Showing posts with label automotive. Show all posts
Showing posts with label automotive. Show all posts

Friday, August 10, 2018

How Do Sway Bars Work

By Matthew Eddy - 2018-08-12


Sway bar, aka anti-roll bar, aka stabilizer bar – they may have many names but they have one purpose and that is to reduce body roll. There are ride comfort reasons to reduce body roll but you are probably reading this article to learn more about the performance benefits. In short, the sway bar works by tying the left and right suspension together and as the car leans into a turn the body leans and pushes down on the sway bar at one side. This causes the sway bar to try and lift the inside tire and causes a torsional force (twisting force) on the bar. The bar resists this torsional force and so reduces how much the body can lean. The best way to imagine how a sway bar works is to think of it as a long spring. The thicker the bar the more it resists twisting and therefore the stiffer it is. Now I am sure this description isn’t sufficient so I will walk through it with some diagrams below.

First, let’s look at how the sway bars are designed because this is critical to understanding how they work. The most simplified version of a sway bar is a straight bar with two arms that project at 90° from each end forming a very wide but short U shape. Somewhere near the arms is where the sway bar will connect to the body usually with a rubber bushing – higher performance bushings will be made from polyurethane or some other very rigid plastic. The ends of the arms are connected to the control arm or strut tower through end links.  Below is a picture of a typical set of sway bars you will find in a car – these are a performance upgrade for a BMW e46.

Eibach front and rear sway bars for a BMW e46



I have attempted to draw up a diagram showing how the sway bar works in a turn. The first diagram is the car going straight. I tried to represent the 90° bend, and its relation to the body of the car because this is a critical feature of how the sway bar works.



In the diagram below the car is in the middle of a right hand turn. When turning right the car will lean to the “outside” of the turn – which in this case is to the left. Now, looking at number 1, the body of the car pushes down on the sway bar mount. This changes the relative position of the sway bar end (#2), which goes up in relation to sway bar mount (#1). This causes a twisting force on the bar (#3) and also tries to lift the opposite end of the bar (#4). It’s this resistance to the torsional force that reduces the body roll. Now what is keeping the opposite end of the sway bar (#4) from going up?  The weight of the wheel/hub assembly, and the stiffness of the spring.  


So a stiffer sway bar is harder to twist than a thinner bar so therefore is resists the body roll more effectively. This in turn keeps more weight on the inside tire which means it can help increase the total amount of traction. Now there is an upper limit to how stiff of a bar you can throw on any car. Once the you start lifting the inside tire it is no longer able to help add additional traction. Another way to address this is to increase the stiffness of your springs which will also help reduce body roll and help keep the inside tire planted.

You may want to read my article on suspension tuning to get a better idea of how sway bars will effect the balance of the vehicle HERE.


Now I demonstrate this in a video that I made a number of years ago and I won't say is a spectacular video but it helps show how these forces are working in real time and models the diagram I show above.



 If you have any questions please ask them in the comments section and I will try and answer them when I can. Thank you. 

Tuesday, June 19, 2012

2012 F1 Driver Championship Prediction

Story by Matthew Eddy

At this point it is probably clique to mention that this season has been unpredictable with seven race winners in the first seven races (whoops to late); the top three drivers separated by only 3 points and the 4th place driver another 6 points behind that.  Considering a first place finish gains a driver 25 points the driver standings could and will change many more times in the next few races.  If the rest of the season follows the same pattern the Driver’s Championship will probably come down to a nail biting last race.

In previous seasons the front runners generally separated themselves from the pack pretty quickly.  The last few years have been anything but predictable and this season seems to have introduced a bit more volatility into the mix.  For instance I was not expecting Lotus to have such a strong car right out of the gate.  If Grosjean had finished more races he may be a contender for the championship but as it stands he is in 5th but still in striking distance.  Alonso has been driving brilliantly on a car that no one expected to be very competitive this season and had captured a crucial first place finish in Malaysia to bring him just two points shy of Hamilton in the standings.  Plus many other extraordinary drives especially by drivers a little lower in the ranks that are just starting to come into their prime.
Race number eight (of 20) is less than a week away and who knows what the outcome will be and I decided I will take the bold step of predicting the Drivers Champion before the front runners separate themselves from the pack.

Before I declare my prediction I want to assure you this has not been made on some gut feeling, or a name I pulled out of a hat.  I actually did examine some of the stats and tried to rank the drivers, cars and teams in a meaningful way.  For instance I compared drivers on their ability to qualify well regardless of penalties that may have received for gearbox changes or various other infractions.  I figure this would be a good indicator of the drivers/car abilities in relation to the rest of the field.   Also, I compared a how well a driver finished in relation to their grid position to judge whether their race pace matched their qualifying pace.   My working assumptions are that drivers who are able to qualify well are also more likely to finish well.  Most of the tope drivers, on average, will only gain or lose a few spots.  Also, I assume that team errors, mechanical failures and the like should be statistically even among teams over the course of the season though it does seem like Pastor Maldonado has had some bad luck this year with gearboxes.

