Rack and pinion

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For rack-and-pinion railways, see Rack railway.
Animation of a rack and pinion

A rack and pinion is a type of linear actuator that comprises a circular gear (the pinion) engaging a linear gear (the rack).[1] Together, they convert between rotational motion and linear motion: rotating the pinion causes the rack to be driven in a line. Conversely, moving the rack linearly will cause the pinion to rotate.

The rack and pinion mechanism is used in

lock gates, electric gates, and the mechanical steering
mechanism of cars are other notable applications.

The term "rack and pinion" may be used also when the rack is not straight but arcuate (bent), namely just a section of a large gear.[2]

A single pinion can simultaneously drive two racks, parallel but opposite; which will always be displaced by the same distance, only in opposite directions. Conversely, by applying opposite forces to the two racks one can obtain pure torque on the pinion, without any force component. This double rack and pinion mechanism can be used, for example, with a pair of pneumatic actuators to operate a valve with minimum stress.[3]

  • Lock gate lifter on a canal
    Lock gate lifter on a canal
  • Electric gate
    Electric gate
  • Automobile steering mechanism
    Automobile steering mechanism
  • Rack railway wheelset
    Rack railway wheelset
  • Funicular wheelset and brake
    Funicular wheelset and brake
  • Double-rack pneumatic valve actuator
    Double-rack pneumatic valve actuator

History

The time and place of the invention of the rack-and-pinion mechanism are unknown, but it presumably was not long after the invention of gears. The

BC.[citation needed
]

In 1598, firearms designer Zhao Shizhen developed the Xuanyuan

muskets that used a rack-and-pinion mechanism.[5][6]

The use of a variable rack (still using a normal pinion) was invented by Arthur Ernest Bishop[7] in the 1970s, so as to improve vehicle response and steering "feel", especially at high speeds. He also created a low cost press forging process to manufacture the racks, eliminating the need to machine the gear teeth.

Comparison with Worm gear

A rack and pinion has roughly the same purpose as a

worm gear with a rack replacing the gear, in that both convert torque to linear force. However the rack and pinion generally provides higher linear speed — since a full turn of the pinion displaces the rack by an amount equal to the pinion's pitch circle whereas a full rotation of the worm screw only displaces the rack by one tooth width. By the same token, a rack and pinion mechanism yields a smaller linear force than a worm gear, for the same input torque. Also, a rack and pinion pair can be used in the opposite way, to turn linear force into torque; whereas a worm drive can be used in only one way.[8]

Geometry

The teeth of a rack and pinion pair may be either straight (parallel to the rotation axis, as in a

helical. On the pinion, the profile of the working tooth surfaces is usually an arc of involute, as in most gears. On the rack, on the other hand, the matching working surfaces are flat. One may interpret them as involute tooth faces for a gear with infinite radius. In both parts the teeth are typically formed with a gear cutter (a hob).[1]

See also

References

Wikimedia Commons has media related to Rack gears.
  1. ^
    OCLC 65562739
    . ANSI/AGMA 1012-G05.
  2. ISBN 3662053020
    .
  3. ^ "Automax SuperNova Series Pneumatic Rack & Pinion Actuators" (PDF). Flowserve Corporation. Retrieved 7 July 2014.
  4. ^ Zhao Shizhen (1598): Shen Qi Pu (神器譜)
  5. ISBN 0-521-30358-3
  6. ^ 和田, 博徳 (October 1958). 明代の鐡砲傳來とオスマン帝國 : 神器譜と西域土地人物略」『史學』第31巻1-4. Tokyo: 三田史学会、東京. pp. 692–719.
  7. ^ "Rack and pinion variable ratio steering gear". Google Patent Search. Retrieved 2007-03-22.[dead link‍]
  8. ^ ZHY Gear(1023): "Worm Gears vs. Rack and pinion". Online article at the company's website. Archived on 2024-07-28.
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