Key Leads and Inertia

Stephen Birkett sbirkett@real.uwaterloo.ca
Tue, 10 Jun 2003 01:44:37 -0400


>Grin... are you calling me "levitatious" ?? Why Stephen... and I 
>hardly know you !!

Hmmm.

>As far as I can see Stephen, the only real problem here is to find 
>what Ik is, and to do that we need to first be sure of what you mean 
>it to be. Specifically your notation leads one to easily think of 
>either the keys inertia in general or the keys inertia at the center 
>of mass.

Let's adopt the simpler [just as useful] approach you and Phil 
suggested. Point mass action acting at the capstan, plus distributed 
mass keystick. We need estimates for: (i) action mass at the capstan 
(weight will do), (ii) mass of the key *without* leads]. Perhaps you 
have such data from your key balancing work Richard? Also key 
geometry.

>The center of mass rk having been now specified as a << distance 
>from the fulcrum quantity >> presumably is not exactly stable at one 
>point throughout the whole key stroke.
>In either case I would guess that both the center of mass and the 
>keys inertia would change throughout a stable key stroke (stable 
>velocity) in a fashion somewhat more complicated then either a first 
>or second degree curve on a graph would represents.  I'm just 
>guessing here of course. But maybe the shape of these two curves is 
>something that should concern us ??

None of this is important for simple illustration as we're doing, but 
it is all important for real action modelling - that's the reason for 
developing the more sophisticated dynamic model as I'm up to at the 
moment.

Stephen
-- 
Dr Stephen Birkett
Associate Professor
Department of Systems Design Engineering
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1

Davis Building Room 2617
tel: 519-888-4567 Ext. 3792
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mailto: sbirkett[at]real.uwaterloo.ca
http://real.uwaterloo.ca/~sbirkett

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