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CATEGORIES (articles) > Running gear and steering > Components > Differential (mechanics)

Differential (mechanics)

This article deals with the concept of a differential in mechanics. For other meanings of "differential" see differential.
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In an automobile and other wheeled vehicles, a differential is a device, usually consisting of gears, for supplying equal torque to the driving wheels, even as they rotate at different speeds.

In some vehicles such as karts, torque is simply applied evenly to all driving wheels using a simple driveshaft. This works well enough when travelling in a straight line, but when changing direction the outer wheel needs to travel farther than the inner wheel. Hence, the simple solution results in the inner wheel spinning. For general road use, such a method would result in too much damage to both the tire and road surface. Differentials are typically composed of a gear mechanism in which a ring gear receives input power, which is transferred to two side gears by means of usually two opposing central pinion gears on a common shaft. The pinion gear(s) are mounted to a cage which is affixed to the ring gear. When the ring gear and cage rotate, the pinion gears drive the side gears; the pinion gears are free to rotate about their own axis when either of the side gears meets resistance.

In a motor vehicle, the two side gears may be used to transfer power to the left and right wheels. When the vehicle turns a corner, or one of the wheels encounters resistance, the pinion gears rotate around the side with the most resistance; this rotation drives the other side gear with additional speed.

The most basic differential described above, known as an open differential, suffers from one important problem, however. In an automobile, if one wheel begins to slip while the other maintains traction, the slipping wheel will receive most of the power. This means that if one wheel is spinning on ice while the other is still in contact with the pavement, acceleration of the driveshaft will only cause the slipping wheel to spin faster and very little power will reach the wheel with good traction. Similarly, if one wheel is lifted off the ground, nearly all the power will go to the wheel that is off the ground; not a hopeful prospect for off-road vehicles. Such a loss of traction is sometimes called "diffing out."

Differential mechanisms possess two degrees of freedom (DOF), and the state of the mechanism depends on two constraints. In a vehicle, the first constraint is the motor, and the second is the frictional kinematic chain between the two wheels and the ground. When the two wheels slip on the ground, the second constraint becomes weaker or disappears. The differential also becomes undetermined and transmits less or no power. For control and recovery of the second constraint, various mechanisms are used.

One solution to this problem is the limited slip differential (LSD), one of the most common of which is the clutch-type LSD. With this differential, each of the side gears has a clutch which limits the speed difference between the two wheels. Another solution is the locking differential, which employs a mechanism for allowing the pinion gear(s) to be locked, causing both wheels to turn at the same speed regardless of which has more traction; this is equivalent to removing the differential entirely.

A four-wheel-drive vehicle will have at least two differentials (one for each pair of wheels) and possibly a center differential to apportion power between the front and rear axles. Vehicles without a center differential should not be driven on dry, paved roads in all wheel drive mode, as small differences in rotational speed between the front and rear of the vehicle cause a torque to be applied across the transmission. This phenomenon is known as "wind-up" and can cause damage to the transmission. On loose surfaces these differences are absorbed by the slippage of the road surface.

A differential gear train can also be used to give the difference between two input axles. The oldest known example of a differential, in the Antikythera mechanism, used such a train to produce the difference between two inputs, one input related to the position of the sun on the zodiac, and the other input related to the position of the moon on the zodiac. The output of the differential gave a quantity related to the moon's phase.

Active differential

A relatively new technology is the electronically-controlled active differential. A computer uses inputs from multiple sensors, including yaw rate, steering angle, and lateral acceleration and adjusts the distribution of torque to compensate for undesirable handling behaviors like understeer. Active differentials are common in the World Rally Championship, though they may be eliminated in coming years.

The first use of this technology on a production automobile was Honda's 1997 Active Torque Transfer System on the Prelude SH. This "differential" was actually a planetary gearset placed next to an open front differential, not an integrated system. Fully integrated active differentials are used on the 2005 MR Ferrari F430 and on all four wheels in the Acura RL. The second constraint of the differential is passive – it is actuated by the friction kinematics chain through the ground. The difference in torque on the tires (caused by turns or bumpy ground) drives the second DOF,(overcoming the torque of inner friction) to equalise the driving torque on the tires. The sensitivity of the differential depends on the inner friction through the second DOF. All of the differentials (so called “active” and “passive”) use clutches and brakes for restricting the second DOF, so all suffer from the same disadvantage – decreased sensibility to a dynamically changing environment. The sensibility of the computer controlled differential is also limited by the time delay caused by sensors and the response time of the actuators.


There are many claims to the invention of the differential gear, but it is likely that it was known, at least in some places, in ancient times. Here are some of the milestones in the history of this device.

  • 2634 BC according to legend - South Pointing Chariot used by the Yellow Emperor Huang Di in China.
  • 1st century BC - Antikythera mechanism contains a planar differential.
  • 1810 - Rudolph Ackermann of Germany invents a four-wheel steering system for carriages, which some later writers mistakenly report as a differential.
  • 1827 - modern automotive differential patented by watchmaker Onésiphore Pecqueur (1792-1852) of the Conservatoire des Arts et Métiers in France for use on a steam car. Sources: Britannica Online and
  • 1832 - Richard Roberts of England patents 'gear of compensation', a differential for road locomotives.
  • 1876 - James Starley of Coventry invents chain-drive differential for use on bicycles; invention later used on automobiles by Carl Benz.
  • 1897 - first use of differential on an Australian steam car by David Shearer.

CATEGORIES (articles) > Running gear and steering > Components > Differential (mechanics)

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