[comp.robotics] Treads

wli@fornax.UUCP (William Li) (01/19/91)

I'm doing some work on a mobile robot and have decided on using
rubber-belted treads, much as on a tank, to propel the beast.
What I was wondering was, does anyone know of any good books
on tread/track or even wheel dynamics?  I'm not so much 
concerned with rolling friction as with turning characteristics.
I'd like to be able to predict where and how the vehicle will
turn. (and yes, I know that if I apply reverse to one tread
and forward to the other, I can "turn on a dime, just like
the Abrams"!)

The current system I am considering simply brakes and cuts 
power to one tread while running power to the other.  In 
playing with a toy tank that does this, I noticed that the
pivot point was about the most forward point of the stopped
tread which contacted the ground -- roughly the mid-point
of the tread, because of curvature in the tread bottom.
This makes sense to me, intuitively and pseudo-mathematically
with some free-body diagrams.  However, my experience isn't
particularly mechanical, and I'd like some mathematics to
back this up.

Particular things I'd like to find out are:
	o what are the conditions for the tank to rotate
	  about a given point?
	o given that slippage is the only way by which a
	  dual-treaded vehicle can turn, what what will be
	  the effect of supplying power to both treads
	  simultaneously?
If anyone could send or post a book reference on wheel or
tread characterization, I'd really appreciate it.  Nothing
on drive-*linkages*, though -- I've got material on linkages
and gearing coming out of my ears.  For some strange 
reason, though, there's a grand total of *two* books in 
the entire library dealing with rubber pneumatic tires,
neither of which are particularly enlightening about treads.
In fact, none of the robotics and automation or machine
design sources I looked at seemed to even faintly *allude*
to the most important part of the vehicle -- that which 
contacts the road!

Thanks in advance.

- William Li

  School of Engineering Science
  Simon Fraser University
  Burnaby, British Columbia  V5A 1S6
  (604) 291-4451