Ackermann Steering Geometry
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The Ackermann steering geometry is a geometric arrangement of linkages in the
steering Steering is a system of components, linkages, and other parts that allows a driver to control the direction of the vehicle. Introduction The most conventional steering arrangement allows a driver to turn the front wheels of a vehicle using ...
of a car or other
vehicle A vehicle (from la, vehiculum) is a machine that transports people or cargo. Vehicles include wagons, bicycles, motor vehicles (motorcycles, cars, trucks, buses, mobility scooters for disabled people), railed vehicles (trains, trams), ...
designed to solve the problem of wheels on the inside and outside of a turn needing to trace out
circles A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is const ...
of different
radii In classical geometry, a radius ( : radii) of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin ''radius'', meaning ray but also the ...
. It was invented by the German carriage builder
Georg Lankensperger Georg Lankensperger (also: Lankensberger), (31 March 1779 – 11 July 1847) was a German wheelwright who invented the steering mechanism that is today known as Ackermann steering geometry. He patented the invention in Germany, but his agent Rud ...
in Munich in 1817, then patented by his agent in England, Rudolph Ackermann (1764–1834) in 1818 for horse-drawn carriages. Erasmus Darwin may have a prior claim as the inventor dating from 1758. He devised his steering system because he was injured when a carriage tipped over.


Advantages

The intention of Ackermann geometry is to avoid the need for tires to slip sideways when following the path around a curve. The geometrical solution to this is for all wheels to have their axles arranged as radii of circles with a common centre point. As the rear wheels are fixed, this centre point must be on a line extended from the rear axle. Intersecting the axes of the front wheels on this line as well requires that the inside front wheel be turned, when steering, through a greater angle than the outside wheel. Rather than the preceding "turntable" steering, where both front wheels turned around a common pivot, each wheel gained its own pivot, close to its own hub. While more complex, this arrangement enhances controllability by avoiding large inputs from road surface variations being applied to the end of a long lever arm, as well as greatly reducing the fore-and-aft travel of the steered wheels. A linkage between these hubs pivots the two wheels together, and by careful arrangement of the linkage dimensions the Ackermann geometry could be approximated. This was achieved by making the linkage ''not'' a simple parallelogram, but by making the length of the
track rod A tie rod or tie bar (also known as a hanger rod if vertical) is a slender structural unit used as a tie and (in most applications) capable of carrying tensile loads only. It is any rod or bar-shaped structural member designed to prevent the separa ...
(the moving link between the hubs) shorter than that of the axle, so that the steering arms of the hubs appeared to "
toe Toes are the digits (fingers) of the foot of a tetrapod. Animal species such as cats that walk on their toes are described as being ''digitigrade''. Humans, and other animals that walk on the soles of their feet, are described as being ''plan ...
out". As the steering moved, the wheels turned according to Ackermann, with the inner wheel turning further. If the track rod is placed ahead of the axle, it should instead be longer in comparison, thus preserving this same "toe out".


Design and choice of geometry

A simple approximation to perfect Ackermann steering geometry may be generated by moving the steering pivot points inward so as to lie on a line drawn between the steering kingpins and the centre of the rear axle. The steering pivot points are joined by a rigid bar called the
tie rod A tie rod or tie bar (also known as a hanger rod if vertical) is a slender structural unit used as a tie and (in most applications) capable of carrying tensile loads only. It is any rod or bar-shaped structural member designed to prevent the separa ...
, which can also be part of the steering mechanism, in the form of a rack and pinion for instance. With perfect Ackermann, at any angle of steering, the centre point of all of the circles traced by all wheels will lie at a common point. Note that this may be difficult to arrange in practice with simple linkages, and designers are advised to draw or analyse their steering systems over the full range of steering angles. Modern cars do not use ''pure'' Ackermann steering, partly because it ignores important dynamic and compliant effects, but the principle is sound for low-speed maneuvers. Some racing cars use ''reverse'' Ackermann geometry to compensate for the large difference in
slip angle In vehicle dynamics, slip angle or sideslip angle is the angle between the direction in which a wheel is pointing and the direction in which it is actually traveling (i.e., the angle between the forward velocity vector v_x and the vector su ...
between the inner and outer front tires while cornering at high speed. The use of such geometry helps reduce tire temperatures during high-speed cornering but compromises performance in low-speed maneuvers.


Extended Ackermann condition

The Ackermann condition of vehicle train is fulfilled when both the vehicle wheel and the trailer wheel axes are pointing to the theoretical turning center (momentan centrum). In German: Unlike single vehicles, having the steering wheels turned, the vehicle combinations have to travel a certain distance to have this condition formed.


See also

*
Front axle assembly Turning radius was a longstanding problem with wagons, dictated by the distance between the front wagon wheels and the bed of the wagon—namely, the point where the rotating wheels collide with the side of the wagon when turning. Many earlier desi ...


References


External links


2002 technical paper on Ackermann steering linkage designAckerman? Or not? Does it matter?True Ackermann & Dynamic generated Ackermann


* ttp://www.racingonthecheap.com/recommended-reading/carroll-smiths-handling-guide/ Problems experienced that may be due to excessive Ackermann or insufficient Ackermannbr>Ackermann Steering and Racing Circle (oval) Tracks, includes the toe out effect when Ackermann steering geometry is included and its use in racingErasmus Darwin House, Lichfield UK. Museum. Darwin Page
* ttps://blackboots.co.uk/tyre-and-alignment-technical-information/ Wheel Alignment Explained {{Powertrain Automotive steering technologies