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#1 |
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Weight transfer and roll resistance.
First off I should explain why this is in this forum. Its in no way an article or a teg tip and I am not asking assistance in working on my suspension (but I do have questions). It relates to racing/race cars (well all cars, but we only care because of racing/competition, right?) and fits in no other forums so here it is.
![]() I don’t know if everyone read the tire stagger thread where I just argued with mythos EF/DA for 3 pages, but it was that thread that once again sparked my interest in the suspension tuning books I bought a while ago. In looking for quotes to counter mythos with I found that I missed a lot of stuff through the first read. That and, at the time, I didn’t understand some of the things the authors were saying. I am not saying that I now understand everything because if I did I wouldn’t have made this thread. I do understand more but there are some parts that are still a little greek. I am also making this thread because typing this stuff out makes me understand better. Gnome sayin? Yeah, so on with it, eh? I’m gonna start with the terms. Center of Gravity – Also called the center of mass and I’m gonna abbreviate it CG. The CG is the most center concentration of mass on the car. If you picked up the car in this spot on a worthy string all 4 tires would leave the ground at the same time. If you decided to balance the car on a pole, the car would rest on the top of pole at the CG. The CG also has a height and this is the most important axis of the CG. (man I need a pic, lol) Mass Centroid Axis – If you sliced the car into little sections (like a loaf of bread) each section would have its own CG height. The mass centorid axis is an axis created if all these little CG’s were connected together. Roll center – The front and rear suspension each have their own roll center locations. These roll centers are in the same plane as the respective suspension, and are determined by the suspension geometry. To find the roll center you get a front or rear view (an elevation, if you will, of whichever end you want to find the RC for) of the suspension, extend the upper and lower arms into the car until they intersect, then draw a line from the center of the tire’s contact patch to the intersection of the extended arms, and where that last line drawn intersects with the center of the car is the roll center (technically its where this line from the contact patch intersects the line from the other tire’s contact patch, but when the car is sitting the roll center is in the center of the suspension). picture stolen from Fred Puhn's "How to Make Your Car Handle" ![]() Roll axis – Think of connecting the roll centers to each other by an imaginary line. This line is the roll axis. Moment arm – This is the distance from the roll center to the CG’s height. Roll couple – This is the torque generated by the moment arm about the roll center when weight is transferred laterally. Now, when we go around a corner weight is obviously transferred laterally. It goes from the inside tires to the outside ones. This we can see and feel in the form of body roll. But I think it should be noted that body roll does not cause this weight transfer. The centrifugal force of the car trying to go off on a tangent causes weight transfer and weight transfer causes body roll. We can calculate the total, overall weight transfer of the car by this equation: Lateral load transfer (lb) = (Lateral acceleration (g) x car weight (lb) x CG Height (in))/track width(in) As you can see, the equation doesn’t take the type or stiffness of the suspension into account. That’s because it doesn’t matter for the overall lateral weight transfer. Now, in the words of Carroll Smith “Lateral load transfer is a bad thing.” This is because “any transfer of load from one tire of a pair to the other reduces the total tractive capacity of the pair.” So we obviously want to reduce lateral load transfer. That overall load transfer can be broken down into 3 different kinds of load transfer, unsprung weight transfer (wheels, knuckles, brakes, etc…), weight transfer through the roll centers, and weight transfer of the sprung mass. If you add them all up you get the overall lateral load transfer. Each is important in its own respect but the weight transfer of the sprung mass is the most important to us because we can tune it. Unsprung weight transfer – This is the least important of the three. Some weight is transferred because of it, and there isn’t much you can do about it. Weight transfer through the roll centers – When we go around a turn, there is weight transfer that goes directly through the roll centers to the other, outside tires. There is more of this kind of weight transfer as the roll centers go up. Also, the heavier end (ie the front) gets more of this kind of weight transfer. Our cars’ roll centers are fairly low, especially when lowered. So this isn’t as bad as it could be. Weight transfer of the sprung mass – Typically this type of weight transfer takes up most of the overall weight transfer, which is a good thing cause we can tune it. The portion of sprung weight transfer that each end gets can be changed by roll stiffness. The higher the roll stiffness is, the more sprung weight is transferred at that end. Some quotes on this are: “The ratio of front to rear sprung weight transfer is directly proportional to the ratio of front to rear roll resistance.” (“Competition Car Suspension” by Allan Staniforth, P204) “The suspension with the highest roll stiffness will receive the largest portion of weight transfer caused by body roll.” (I think what he means by “weight transfer caused by body roll” is “weight transfer of the