March 14, 2023

Weight transfer occurs as the vehicle's CoM shifts during automotive maneuvers. One important thing to notice is that its difficult to change total lateral load transfer by setup. The fact is that weight transfer is an unavoidable phenomenon that occurs whether or not a vehicle rolls. Term 2 always leads Term 3. Weight transfer is the result of acceleration, braking or cornering. You divide the center of gravity height by the width of the contact patches, and then multiply that by the acceleration and weight of the vehicle. Read more Insert your e-mail here to receive free updates from this blog! The RF tire is. Perfect balance would thus be 50/50, and front weight distribution would be 60/40 and so on. This component of lateral load transfer is the least useful as a setup tool. Acceleration causes the sprung mass to rotate about a geometric axis resulting in relocation of the CoM. He won the Formula Pacific Tasman Championship, won at Silverstone against Ayrton Senna and Martin Brundle in perhaps the greatest year ever in British Formula 3, and qualified for nine starts in F1, a record bettered among his countrymen only by Gilles and Jacques Villeneuve. The difference in height between the roll center and center of gravity of the sprung mass gives rise to a moment. The weight transfer is caused by rotational forces centered at the hitch ball. In that case, the tires on the right side of the car are going to be on the outside of the corner many more times than the left side tires. During cornering a lateral acceleration by the tire contact patch is created. Now lets analyse what happens when roll centre heights get close to the CG height. The first one to analyse is the kinematic or direct lateral force load transfer component. {\displaystyle b} A reference steer angle, which is the average of steer angles of both wheels on the axle, is specified (but the individual slip angles are used when entering the data). Calculating the load transfer in a vehicle is fairly straightforward. Understanding weight transfer is a fundamental skill that racecar drivers need to know. It has increased importance when roll rate distribution in one track gets close to the weight distribution on that axle, as direct force component has its importance reduced (assuming horizontal roll axis). The driver is said to manage or control the weight transfer. We derived the equations of lateral load transfer in one axle of the car, showing that its composed of three components: Unsprung weight component not useful as a setup tool because of the effect that it has on ride, specifically wheel hop mode. The analysis procedure is as follows: The potential diagram is a benchmarking of the performance that can be achieved by a pair of tyres. Transition This is the point at which the car 'takes its set'. is the wheelbase, No motion of the center of mass relative to the wheels is necessary, and so load transfer may be experienced by vehicles with no suspension at all. Put the driver weight in the car, preferably the driver. Weight . So lets try it with a 1200 kg vehicle with CG height varying from 100 mm to 1 m (which is ridiculously high even for a road car). When a car leaves the starting line, acceleration forces create load transfer from the front to the rear. Briefly, the reason is that inertia acts through the center of gravity (CG) of the car, which is above the ground, but adhesive forces act at ground level through the tire contact patches. The next topic that comes to mind is the physics of tire adhesion, which explains how weight transfer can lead to understeer and over-steer conditions. This will give: Now consider , the vertical load on the outer tyre in a corner, and , the vertical load on the inner tyre. When the vehicle is cornering, the centrifugal force from inertia generates a moment that makes the sprung mass roll to the outside of the corner. I hope this article was useful to you, and that you have enjoyed reading it. What happened? Changing weight distribution will obviously alter CG longitudinal location, and that might have undesirable effects on many other aspects of the car. In order words, the goal would be to reduce lateral load transfer in the rear axle in comparison to the front axle. First notice that there are two particular regions in the plot, where any changes to one of the components will produce no sensitive effect on weight transfer. t Under application of a lateral force at the tire contact patch, reacting forces are transmitted from the body to the suspension, the suspension geometry determines the angle and direction of these action lines and where they intersect is defined as the roll center. Increasing the vehicle's wheelbase (length) reduces longitudinal load transfer while increasing the vehicle's track (width) reduces lateral load transfer. These numbers are just averages and are very dependent on the class of car and the tires being run. Where is the roll angle caused by the suspension compliances and K is the suspension roll stiffness. This characteristic is also observed here. From our previous discussion on direct force weight transfer component, you know that to change roll moment arm you need to play with roll centre heights, which will ultimately affect that weight transfer component in the opposite way you want. We'll assume the car's side to side weight distribution is equal. These objects would have a tendency to tip or rotate over, and the tendency is greater for taller objects and is greater the harder you pull on the cloth. Substituting the values on the terms inside the brackets, we have: But if we assume that front and rear roll centers have the same height, then the moment arm will be given by: Substituting into the weight transfer equation yields: This shows that when weight distribution and roll rate distribution are equal, for a horizontal roll axis, the sprung weight load transfer component will be independent of roll centres