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Author: Subject: sprung to unsprung weight ratio
NS Dev

posted on 29/3/06 at 11:34 AM Reply With Quote
sprung to unsprung weight ratio

looking around on't web re. another thing and found this which explains nicely what I am always wittling on about re spring rates and dampers on out little cars:

"The Ratio of Sprung to Unsprung Weight


Unsprung weight includes the mass of the tires, brakes, suspension linkages and other components that move in unison with the wheels. These components are on the roadway side of the springs and therefore react to roadway irregularities with no damping, other than the pneumatic resilience of the tires. The rest of the mass is on the vehicle side of the springs and therefore comprises the sprung weight. Disturbances from the road are filtered by the suspension system and as a result are not fully experienced by the sprung weight. The ratio between sprung and unsprung weight is one of the most important components of vehicle ride and handling characteristics.

Unsprung weight represents a significant portion of the total weight of the vehicle. In today's standard-size automobile, the weight of unsprung components is normally in the range of 13 to 15 percent of the vehicle curb weight. In the case of a 3,500 pound vehicle, unsprung weight may be as high as 500 pounds. A 500 pound mass reacting directly to roadway irregularities at highway speeds can generate significant vertical acceleration forces. These forces degrade the ride, and they also have a detrimental effect on handling.

Early pioneers believed that the primary job of the suspension system was to absorb bumps and smooth out the ride. Today we understand that an equally important function of the suspension is to keep the tires in contact with the road. This is not as easy as it might appear to be. When a tire encounters an irregularity the resulting forces tend to reduce contact pressure and therefore degrade adhesion. Obstacles impart a vertical acceleration to tires that increases in proportion to the forward speed of the vehicle and the size of the obstacle. The greater the accelerated mass (unsprung weight) the greater the kinetic energy. In a sense, a raised obstacle throws tires away from the roadway. A depression causes the surface to rapidly drop away leaving the tire to follow along when inertia can be overcome by the downward pressure of the springs. Both occurrences reduce the tire's contact-pressure and tires can actually become airborne if the forces are great enough.

The forces generated by roadway irregularities (bumps) must be overcome by the springs in order to keep tires in contact with the road. The force of the springs comes from the compressive load imposed by the weight of the vehicle. The lighter the vehicle, the less compressive force is available, and the easier it is for the vertical motion of the wheels to overcome the inertia of the sprung mass and transfer motion to it as well. The ideal combination occurs when the ground pressure is maximized and inertial forces are minimized by a high sprung-to-unsprung weight ratio. A high ratio keeps the tires more firmly in contact with the road, and it also produces the best ride.

The sprung-to-unsprung weight ratio is particularly important to the design of extremely low mass vehicles. The necessarily higher suspension frequency produces a rougher ride, which can be accentuated by smaller tires typical of smaller cars. Smaller diameter tires react more violently to bumps and potholes. Their reduced radius causes them to move deeper into depressions and climb more quickly over obstacles. The higher acceleration rates are offset to a large degree by the reduced mass of the smaller tires. Tests have shown, however, that smaller tires do in fact produce a rougher ride, even though they are lighter. With smaller, lighter vehicles, it is even more important to keep the ratio of sprung to unsprung weight as high as possible in order to reduce the undesirable effects of smaller tires. "





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Hellfire

posted on 29/3/06 at 11:53 AM Reply With Quote
Does the percentage of 13 to 15 apply to our types of vehicle as well then?

What spring rates (front and rear) would you recommend for a ~500kg seven?

I know all vehicles differ, as does their intended useage but what, in your opinion, is the recommended rates?






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Liam

posted on 29/3/06 at 12:13 PM Reply With Quote
We took my mates old live axle blade engined westy down the local weighbridge and it came out at 430kg. Totting up the weight of the live axle, heavy hubs brakes wheels etc etc and you come out closer to 50% unsprung mass!! Kind of explains why the ride was so bad on anything bumpy. Softer springs would definately help but the fundamental problem is such a high unsprung to sprung ratio. Live axle definately aint good for a BEC.

Most locosts i've been in ride really badly over bumps. You can hear them bounce and rattle and the rear axle hop all over the place. Went for my first ride in a caterham a while ago and have to admit i was stunned by the ride. I didn't think it would be possible for a seven to be so good over bumps! The springs were definately very soft (and damping well matched) as I noticed loads more suspension travel and body movement than in any locost (i guess that's why caterhams have an ARB). Nevertheless it rode bumps like my Jag, stuck like glue and didn't make a single bang, shake or rattle. I concluded most locosts i've been in are hugely oversprung/damped and totally agree with all the people trying to point this out.