So, based on looking at this data I predict that Lewis Hamilton will be the 2012 champion.   First off he is by far the best qualifying driver all season.  Of the drivers his average grid position is 2nd (keep in mind this average is based on him qualifying 1st in Spain even though he ended up starting from the back of the grid). He has consistently finished well, even if he doesn't usually translate a pole position to a first place finish.  It could be argued that this was from bad team strategy, bad pit stops or what have you, but over the course of the season all teams will make mistakes and I assume that all these will even out in the end.  A perfect example is the last race in Canada; if Alonso and Vettel had pitted right after Hamilton then they might have finished on the podium.  I have also considered the team’s ability to keep pace with car development throughout the season and McLaren-Mercedes has good track record in those regards.  One other benefit Hamilton has going for him is that he is a bit of a scrapper and tends to have his best finishes when not on pole.  Based on the races this year he had had pole position twice and both times he finished 3rd while starting from second he got a win.  Lastly he is much calmer this year and much more consistent.  

Below I have condensed some of the results so you can see them yourselves.
Here is the average grid position by each driver - WITH ALL GRID PENALTIES ERASED.  This not only includes Hamilton but Schumacher, Perez, Maldonado etc.  Hamilton has clearly done well in qualifying this season especially when compared to Alonso and Vettel.

No
Driver
Team
Avg Grid Pos*
4
Lewis Hamilton
McLaren-Mercedes
2
8
Nico Rosberg
Mercedes
5
2
Mark Webber
Red Bull Racing-Renault
5
10
Romain Grosjean
Lotus-Renault
6
1
Sebastian Vettel
Red Bull Racing-Renault
6
7
Michael Schumacher
Mercedes
7
3
Jenson Button
McLaren-Mercedes
7
5
Fernando Alonso
Ferrari
7
9
Kimi Räikkönen
Lotus-Renault
9
18
Pastor Maldonado
Williams-Renault
11
14
Kamui Kobayashi
Sauber-Ferrari
11
6
Felipe Massa
Ferrari
12
15
Sergio Perez
Sauber-Ferrari
13
11
Paul di Resta
Force India-Mercedes
13
12
Nico Hulkenberg
Force India-Mercedes
13
16
Daniel Ricciardo
STR-Ferrari
13
19
Bruno Senna
Williams-Renault
15
17
Jean-Eric Vergne
STR-Ferrari
18
20
Heikki Kovalainen
Caterham-Renault
18
21
Vitaly Petrov
Caterham-Renault
19
24
Timo Glock
Marussia-Cosworth
21
25
Charles Pic
Marussia-Cosworth
22
22
Pedro de la Rosa
HRT-Cosworth
22
23
Narain Karthikeyan
HRT-Cosworth
24

One stat I calculated was how well the driver finished compared to his grid position.  Most drivers have a positive average, meaning they tended to gain more places than they have lost averaged over the last 7 races.  However, though I did look at these figures while making my determination, I don’t think it produces very pure data.  For instance Hamilton in the Spain race gained 16 positions as he made his way from the back of the grid, but passing back markers in a car that qualified as pole is not the same as going from 16th to first.  If those 16 positions are included in his average than he on average gained 1 position per race.  If I remove this race as an anomaly, than he on average lost 1 position per race.  What muddies this even more are drivers like Vettel who may have decided not to put a few laps in during Q3 in order to save tires for the race and so he starts lower down in the field and artificially improving his average gains per race since he could have started closer to pole.  Regardless, below are the stats I have calculated without removing the Spain race from the data.  Of the top three drivers in the championship running, Alonso has had the best performance and this would partially explain how he is doing so well considering his average corrected qualifying position was 7th.

No
Driver
Team
Avg Place Change
15
Sergio Perez
Sauber-Ferrari
6.5
17
Jean-Eric Vergne
STR-Ferrari
4.4
24
Timo Glock
Marussia-Cosworth
3.7
11
Paul di Resta
Force India-Mercedes
3.0
25
Charles Pic
Marussia-Cosworth
2.8
9
Kimi Räikkönen
Lotus-Renault
2.6
23
Narain Karthikeyan
HRT-Cosworth
2.4
10
Romain Grosjean
Lotus-Renault
2.4
5
Fernando Alonso
Ferrari
2.3
12
Nico Hulkenberg
Force India-Mercedes
2.1
7
Michael Schumacher
Mercedes
1.7
4
Lewis Hamilton
McLaren-Mercedes
1.3
19
Bruno Senna
Williams-Renault
1.2
14
Kamui Kobayashi
Sauber-Ferrari
1.0
22
Pedro de la Rosa
HRT-Cosworth
1.0
1
Sebastian Vettel
Red Bull Racing-Renault
1.0
21
Vitaly Petrov
Caterham-Renault
1.0
20
Heikki Kovalainen
Caterham-Renault
0.9
18
Pastor Maldonado
Williams-Renault
0.2
6
Felipe Massa
Ferrari
-0.1
2
Mark Webber
Red Bull Racing-Renault
-0.1
16
Daniel Ricciardo
STR-Ferrari
-0.5
8
Nico Rosberg
Mercedes
-1.9
3
Jenson Button
McLaren-Mercedes
-4.4