sprung mass” because that’s what he is talking about when he says that)(“How to Make Your Car Handle” by Fred Puhn P41) Now is when the stuff gets interesting (and where I am a little and maybe even a lot confused). What happens is the remaining centrifugal force (the portion of the force that isn’t creating the other 2 types of weight transfer) pulls the mass centroid axis outward and, because the tires stick to the ground, the mass centroid axis creates a torque around the roll axis. This torque is called the roll couple. The front and rear suspensions each have their own roll couple and the front and rear roll stiffness resist their respective roll couples. Roll couple equations from Fred Puhn’s book: Front roll couple = (Front roll stiffness/Total roll stiffness) x Total roll couple Rear roll couple = (Rear roll stiffness/Total roll stiffness) x Total roll couple Total roll couple = Front roll couple + Rear roll couple According to these, as the stiffness goes up at either end so does the total roll couple and the roll couple at that end. Carol Smith says, “The greater the resistance of the springs, the less roll will result – but there will be no significant effect on the amount of lateral load transfer because the roll couple has not been changed and there is no physical connection between the springs on opposite sides of the car. The same cannot be said of the resistance of the anti-roll bars. In this case, because the bar is a direct physical connection between the outside wheel and the inside wheel, increasing stiffness of the anti-roll bar will both decrease roll angle and increase lateral load transfer.” How is the roll couple not changed? If the roll couple is not changed, how do springs then change the nature of the car? Could someone please explain this? I guess what I am getting at is the “rates” people talk about. Smith says, “If the roll axis at one end of the car is further below the mass centroid axis than it is at the other end, then that end of the car will have a greater roll moment and therefore lateral load transfer will take place more quickly at that end, and traction will suffer.” I assuming that when he says “more quickly” he means “sooner.” Example: lets say the outside tires have infinite grip, if you increase the lateral acceleration to infinity both the inside tires are going to lift off the ground (lets say both at the same time) and eventually the car is going to roll over. If we add rear roll stiffness to our car, the rear tires will transfer their sprung weight more quickly and will come off the ground sooner than the fronts. Is this right? So if it is the rates of weight transfer that actually make the car more understeer or oversteer prone then adding rear stiffness just raises the rear roll couple. But the only way it could do that is by raising the centrifugal force. I dunno.If it is just about rates then my guess is that as the rear stiffness goes up so does the roll couple (regardless of type of roll resistance). The only way the roll couple can go up is if the force on the moment arm goes up (cause the moment arm doesn’t really change). Force = mass x acceleration so when the force goes up the acceleration has to go up because the mass says the same. Acceleration == rate. So the more rear roll resistance there is the faster (sooner) the weight transfer at rear happens. Also, if the roll stiffness tuning is just about changing the rates of weight transfer then does that mean that the other theory of transferring more sprung weight on the stiff end is wrong? Or does it just mean that it transfers the same amount it would’ve eventually anyway, just sooner, so it thus transfers more at some specific instant (see example 2 paragraphs up). This took waaaaaaaaaaaaaaay too long to type. I hope someone can reply with some help (marc!?!, GspeedR?, Johnny?, Robbie?). Ben |
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#2 |
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ben, great writeup/discussion. i read through it all, particularly the last few paragraphs of your discussion that includes the example you offered. i'm not as technically fluent as you or many others on this board about suspension theory, but i like to think common sense and experience is another means to understanding. taking this into account, i agree with what you were implicating in your discussion.
you said: "Also, if the roll stiffness tuning is just about changing the rates of weight transfer then does that mean that the other theory of transferring more sprung weight on the stiff end is wrong? Or does it just mean that it transfers the same amount it would’ve eventually anyway, just sooner, so it thus transfers more at some specific instant" i don't think 'wrong' is a correct term for it. 'wrong' would be where you are trying to overcome the laws of physics/geometries of the suspension--which doesn't work. but i think this part of the discussion would be definitely driver theory/belief/preference because i'm sure transferring sprung weight vs. increasing roll resistance (via thicker anti-roll bars), for example, 'feel' different when you're out on a course (also, the type of course will will have its influences, too). any given change over another may be progressive or more subtle, for example, and that would depend on the driver's preferences. sorry i can't add anything particularly scientific, hopefully others will help out constructively. thanks for taking the time ben. |
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#3 |
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fakkk... that ish hurt my eyes....
*bookmarks* archivethis |
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#4 | ||||
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Re: Weight transfer and roll resistance.