heights. It is the process of shifting your body weight from one side of the kart to the other or leaning forward or back. Let's start by taking a look at four stages of understeer. Here they are the real heavyweights! Weight transfer is generally of far less practical importance than load transfer, for cars and SUVs at least. With 250-lb/in front springs, the same 1000 pound weight transfer will lift the front end a total of two inches. As such, the most powerful cars are almost never front wheel drive, as the acceleration itself causes the front wheels' traction to decrease. The fact is, by increasing the roll centre height in one axle, you are increasing lateral load transfer from the direct lateral force component, while at the same time you are decreasing lateral load transfer from roll angle component. But if total lateral load transfer is difficult to change once the car has been designed and built, then how can it be used to improve handling? If unsprung mass is isolated, its possible to find its own CG. {\displaystyle m} This is generally not the first option to take because of the effect that it has on other aspects of the car. The equations for a car doing a combination of braking and cornering, as in a trail braking maneuver, are much more complicated and require some mathematical tricks to derive. Lets say the car is rear wheel drive with a rear weight distribution and large, lightly loaded tyres. The inputs are essentially the loads and orientations of the tyres, and the outputs are given per unit weight on the axle, allowing for a vehicle-independent analysis. Refer again to figure 1. We dont often notice the forces that the ground exerts on objects because they are so ordinary, but they are at the essence of car dynamics. As with most race car parts, you get what you pay for. Imagine pulling a table cloth out from under some glasses and candelabra. The figure shows a car and the forces on it during a one g braking maneuver. Weight transfer is one parameter that is minimized - to aim for even loading on all four tires; resulting in maximum grip during cornering. the kinematic and elastic components. The weight shift component for a single axle will be: Substituting roll angle on the expression above, we have: The total moment from roll angle on a single axle will then be: The lateral load transfer from this moment is obtained by dividing this by the axle track width, t: The three components of lateral load transfer should be added in order to obtain the total lateral load transfer on an axle: The expression above can be utilized to calculate the load transfer on each axle, which can then be used to improve handling. The sprung mass used was 675 kg, which gives a weight of 6621.75 N. With a CG height of 254 mm and the minimum roll centres specified in 3 mm, which is very low, the moment arm will be 251 mm. The car should be at minimum weight, using ballast as needed to make the proper weight. The weight distribution on the rear axle was 54 %. Try this exercise: pick whatever value you want for rear roll centre height, and imagine an horizontal line passing through the point correspondent to that value in both graphs, and observe how weight transfer changes along this line in both graphs (remember each graph represents an axle). . Check stagger at each tire, even if using radials. Total lateral weight transfer is a combination of 3 distinct effects: Lateral force generated by the unsprung mass of the suspension and lateral acceleration is reacted directly by the tires, giving rise to a vertical component defined as Fz1. Here, is the lateral acceleration in G units, is the weight of the car, is the CG height, is the track width and and are the vertical loads on the left and right tyres, respectively. When this happens, the outside spring of the suspension is compressed and the inside spring is extended. Our system is proven to increase traction, and reduce fuel consumption and track maintenance. . The softer the spring rate the more weight transfer you will see. These effects are good for tightening up the car when winged down, but opposite for roll right. Before we start, its worth to give a note on units. The same thing happens on the left . For the analysis procedure, one can adapt the load transfer equation obtained above, using , the weight on the track analysed, instead of , and , the height of a fictitious centre of gravity for the track of interest, instead of . On independent suspension vehicles, roll stiffness is a function of the vertical stiffness of the suspension (ride rate, which includes tyre stiffness) and track width. contact patch displacement relative to wheel. Weight transfers occur as a result of the chassis twisting around the car's roll centre, which determined by the natural suspension setup. Again, if that doesnt work, then lateral load transfer will not be the right parameter to change. It must be reminded that changing this term will only change a part of the total lateral weight transfer. It is what helps us go fast! Hence, springs and tyre pressures should only be changed when other aspects need modification, but not only roll stiffness itself (unless the vehicle has no antiroll bar). weight is transferred in proportion to static weight. When the driver gets on the brakes, the total remains the same . Figure 3 shows the plot. Weight transfer of sprung mass through suspension links, The second term is the weight transfer of the body through the suspension links, Weight transfer of sprung mass through springs, dampers, anti-roll bars. If we use , the remaining roll angle component will be: If we keep the roll moment arm constant, then roll angle lateral load transfer component in one track will obviously be a function of the ratio between the roll stiffness on that track and the total roll stiffness of the car. This seems good, as more weight transfer would appear to be the goal, but less resistance is not the best way to make use of