is it possible to drive in this view?
Actually, as slip angle is increased, the cornering force increases
to a peak, and then is approximately constant right out to 90 deg.
Once the slip angle is past the peak you can think of the tire as
just a slab of *** sliding on the road--changing the slip angle
doesn't have much effect on the side force.
So, the tread won't spring back as you suggest. If the
the car has spun half-way-round and is moving backwards, the tread
will re-center when the slip angles are near zero (or 180, if you
prefer to think of it that way).
-- Doug
Doug Milliken
Milliken Research Associates Inc.
On Mon, 23 Nov 1998 02:36:26 GMT, Doug Milliken
>So, the tread won't spring back as you suggest. If the
>the car has spun half-way-round and is moving backwards, the tread
>will re-center when the slip angles are near zero (or 180, if you
>prefer to think of it that way).
You're not THAT Douglas Milliken, are you?
(I'm referring to the Milliken who co-wrote "The Big,
Intimidating Book of Why Cars Go Fast")
Martin
Nigel Mansell RIP!
Yes, that is _the_ Doug Milliken :)
What he is saying is that the slip angle v. Coefficeint
of Friction chart looks something like this:
| ---
| / \
| / -------------
| / cf | /
| /
| /
| /
| /
|/ ---------------------------
slip angle in degrees
When the tire passes the peak slip angle, the friction
force drops, but not as drastically as you suggest.
There will still be considerable force rolling the
tire sidewall, even while skidding at 90 degrees, so
the tire will not "snap back" in any visually
percievable amount. In any event, the transition
is gradual.
--
Pat Dotson
IMPACT Motorsports
http://www.impactmotorsports.com/pd.html
Quoted text (17 lines)
> But I thought that as slip angle increases,so does the tire stretching from > the rim up until the tires contact patch loses total grip,at which point the > tire snaps back since theres no pressure twisting it anymore.I reasoned that > > Actually, as slip angle is increased, the cornering force increases > > to a peak, and then is approximately constant right out to 90 deg. > > Once the slip angle is past the peak you can think of the tire as > > just a slab of *** sliding on the road--changing the slip angle > > doesn't have much effect on the side force. > > So, the tread won't spring back as you suggest. If the > > Doug MillikenQuoted text (7 lines)
> When the tire passes the peak slip angle, the friction > force drops, but not as drastically as you suggest. > There will still be considerable force rolling the > tire sidewall, even while skidding at 90 degrees, so > the tire will not "snap back" in any visually > percievable amount. In any event, the transition > is gradual.The car is sliding completely out of control, therefore nothing aplies.
Thank you
Steven
> Yes, that is _the_ Doug Milliken :)
Right -- Just got back from the latest NASCAR Silicon Motor Speedway (Nyack
NY). It should be running today (they were giving out free test rides on
Wednesday before Thanksgiving). Shameless plug--it's in the new Palisades
Center Mall, near the Tappan Zee Bridge.
Pat's plot of lateral force (LF or Fy) vs slip angle (SA) (below) is good,
but I've changed the axis labels (to match standard terminology).
Sometimes there isn't any drop-off at the peak at all, the peak lateral
force stays about constant at the peak value. The lateral force is
measured (defined) at the road surface, and lined up with the axle
(perpendicular to the center plane of the wheel, the "y" direction.)
Now to aligning torque (AT)--(another post in this thread). AT vs slip
angle (SA) looks different than lateral force vs SA. The AT rises to a
peak and then drops to near zero torque once the tire is at peak lateral
force. The tire does get "twisted" at low slip angles because the front of
the print is just getting set onto the road, while the back of the print is
"stretched" sideways. Once the whole print is sliding (above the peak LF)
then there isn't much difference between the sliding velocity (and force)
at the front and rear of the print. Crudely like the plot below, where SA
is to the same scale as the plot above.
