阿克曼转向几何

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阿克曼转向几何

Ackermann steering geometry

geometric layout of car steering linkages to handle different track diameters on inside and outside wheels during cornering

阿克曼转向几何 是一种为了解决交通工具转弯时,内外转向轮路径指向的圆心不同的几何学,

摘自维基百科「阿克曼轉向幾何」,CC BY-SA 4.0

类型
原理
发现者 / 提出者
Georg Lankensperger
命名来源
Rudolph Ackermann

百科正文

这个想法是由德国车辆工程师“Lankensperger”于1817年提出的,之后由他的英国代理商Rudolph Ackermann于1818年提出专利。另一方面,伊拉斯谟斯·达尔文可能早在1758年就提出了这一想法。

同样的想法在1870也由法国的Bollée和Jeantaud 发展了出来。

依据阿克曼转向几何设计的车辆,沿着弯道转弯时,利用四连杆的相等曲柄使内侧轮的转向角比外侧轮大大约2~4度,使四个轮子路径的圆心大致上交会于后轴的延长线上瞬时转向中心,让车辆可以顺畅的转弯。

以上内容摘自维基百科「阿克曼轉向幾何」,按 CC BY-SA 4.0 使用,去掉了参考文献、外部链接等尾部小节,公式改写成了纯文本。全文、配图和出处见原文。

英文维基百科补充中文条目比较短,下面是英文条目「Ackermann steering geometry」的原文

The Ackermann steering geometry (also called Ackermann's steering trapezium) is a geometric arrangement of linkages in the steering of a car or other vehicle designed to solve the problem of wheels on the inside and outside of a turn needing to trace out circles of different radii.

It was invented by the German carriage builder Georg Lankensperger in Munich in 1816, 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 first requirement of any steering geometry is to avoid the need for tyres 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 and where the axis of one front wheel meets that line, and the same with the other. A billy cart or four-wheel wagon, whose front axles are fixed to a solid beam with a central pivot, easily meets this condition but requires considerable steering effort because of the fore-and-aft movement of the wheels, and is heavily influenced by road surface variations.

Rather than the preceding "turntable" steering, Ackermann geometry gives each front wheel hub its own pivoted carrier (on solid axles this pivot is called a kingpin but on more complex suspension it may be separate upper and lower pivots), close to its hub. While more complex, this arrangement enhances controllability by reducing the fore-and-aft travel of the steered wheels. Optimally the kingpin is aligned so that its centre line, extended to the ground, co-incides with the centre of the road wheel where it touches the ground, thus mostly eliminating "bump steer" (where hitting a bump with one wheel causes the steering to move violently - a key problem on fast stagecoaches with turntable steering).

The hub carriers have steering arms and the link between these is known as a tie rod or track rod which is moved from side to side to steer the vehicle. When the wheels are set straight ahead, the whole arrangement of the axle, steering arms and tie rod forms a trapezium(see picture). When the wheels are turned, the inner wheel turns farther than the outer wheel.

Design and choice of geometry

A simple approximation to perfect Ackermann steering geometry may be generated by moving the steering arm pivot points inward so as to lie on a line drawn between the steering kingpins, which are the hub carrier pivot points, and the centre of the rear axle. The steering arm pivot points are joined by a rigid bar called the tie rod. 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.

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 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).

以上内容摘自英文维基百科「Ackermann steering geometry」,按 CC BY-SA 4.0 使用,去掉了参考文献、外部链接等尾部小节,公式改写成了纯文本。全文、配图和出处见原文。

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