this weight transfer. The splitting of the roll moment between front and rear axles is useful in analysing lateral load transfer and this is called roll moment distribution between front and rear axles. The third term is usually split between springs, dampers and anti-roll bar, and determines the nature of body control and the level of body roll. The more the body rolls and the faster the body rolls, the more rotational . First off I would point out don't assume your tires are correct just based on there all but the same as the leaders, take a kart with 59 % left and 70 % cross he will be on a more juiced tire than a kart with a more balanced set-up like 56 % left and 57 % cross, now if you know his chassis and set-up 100 % ya you can feel little better about the Tires. Also, the only direct link between the front and rear tracks is the chassis (all-wheel drive cars are an exception), and vehicle behaviour can be evaluated by looking at the relative performance of front and rear tracks. In a dirt race car, our setups determine where the weight that has transferred goes. At this moment, you should be convinced of the irrelevance of the gravity term on roll angle weight transfer component. Both of these changes will involve adding, removing or repositioning mass (and therefore parts) within the unsprung part of the car. Figure 12 shows a finite element stress analysis, with colours closer to yellow and green indicating higher stresses. is the change in load borne by the front wheels, Bear in mind that the lateral acceleration obtained from a specific fraction load transfer value will not necessarily cause the correspondent load transfer on the axle. Front roll stiffness distribution only modifies Term 3 and hence increasing front roll stiffness always increases understeer. The forces upon the springs are reacted by the tyres, and that contributes to lateral load transfer. 21 Shifting. For you to get meaningful results from the equation above, you need to use consistent units. The reason I'm asking you is because you're one of the bigger guys in the pit area. Reference:Dr. Brian Beckman The Physics of Racing, Michelin Raceway Road Atlanta is 2.54 miles long, with 12 turns winding their way through the scenic Georgia countryside. Then, most of the solutions available will be related to the subject of this post: lateral load transfer. The distribution of dynamic loads can be altered with aerodynamics, with the regulation of wings or the static/dynamic height of the vehicle. The loads in each wheel determine the vehicles maximum cornering, braking and acceleration capability, then the lateral weight transfer is a key factor in a racing car performance. The tendency of a car to keep moving the way it is moving is the inertia of the car, and this tendency is concentrated at the CG point. This puts more load on the back tires and simultaneously increases traction. is the total vehicle mass, and W g a Braking causes Lf to be greater than Lr. The vehicle's weight is transferred forwards and the front suspension compresses: 'compression'. An additional curve might be obtained by plotting the intersections of the lateral accelerations with the lateral load transfer parameter lines, against the reference steer angle. Weight transfer happens when a car's weight moves around its roll centre when braking, turning or accelerating. When cornering, the sprung mass of the car will roll by an amount , the roll angle. If you know the deep reasons why you ought to do certain things you will remember the things better and move faster toward complete internalization of the skills. : a go-kart), the weight transfer should split between F/R axles according to the CG position, just like you instinctively done for the longitudinal acceleration. Assuming a 120" wb, 100lbs added 5' behind the rear axle will add 150lbs to the rear axle's scale weight, and take 50lbs off of the front axle. If the tyres of the car are lightly loaded, there might not be enough load sensitivity in the tyres, so that even if one end of the car takes all the lateral load transfer, the lateral force performance isnt degraded significantly. is the total vehicle weight.[7][8]. Hence: This is the total lateral load transfer on the car. What would you do, in order to solve the problem? The total lateral load transfer on the car can be calculated from its free body diagram, as shown in figure 1. Conversely, if you increase rear roll centre height, lateral load transfer increases on the rear axle and decreases on the front axle. The views are along the roll axis. This is given by: Here, is the sprung weight distribution to the axle being analysed and is the roll centre height for the track. Similarly, during changes in direction (lateral acceleration), weight transfer to the outside of the direction of the turn can occur. Those of you with science or engineering backgrounds may enjoy deriving these equations for yourselves. Consider the front and rear braking forces, Bf and Br, in the diagram. That is a lot of force from those four tire contact patches. This bias to one pair of tires doing more "work" than the other pair results in a net loss of total available traction. The car is not changing its motion in the vertical direction, at least as long as it doesnt get airborne, so the total sum of all forces in the vertical direction must be zero. The lateral force of the track is the sum of lateral forces obtained from each tyre. is the acceleration of gravity, These numbers are reported in shop manuals and most journalistic reviews of cars. For context, we are experimenting with carbon-carbon brake discs on a non-downforce car. Performance Engineer, withexperience in IMSA LMP2, Porsche Cup Brazil and othercategories. Steering. It is easy to modify through the components and is where engineers usually make more adjustments specially between sessions or before the race. The more F and the less m you have, the more a you can get.The