Dynamique des cycles - Définition

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Maneuverability and handling

Bike maneuverability and handling is difficult to quantify for several reasons. The geometry of a bike, especially the steering axis angle makes kinematic analysis complicated. Under many conditions, bikes are inherently unstable and must always be under rider control. Finally, the rider's skill has a large influence on the bike's performance in any maneuver.

Bike designs tend to consist of a trade-off between maneuverability and stability.

Rider control inputs

The primary control input that the rider can make is to apply a torque directly to the steering mechanism via the handlebars. Because of the bike's own dynamics, due to steering geometry and gyroscopic effects, direct control over steering angle has been found to be problematic.

A secondary control input that the rider can make is to lean the upper torso relative to the bike. As mentioned above, the effectiveness of rider lean varies inversely with the mass of the bike. On heavy bikes, such as motorcycles, rider lean mostly alters the ground clearance requirements in a turn, improves the view of the road, and improves the bike system dynamics in a very low-frequency passive manner.

Differences from automobiles

The need to keep a bike upright to avoid injury to the rider and damage to the vehicle even limits the type of maneuverability testing that is commonly performed. For example, while automobile enthusiast publications often perform and quote skidpad results, motorcycle publications do not.

The need to "set up" for a turn, lean the bike to the appropriate angle, means that the rider must see further ahead than is necessary for a typical car at the same speed, and this need increases more than in proportion to the speed.

Rating schemes

Several schemes have been devised to rate the handling of bikes, particularly motorcycles.

The roll index is the ratio between steering torque and roll or lean angle.

The acceleration index is the ratio between steering torque and lateral or centripetal acceleration.

The steering ratio is the ratio between the theoretical turning radius based on ideal tire behavior and the actual turning radius. Values less than one, where the front wheel side slip is greater than the rear wheel side slip, are described as under-steering; equal to one as neutral steering; and greater than one as over-steering. Values less than zero, in which the front wheel must be turned opposite the direction of the curve due to much great rear wheel side slip than front wheel have been described as counter-steering. Riders tend to prefer neutral or slight over-steering. Car drivers tend to prefer under-steering.

The Koch index is the ratio between peak steering torque and the product of peak lean rate and forward speed. Large, touring motorcycles tend to have a high Koch index, sport motorcycles tend to have a medium Koch index, and scooters tend to have a low Koch index. It is easier to maneuver light scooters than heavy motorcycles.

Other hypotheses

Although bicycles and motorcycles can appear to be simple mechanisms with only four major moving parts (frame, fork, and two wheels), these parts are arranged in a way that makes them complicated to analyze. While it is an observable fact that bikes can be ridden even when the effet gyroscopique of their wheels are canceled out, the hypothesis that the gyroscopic effects of the wheels are what keep a bike upright is common in print and online.

Examples in print:

  • "Angular momentum and motorcycle counter-steering: A discussion and demonstration", A. J. Cox, Am. J. Phys. 66, 1018–1021 ~1998
  • "The motorcycle as a gyroscope", J. Higbie, Am. J. Phys. 42, 701–702
  • The Physics of Everyday Phenomena, W. T. Griffith, McGraw–Hill, New York, 1998, p. 149–150.
  • The Way Things Work., Macaulay, Houghton-Mifflin, New York, NY, 1989

And online:

  • www.physlink.com
  • www.straightdope.com
  • www.everything2.com
  • library.thinkquest.org
  • www.rider-ed.com
  • www.totalmotorcycle.com
  • The Third Gyroscope
  • www.motorcyclists-online.com
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