Liam

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Bob C

posted on 29/3/06 at 12:22 PM Reply With Quote
I have a simple take on this -
Spring rates are slightly reddish herring in this discussion... a 500kg car will have (say) 125kg force pushung down on each tyre regardless of spring rate!
A smaller car has less downward force keeping the tyre on the deck - so it must have less unsprung weight in order to maintain the same level of contact on a rough surface.
GB roads count as a rough surface! Race tracks are often much smoother so you see lots of racers doing OK with live axles & heavy wheels.
Spring rates do other things - roll stiffness, natural oscillating frequency; & dampers are tuned to the springs/sprung mass system.
cheers
Bob

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Bob C

posted on 29/3/06 at 12:26 PM Reply With Quote
BTW I tried quite hard to keep my unsprung weight down - IRS, ally calipers & disc bells, lightish wheels - I average 30kg a corner. That's 25%
ouch!
Bob C

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NS Dev

posted on 29/3/06 at 12:34 PM Reply With Quote
.................and as an agricultural rule of thumb statement, the worse the ratio, the more you need to spend on dampers................................





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NS Dev

posted on 29/3/06 at 12:41 PM Reply With Quote
quote:
Originally posted by Hellfire
Does the percentage of 13 to 15 apply to our types of vehicle as well then?

What spring rates (front and rear) would you recommend for a ~500kg seven?

I know all vehicles differ, as does their intended useage but what, in your opinion, is the recommended rates?


bit tricky, needs a combination of experience and theory, and depends on whether priority is track days or road driving.

My 7 is mainly for road driving so needs to be compliant, and will be at the high 500 kgs, maybe nearer 600kg (vaux XE engine)

on that I have 140lb rear springs and 275 lb front springs. I have a feeling I may need to amend that to 150 rear and 260 front but that's suck it and see.





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02GF74

posted on 29/3/06 at 12:53 PM Reply With Quote
quote:
With smaller, lighter vehicles, it is even more important to keep the ratio of sprung to unsprung weight as high as possible in order to reduce the undesirable effects of smaller tires. "



well I'm not into spring rates and complex stuff like that but knew that you want to keep unsprung weught as low as possible; basically all of the article, include the quoted bit above reworded.

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Fred W B

posted on 29/3/06 at 03:02 PM Reply With Quote
Again, I may regret this...

As far as I can see, in order to compare anything, you need to quote wheel frequency. On this, I subscribe to the gospel according to Staniforth, like this
rates
rates


Feel free to mail me if you would like the spread sheet.

Cheers

Fred WB

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Liam

posted on 29/3/06 at 04:27 PM Reply With Quote
quote:
Originally posted by Fred W B
Again, I may regret this...

As far as I can see, in order to compare anything, you need to quote wheel frequency. On this, I subscribe to the gospel according to Staniforth, like this


I agree. Spring rates cant really be compared accross different weight cars with different suspension geometry. Wheel frequency is where it's at. Mine is designed to be adjustable between 80 and 120 cycles per minute on the front and about 90 - 130 on the rear. According to staniforth that ranges from a sporty road car up into the sort of frequencies racers use (for those trackdays ). Yet it seems soft and compliant to me, again suggesting a lot of locosts i've tried are running crazy wheel rates.

liam

[Edited on 29/3/06 by Liam]

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gingerprince

posted on 29/3/06 at 04:39 PM Reply With Quote
If the ratio is the important factor, then just put a big bag of lead in your passenger seat. sprung weight goes up, ratio comes down
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NS Dev

posted on 29/3/06 at 05:07 PM Reply With Quote
If you can't get the ratio better by reducing unsprung weight (as is commonly the case on the rear of a 7) then moving weight to that end of the car can help, not quite adding lead but not far off!





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cymtriks

posted on 29/3/06 at 10:04 PM Reply With Quote
The book givs-
Front 210lbs 90cpm
Rear 190lbs 133cpm

This implies a very stiff rear suspension.

A softer setting could be-
Front 210lbs 90cpm with anti roll bar
Rear 120lbs 106cpm

Those figures are in the same ball park as the Elise (90cpm front 98cpm rear) and McLarenF1 (85cpm front and 105cpm rear)

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WIMMERA

posted on 29/3/06 at 10:56 PM Reply With Quote
I've heard a suspension guru quote 10:1 sprung/ unsprung as a target figure, hard to achieve in a clubbie though, a few locals are going to inboard brakes at the rear and spending vast sums on lightweight wheels and tyres in an attempt to get somewhere near it.

Wimmera

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