Miguel wrote:1) What is a "negative fricction asphalt"?
2) Is there any microscopic model of friction? I mean, a model a physicist like me would appreciate.
3) Isn't a bike's maximum angle basically defined by the peak of the Pacejka curve? I'm sure the angular momentum plays a role but I'd think that in a low-grip track a bike would just tilt less.
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PS: When F1 was broadcast in the pubic spansih TV (TVE), the commentator (Jesús Fraile) had two characteristic sentences: "Frentzen loves Paella" and "Magni Cours' asphalt has a polymeric cover".
1) It's not negative friction, Miguel, it's negative texture, sorry I re-translated to english like "negative roughness".
They are thin layers of stone mastic asphalt, where, for lack of a better explanation, you produce voids "downward", instead of "upward", like this:
Yes, I know, it's not very clear. Either you have protruding (positive) rock tips or voids (negative) between flattened-by-wear rocks. Visually, you see this:
Hot rolled macadam (positive texture)
Stone mastic (negative texture)
Structurally, in the first kind you have loads transmitted through the filler/bitumen and in the second, negative one, through the large aggregates. Like this:
Open graded Macadam core, loads run throug the filling
Stone mastic core, loads run through aggregate interlocking
The aggregate gradation (sizing of particles) is very similar, but in the second, the voids that exist in open graded asphalt (to allow water to seep through), are filled with bitumen (the black gooey thing). The two core samples are relatively "modern", a more "traditional" asphalt has smaller rocks.
2) Yes, after several centuries of less than exciting advance in that field of physics... thank you guys.
There is one that takes in account the area of contact more precisely than previous theories. It calculates the area all the way down, from 1 cm irregularities, to the atomic level.
This allows you to explain the friction in terms of how much the materials interlock, without needing to resort to average friction factors.
For the theory to work, you also have to figure out how much energy is stored in the rubber, "before" being transmitted down to the track (in english: rubber cushions the jolts) or because it's radiated (in english: tyres are heated).
This is a repeated link:
http://www.unisci.com/stories/20022/0612023.htm This is the Amazon book
http://www.amazon.com/Sliding-Friction- ... 3540671927 and this is the article on the most exciting development: brakes for nano surfaces
http://www.aip.org/pnu/2003/split/652-3.html. I've always suspected that Mr. Bo Persson's new (year 2000) theory was behind Bridgestone dominance and Ferrari championships...
3) I was talking about the angle with the vertical (the lateral inclination of the bike), not the angle of the wheels to the axis of the vehicle (the Pacejka curve). I think that the Pacejka curve for a bike is very "short" (the maximum angle is very low), that is, you dont turn much the bike wheels to take the curve, you incline it.
Actually, to take a curve on a bike you have to turn the handles (for a moment, of course) in the opposite sense, that is, you turn left to turn right. Bikes turn because they're inclined. Please, read this:
http://www.motorvike.com/MotoChat_Counter_Steering.htm
The idea of a track for bikes, according to my short experience (a total of two: a street course that was a failure and some complains from a couple of friends about a track used only by cars) is this:
The section of a racing bike tyre has the shape of a "V". You need to take in account how much "tilt you ask" of the motorcycle for it to take a curve. Ideally, you design curves that force the driver to incline the bike with an angle similar to the one that the "V" of the tyre has.
If you force the bike to incline more, which you tend to do on low grip asphalt, you go "beyond" that angle and make the wall touch the track, that is, you slide.
Have you ever rode a racing bycicle, that also has "tall tyres", on very smooth concrete or wood? Can you remember the "insecurity" you felt on sharp curves? You feel that you can incline a lot the bike, but if you overdo it, you know you're going to fall.
Simple: drivers tell you they feel like riding "on soap".
This opposes the "best practice" I recommend for "car tracks": to use low grip asphalt in braking zones, stretching them and helping a little the "real ability" of drivers.
Your car also brakes less in a downward slope. So, an alternative is descending entrances, in vertically concave curves, like Spa's Eau Rouge or (with more subtlety) in some curves at Brands Hatch.
These kind of curves are a b*tch in a bike, they don't "feel" well, or so I've been told (I don't ride bikes well at all). I'm not sure about the explanations of my friends. You wouldn't either, if you knew them...