jtmcinder
DSM Wiseman
- 5,402
- 96
- Nov 4, 2003
-
Iowa City,
Iowa
In a different thread -- http://dsmtuners.com/forums/showthread.php?p=1478139#post1478139 -- I suggested that a 2G DSM would benefit from a 40/60 center differential. Someone else (ACM) suggested that we want a 30/70. We agree that life sucks (in that only a 35/65 is currently available), but maybe a discussion of this is worthwhile. For autocrossing -- which is what I do -- I think that I am wrong.
My reason for wanting a 40/60 (instead of 35/65) is that I want the split to be as close as possible to the weight distribution (and, therefore, the grip distribution) of a lowered 2G at 1g acceleration. One reason to want a more radical split, instead, is to get the rears to break free first under power so that the car can be rotated using power. In other words, the 40/60 split is to optimize straight-line acceleration while a more radical split might optimize corner-exit behavior.
The best way to understand this issue is in terms of traction circles. At any given time there is so much weight on each tire. The more weight, the larger the traction circle. When sitting still or going straight ahead at a constant speed, the front traction circles are larger than the rear circles, because our cars are front heavy. When cornering at a constant speed, the front circles are bigger than the rear circles (for the same reason) and the outside circles are larger than the inside circles (because weight is transferred to the outside when turning).
Similarly, at any given time, you are using up so much of the available grip at each corner. You use up the available grip by asking the tire to accelerate the car in some direction. Note that the tire doesn't care about the specific direction; it has so much total grip and, at any time, so much of it is being used to make the car turn and/or accelerate or brake. To the extent that the traction circle for a tire is larger than what that tire is currently using, you have grip to spare.
When a car is cornering at the limit, the end of the car that does not have grip to spare is the front. Therefore, if you want to accelerate at the same time, you had better ask the rear tires to do this for you, because if you ask the fronts, at least one of them will exceed its traction circle, which will cause the front end to turn less, which will cause the car to understeer. Therefore, you want a rear-biased center differential, because this is how you get the rears to do the extra work.
Going farther, for corner exit you want a center diff that is very very biased to the rear. Again, if you are at the limit, it is the front end of the car that has nothing to spare, so you need to send the engine torque to the rear if you want to accelerate at the same time. But you don't want a center that is completely biased to the rear because this will be too far from the optimal bias for straight-line acceleration. (Remember that we launch much better than a RWD car because we can use all four tires to do this.) As a compromise, then, you want something a bit more radical than the 40/60 that the launch suggests. How much more depends on which is more important to you.
So there's no simple answer, but I now believe that autocrossers want a lot more bias than 40/60 and maybe even more than 35/65. So I am now very sympathetic to the idea that 30/70 would be better than the currently-available 35/65. And a good discussion of this would be fun.
Nomex on.
- Jtoby
My reason for wanting a 40/60 (instead of 35/65) is that I want the split to be as close as possible to the weight distribution (and, therefore, the grip distribution) of a lowered 2G at 1g acceleration. One reason to want a more radical split, instead, is to get the rears to break free first under power so that the car can be rotated using power. In other words, the 40/60 split is to optimize straight-line acceleration while a more radical split might optimize corner-exit behavior.
The best way to understand this issue is in terms of traction circles. At any given time there is so much weight on each tire. The more weight, the larger the traction circle. When sitting still or going straight ahead at a constant speed, the front traction circles are larger than the rear circles, because our cars are front heavy. When cornering at a constant speed, the front circles are bigger than the rear circles (for the same reason) and the outside circles are larger than the inside circles (because weight is transferred to the outside when turning).
Similarly, at any given time, you are using up so much of the available grip at each corner. You use up the available grip by asking the tire to accelerate the car in some direction. Note that the tire doesn't care about the specific direction; it has so much total grip and, at any time, so much of it is being used to make the car turn and/or accelerate or brake. To the extent that the traction circle for a tire is larger than what that tire is currently using, you have grip to spare.
When a car is cornering at the limit, the end of the car that does not have grip to spare is the front. Therefore, if you want to accelerate at the same time, you had better ask the rear tires to do this for you, because if you ask the fronts, at least one of them will exceed its traction circle, which will cause the front end to turn less, which will cause the car to understeer. Therefore, you want a rear-biased center differential, because this is how you get the rears to do the extra work.
Going farther, for corner exit you want a center diff that is very very biased to the rear. Again, if you are at the limit, it is the front end of the car that has nothing to spare, so you need to send the engine torque to the rear if you want to accelerate at the same time. But you don't want a center that is completely biased to the rear because this will be too far from the optimal bias for straight-line acceleration. (Remember that we launch much better than a RWD car because we can use all four tires to do this.) As a compromise, then, you want something a bit more radical than the 40/60 that the launch suggests. How much more depends on which is more important to you.
So there's no simple answer, but I now believe that autocrossers want a lot more bias than 40/60 and maybe even more than 35/65. So I am now very sympathetic to the idea that 30/70 would be better than the currently-available 35/65. And a good discussion of this would be fun.
Nomex on.
- Jtoby