In article <[email hidden]>,
David L. Johnson said:How do you think you get that energy "back"? Unless that spring return
actually contributes to pushing down the other pedal, which it doesn't,
there is no way you recover that energy expended in flexing the frame.
things, then release it, but you still get tired from doing it.
You're describing things as though force to flex the frame is
in addition to whatever force is being applied for pedalling, but it is
not. The force is the same, what adds are displacements. The situation
is not that different from having a spring present between your shoe and
the pedal spindle.
To see where the energy all goes, consider where and when it is
stored. A frame that's been bent has energy stored in it, yes, but how
much it's bent depends only on the force that's applied: how much
heavier you're stepping on one pedal than the other.
This force does not change suddenly. More importantly, it goes
to zero during the transition from the downstroke for one pedal to the
downstroke for the other side. There's no energy stored in the frame
at the top and the bottom of the pedal stroke! Energy from a downstroke
isn't recovered on the upstroke as there's already none left in the
frame when the upstroke starts.
This is not to say that the frame does not participate in energy
transfer. Energy gets put into the frame during the first half of the
downstroke, with maximum stored energy coinciding with the peak pedal
force.
But, what about during the second half of the downstroke? As you
lighten up on the pedal stroke, the bottom bracket flex "unwinds". What's
your foot doing? It's still going down by a certain amount, determined by
the rate at which the chain is moving, but the extra displacement from
flex decreases as pedal force now decreases - this decreasing flex
means that your foot is now moving _LESS_ than it otherwise would. The
work going out the chain during this part of the pedal stroke is more
than what the foot is putting into the system, the difference being
from energy that was stored earlier in the downstroke.
Frame flex does not do anything to consume energy. What it
does do, is act to smooth out the power that gets delivered to the
chain: when you lunge onto a pedal, some of the work you do gets
stored in the frame rather than propel you forward immediately, so
your peak acceleration is reduced compared to a rigid but otherwise
identical frame. But this energy is not lost, with the reduced
acceleration being sustained longer as the frame unwinds. This changes
the dynamics of how the bike moves around under you as you sprint out
of the saddle, but these changes all average out through the course of
a full pedal stroke and make no difference in the amount of work you
ultimately do. A stiff frame will feel faster, but it isn't.
-Luns