002), models the legs as two
rigid struts joined by the centre of mass (COM). Single support is considered
as a pendular phase during which the COM moves over the stiff supporting limb.
Energy exchange is allowed between Ep and
Ek. Double support is a transition state during which the
COM is redirected from one pendular arc to the next. To maintain a constant
walking speed, the propulsive back leg (black lines) has to perform work to
overcome the braking action of the front leg (grey lines) on the COM. When
using the classical method of calculating work performed on the COM (i.e. by
integration of the resultant of forces underneath both feat) simultaneous
positive (Wy,back) and negative
(Wy,front) work is cancelled out and work during double
contact is underestimated. The ILM calculates the amount of positive work
performed by the front and back limb separately, consequently opposite work of
both limbs during double contact is not cancelled out. (B) Bastien et al.
(2003) proposed an alternative
method for calculating internal work during double contact
(Wint,dc). The legs are seen as two oscillating actuators
performing work on the COM. Since both are performing work on the same
structure, they can also perform work on each other. Consequently the energy
absorbed when the downward movement of the COM is slowed down after foot
contact, (Wv is decreasing during the first half of double
support) can be used by the propulsive back limb to accelerate the COM forward
(transfer of energy from Wv to
Wy,back). Also, the energy absorbed by the front limb
(Wy,front) can be used during the second half of double
support to lift the COM against gravity (transfer from
Wy,front to Wv, which is increasing
during the second half of double support). Allowing for this energy transfer
between the front and back limb will reduce the amount of work that has to be
performed by the back limb to overcome the braking action of the front limb.
F, force component.