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Self aligning torque

In today's world, Self aligning torque is a topic that has caught the attention of millions of people around the world. Since its emergence, Self aligning torque has triggered a series of debates, discussions and reflections that have highlighted the importance and impact it has on our society. Whether on a personal, social, political, economic or cultural level, Self aligning torque has left its mark in different areas, generating great interest and influence in the way we perceive and relate to the world around us. In this article, we will thoroughly explore the impact and relevance of Self aligning torque, analyzing its influence on various aspects of our daily lives and providing a complete overview of its meaning and impact today.

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A coordinate system used for tire analysis by Pacejka and Cossalter. The origin is at the intersection of three planes: the wheel midplane, the ground plane, and a vertical plane aligned with the axle (not pictured). The x-axis is in the ground plane and the midplane and is oriented forward, approximately in the direction of travel; the y-axis is also in the ground plane and rotated 90º clockwise from the x-axis when viewed from above; and the z-axis is normal to the ground plane and downward from the origin. Self aligning torque , slip angle , and camber angle are also shown.

Self aligning torque (SAT), also known as aligning torque or aligning moment (Mz, moment about the z direction), is the torque that a tire creates as it rolls along, which tends to steer it, i.e. rotate it around its vertical axis. In the presence of a non-zero slip angle, this torque tends to steer the tire toward the direction in which it is traveling, hence its name.[1][2]

The magnitude of this torque can be calculated as the product of the lateral force generated at the contact patch and the distance behind the wheel centre at which that force acts. This distance is known as the pneumatic trail. The steering torque around a non-vertical steer axis with non-zero mechanical trail is given by:

(trail + pneumatic trail) · cos(caster angle) · Fy

Even if the slip angle and camber angle are zero, and the road is flat, this torque will still be generated due to asymmetries in the tire's construction and the asymmetrical shape and pressure distribution of the contact patch. Typically for a production tire this torque reaches a maximum at 2–4 degrees of slip (this figure depends on many variables) and falls to zero as the tire reaches its maximum lateral force capability.

See also

References

  1. ^ Hans Pacejka (2005). Tyre and Vehicle Dynamics. Elsevier. p. 113. ISBN 9780080543338. Retrieved 2018-04-06. The self-aligning torque now reads: Mz = ...
  2. ^ Vittore Cossalter (2006). Motorcycle Dynamics. Lulu. p. 59. ISBN 9781430308614. Retrieved 2018-04-06. generates a moment that tends to rotate the tire in such a way as to diminish the slip angle. For this reason this moment is called the self-aligning moment.
  • Milliken and Milliken "Race Car Vehicle Dynamics" Chapter 2
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