AT | /\
lb-ft | / \
| / \
| / \
| / \
|/ --\ ---------------\====\---------======
SA (degrees) \------/
The figures and explanation that we put in Chapter 2, of "Race Car Vehicle
Dynamics" are much more complete. Another shameless plug-- Get RCVD now
from Classic Motorbooks at the old price of $85 -- SAE just raised all the
prices at their in-house bookstore, RCVD is now $89 from SAE.
-- Doug
Milliken Research Associates Inc.
> Im mixed up here.As the front tires experience sidewall flex,causing the
> steering wheel to get tighter in relation to the amount of slip angle(self
> aligning torque),then how can the steering go light when the fronts lose
> grip?If the tire is sliding heavily,the slip angle is even greater,then the
> self aligning torque should be even greater.But instead the self aligning
> torque gets lighter.Sidewall flex is lessened???
I think that aligning torque is an effect of
the spinning of the tire, and doesn't relate
directly to tire deflection. At 90 degree
slip angle, the tire is not spinning at all, so
there should be zero aligning torque (and maximum
tire deflection). Same thing with locking up
the brakes, no spinning equals no aligning torque.
My question is, does the peak aligning torque
occur at the leading edge of the peak lateral
force? This would directly define what we
should feel in a force feedback wheel. If the
two coincide, that would make driving on the
limit more intuitive. Even if the two don't
coincide in reality, I think they should in
the simulation of FF effects :)
BTW, I'm just learning this too - so if I
get something wrong, somone please correct me!
--
Pat Dotson
IMPACT Motorsports
http://www.impactmotorsports.com/pd.html
Quoted text (24 lines)
> > | --- > > | / \ > > | / ------------- > > | / > > LF | / > > lbs | / > > | / > > | / > > | / > > |/ > > --------------------------- > > SA (degrees) > at the front and rear of the print. Crudely like the plot below, where SA > is to the same scale as the plot above. > AT | /\ > lb-ft | / \ > | / \ > | / \ > | / \ > |/ --\ > ---------------\====\---------====== > SA (degrees) \------/Quoted text (29 lines)
> > > | --- > > > | / \ > > > | / ------------- > > > | / > > > LF | / > > > lbs | / > > > | / > > > | / > > > | / > > > |/ > > > --------------------------- > > > SA (degrees) > > at the front and rear of the print. Crudely like the plot below, where SA > > is to the same scale as the plot above. > > AT | /\ > > lb-ft | / \ > > | / \ > > | / \ > > | / \ > > |/ --\ > > ---------------\====\---------====== > > SA (degrees) \------/ > Ah, so peak AT does coincide with the onset of > peak LF. Cool. That means that FF effects > should mirror real life steering forces, > doesn't it?Quoted text (10 lines)
> > Im mixed up here.As the front tires experience sidewall flex,causing the > > steering wheel to get tighter in relation to the amount of slip angle(self > > aligning torque),then how can the steering go light when the fronts lose > > grip?If the tire is sliding heavily,the slip angle is even greater,then the > > self aligning torque should be even greater.But instead the self aligning > > torque gets lighter.Sidewall flex is lessened??? > I think that aligning torque is an effect of > the spinning of the tire, and doesn't relate > directly to tire deflection.Since this has gotten pretty technical, it's time for some standard
terms...even though I swore off this thread earlier...!
Aligning Torque (AT) is the torque about a vertical axis (SAE "Z" axis)
through the axle and the wheel centerplane. It is one of the tire forces
and moments and is independent of steering and suspension geometry. It's
primarily a function of slip angle and load. It's not quite zero when
the slip angle is zero (tires don't really run quite straight).
Trail results from Castor angle and/or Offset in the steering geometry.
Tire lateral force at the ground produces a torque about the kingpin.
Steering torque about the kingpin is a combination of the AT and the
lateral force x trail torque. Then to get it up to the steering wheel
there is a gear ratio, and (usually) quite a bit of friction.
-- Doug
Milliken Research Associates Inc.


