third law: Every force on a car by another object, such as the ground, is matched by an equal and opposite force on the object by the car. The change in this arm with roll centre heights will depend on the wheelbase and weight distribution. Weight transferis generally of far less practical importance than load transfer, for cars and SUVs at least. In wheeled vehicles, load transfer is the measurable change of load borne by different wheels during acceleration (both longitudinal and lateral). As you begin to turn in (you may or may not still be on the brakes) the weight begins its transfer from inside to outside as the lateral g-loading increases. A big tire car with a lot of power is going to transfer weight much . Weight Transfer - A Core of Vehicle Dynamics. These are fundamental laws that apply to all large things in the universe, such as cars. An outside observer might witness this as the vehicle visibly leans to the back, or squats. Slamming through your gears while mashing on the gas pedal is one way to do it, and an extremely satisfying way to jump off the line just for kicks, but it isn't necessarily the best way to extract all the performance from your car as you possibly can. What happened here? Transient lateral load transfer is an important aspect of vehicle setup, but lets leave the discussion on that for another day. In the automobile industry, weight transfer customarily refers to the change in load borne by different wheels during acceleration. This will decrease roll angle component, but since the roll centre height of the opposite axle will not be raised, the direct lateral force component will not increase and the overall effect will be a reduction in weight transfer on that axle. We now have roll moment arm and roll stiffnesses to play with. Here the gearbox has a removable carbon fibre structural outer sleeve, allowing changes in the design of the rear suspension without having to re-test the rear of the car for crashworthiness. A quick look at the lateral load transfer equation might lead you to think that lateral load transfer will increase with increasing roll centre heights because of the direct relation in the equation. the amount of body roll per unit of lateral acceleration: If we isolate the roll angle from the equation above, we can use it to calculate the moments from roll resistance moment and sprung CG side shift for a single axle. This basically rules out weight distribution as a way of controlling roll angle component. This is altered by moving the suspension pickups so that suspension arms will be at different position and/or orientation. any weight added, ballast, may not extend over the front or rear of the car's body or tires, and must be permanently attached to the vehicle, and there may be a maximum of 500 lbs ballast with a maximum of 100 lbs of that being removable. For a 3,500-pound car cornering at 0.99 g, the traction in pounds is 3,465 pounds (3,500 x 0.99 = 3,465). For the tow vehicle, the chain pulls up on the weight distribution bar. For example, imagine a vehicle racing down a straight and hitting the brakes. f Just as taking Claritin or Benadryl reduces your symptoms without curing your allergies, reducing roll reduces the symptoms but does not appreciably cure weight transfer. [2] This would be more properly referred to as load transfer,[1][3] and that is the expression used in the motorcycle industry,[4][5] while weight transfer on motorcycles, to a lesser extent on automobiles, and cargo movement on either is due to a change in the CoM location relative to the wheels. By analysing Figure 9 you can see that lateral load transfer is very sensitive to changes in roll centre height. Conversely, a supercar is built to approximate race geometry with few concessions to prevent spilling the drinks. Deceleration Weight Transfer The opposite of the acceleration weight transfer takes place during deceleration. Effect of downforce on weight transfer during braking - posted in The Technical Forum: Apologies if the answer to this is obvious, but I am trying to get a sense of whether weight transfer under braking is affected by how much downforce a car has. But why does weight shift during these maneuvers? We need to recognise that not all the weight transfer goes via the springs, dampers and anti-roll bars. Go to YouTube and look up a slow-motion video of a drag race car leaving the line and watch the left rear tire. However, these approaches are limited, ride height being affected by the possibility of bottoming out and track width by regulations that place a cap on vehicle width. They push backwards on the tires, which push on the wheels, which push on the suspension parts, which push on the rest of the car, slowing it down. We see that when standing still, the front tires have 900 lbs of weight load, and the rear tires have 600 lbs each. In a single axle, the roll resistance moment will be the roll angle multiplied by the roll stiffness of the axle analysed, . Your shock absorbers are considered after your ride and roll stiffness have been selected. Then if the car is still loose on entry we start moving the weight, at the new height, to the right. or . The "rate of weight transfer" is considered important. Notice the smaller cornering potential for higher values of the lateral load transfer parameter. For setup, we look into changing the lateral load transfer in one axle relative to the other, to affect balance. Now that we know the best ways to change roll stiffness, lets see how it affects lateral load transfer. This is why sports cars usually have either rear wheel drive or all wheel drive (and in the all wheel drive case, the power tends to be biased toward the rear wheels under normal conditions). Increasing front roll center height increases weight transfer at front axle through suspension links (Term 2), but reduces overall weight transfer through suspension (Term 3).

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