Hoeck Mechanism

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Hoeck mechanism, animated all around
Hoeck mechanism, animation of the straight half of the period

The Hoecken Mechanism (named after Karl Hoecken , 1874–1962) is a four-part coupling gear that converts a rotary movement into an approximately straight movement of approximately constant speed ( straight line ). This mechanism is related to the Chebyshev mechanism and in particular the Chebyshev lambda mechanism . In the animated example, the straight-line movement takes a little longer than half the period.

The mechanism was published in 1926.

Robert Kraus later came up with values ​​similar to Hoecken with less computational effort.

Derivation

Another mechanism was derived from the Hoecken Mechanism

The Hoecken mechanism was derived from another mechanism (Figure). This mechanism consists of the glider A, the pivot point O and the straight line g (see actual conchoid ). The slider A moves on a vertical line through the fixed point Q. The straight line g passes through the pivot point O and the slider A. Points P are marked on the straight line g.

As the slider A moves downwards, the points P move on the blue curves (one can also imagine that blue colored pencils are attached to the points P). The points P, which are further away from A than the pivot point O from fixed point Q, form a loop.

Almost round loop

If you choose suitable parameters, you will find a loop that is approximately round, i.e. can be replaced approximately by a circle with center m and radius r (figure). The Hoeckens mechanism now uses a crank with radius r and a rod the length that goes through pivot point O to reverse the mechanism. The developed mechanism now creates an approximately straight line (recognizable by the red movement path).

other names

  • Conchoidal handlebar as a straight line

Web links

Commons : Hoeckens linkage  - collection of images, videos and audio files

Individual evidence

  1. ↑ M. Ceccarelli (Ed.): Distinguished Figures in Mechanism and Machine Science: Their Contributions and Legacies (=  History of mechanism and machine science . Volume 26 ). Springer, London 2014, ISBN 978-94-017-8947-9 , pp. 114 ff . ( limited preview in Google Book search).
  2. ↑ Teun Koetsier, M. Ceccarelli (Ed.): Explorations in the History of Machines and Mechanisms: Proceedings of HMM2012 . Springer, Netherland 2012, ISBN 978-94-007-4132-4 , pp. 123 ff . ( limited preview in Google Book search).
  3. ↑ DMG Lib: Browse, Literature .
  4. ↑ Karl Hoecken: Increase in profitability through appropriate application of the transmission theory, workshop technology 1926 .
  5. ↑ 9th Transmission Technology Colloquium - Three transmissions by Karl Hoecken . (PDF)
  6. ↑ Arthur Bock: Worksheets for the construction of mechanisms: Part 1 Digital Mechanisms and Gear Library, Ilmenau 1997, sheet 1.1.2.1.1.1, p. 3
  7. ↑ Applied gear theory . In: Digital Mechanism and Gear Library. Schroedel, Hanover a. a. 1952, p. 178
  8. ↑ 9th Transmission Technology Colloquium - Three transmissions by Karl Hoecken . (PDF)