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Also, if the roll stiffness tuning is just about changing the rates of weight transfer then does that mean that the other theory of transferring more sprung weight on the stiff end is wrong? Or does it just mean that it transfers the same amount it would’ve eventually anyway, just sooner, so it thus transfers more at some specific instant (see example 2 paragraphs up).[/quote] You'll have to elaborate on this a bit. Are you asking about the distribution of load transfer front and roll based on roll stiffness ratio, or the f/r distribution of load tranfer rate. If it's the latter, I can't help you. You may want to PM "descartesfool" over at H-T.com. He's answered a few of my questions and could better answer yours than I could. Possibly post this in the similar thread I made at H-T.com: here ATTENTION! This post has been edited from its original contents. You may want to check the message again to make sure no discrepancies occur that may adversely affect you. This is especially important with threads in the COMMERCE section. Last edited by GSpeedR : 12 Jan 2004 at 00:25:14. |
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#5 | |||
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johnny, thanks for the input. I want to test and compare the feel of a rear spring increase to a rear sway increase. unfortunately when I autox I am too concerned with driving to really "feel" the car. poop.
GSpeed, Are you sure its the moment arm that changes enough to worry about? I have this picture sitting here (if you have Fred Puhn's book look on page 37, otherwise I can post it if you want) that shows the roll centers of an a-arm suspension at 0* and 5* roll (aour cars probably dont roll much more). The roll center moved laterally only. And it looks like the moment arm got a tad larger because of it. but it really looks like it is independent of the type of roll stiffness applied. Plus, since the sway bar provides the "jacking" force to the inside wheel shouldnt it lower the roll center faster than the CG thus creating a larger moment arm? I dunno. Quote:
Onto the disection of my confusing original post. Originally I thought that the idea of the rates of weight transfer and the idea of the stiff end getting more of the weight transfer were 2 different, conflicting ideas. But since 3 of the 4 suspension books say the former is true (Smith only hints at it, he never really comes out and says it) then I figured they had to be related. thats where this came from: Quote:
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"Increasing rear roll stiffness will do nothing to change this fact, and will only unload the inside rear earlier in the cornering sequence" "Under lateral acceleration the end of the car with the highest roll stiffness will transfer the highest percentage of its inside cornerweight to the outside wheel. " The problem I have, if my rate guess is right, is that I dont understand how the rear transferring its weight "sooner" helps the front end. I suppose it could limit the roll angle for the whole car (well, it does) which would keep the front pair "flatter" (or more squarely(sp)) on the ground and would let the inside front to do more work. GSpeed, please dont think I am arguing with you anywhere. I am just trying to understand. I have some more reading i'm gonna do before I reply more (found a couple of threads, if you have more post them up. h-t searching is down). Maybe it will answer some of my questions so I dont have to post the ones that are easily found. Ben |
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#6 |
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This is all BS, just put 255/40-15's on the front and 215/40-17's on the back and you're set.
Oh don't forget to remove your sway bars and attack the touge with the courage of a hunting lion. |
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#8 |
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Ben,
I don't mind if you're arguing with me. This is stuff that is difficult for mw to grasp, and discussing it probably would help everyone. I want to re-read a few chapters before I respond though. |
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#9 | ||
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I'll have to respond to the other stuff later. ATTENTION! This post has been edited from its original contents. You may want to check the message again to make sure no discrepancies occur that may adversely affect you. This is especially important with threads in the COMMERCE section. Last edited by GSpeedR : 16 Jan 2004 at 19:03:30. |
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#10 | ||||||
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How this helps the front end, is really complicated and I don't quite know how it works. The rear wheels are basically towed (as RR98itr explains) by the car. The goal is to allow rotation in a car that is setup to understeer. If the front transferred weight faster then it would reduce front grip faster than rear and we are no longer able to rotate as well. Quote:
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#11 |
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we are on the same page with the rate thing. I have been trying to explain the same things you just said, you just did a better job.
sooner == less time b/t no WT and full WT at same lateral accel, so therefore the "rate" has to increase. so now the main questions i have are: How do the springs and sway bars really relate to the roll couple? (I am assuming the above equation is wrong b/c the springs supposedly dot change roll couple) How come the sway bars change the roll couple but springs do not? If the roll couple is not changed by the springs then what is? (the rate, or %age of WT at a given time) Does the rate of weight transfer relate to the roll couple or are they independent? (like can you tune the car without changing one or the other) If they are not independent then how do springs change the way the car handles? (if they relate somehow then changing the springs would change the rate and the roll couple. But it has been said that they do not change the roll couple so if they are related then the springs would not change the rates.) What I am getting at is that if the rates and roll couple are independent of each other then there is a fundamental difference between the anti-roll bar and the springs. That means that there would be a largish difference in the way the car behaved depending on the type of roll resistance chosen and the saying "sway bars act jst like springs in lateral acceleration" (which I have read in a few books) would be very untrue. Ben |
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#12 | ||||||||
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Here's a site that I found helpful and will save me from copying it all WT site Quote:
ATTENTION! This post has been edited from its original contents. You may want to check the message again to make sure no discrepancies occur that may adversely affect you. This is especially important with threads in the COMMERCE section. Last edited by GSpeedR : 22 Jan 2004 at 05:03:48. |
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