Chebyshev lambda linkage
The Hoeckens linkage[1] is a four-bar mechanism that converts rotational motion to approximate straight-line motion with approximate constant velocity.[2] It is named after Karl Hoecken (1874−1962). The precise design trades off straightness, lack of acceleration, and what proportion of the driving rotation is spent in the linear portion of the full curve.[3]
The example to the right spends over half of the cycle in the near straight portion.
The Hoeckens linkage is a cognate linkage of the Chebyshev linkage.
The linkage was first shown in Paris on the Exposition Universelle (1878) as "The Plantigrade Machine".[4][5]
The Hoeckens linkage looks like the greek letter lambda, therefore the linkage is also known as Lambda Mechanism.[6]
See also
- Straight line mechanism
- Peaucellier–Lipkin linkage (an 8-bar linkage)
- Chebyshev linkage
- Four-bar linkage
References
- ^ Ceccarelli, M. (2014). Distinguished Figures in Mechanism and Machine Science: Their Contributions and Legacies. History of mechanism and machine science. Springer London, Limited. ISBN 9789401789479.
- ^ Design of Machinery. 2011.
- ^ DOM p134 Hoecken linkage (PDF).
- ^ http://mech.spbstu.ru/Dzenushko_Dainis:_Walking_mechanisms_survey#The_Chebyshev_Walking_Mechanism
- ^ http://www.etudes.ru/en/etudes/stopohod/
- ^ http://www.etudes.ru/en/etudes/stopohod/
External links
- Hoeckens approximate straight-line mechanism (diagram and table of lengths)
- Hoeckens straight line linkage (Homemade example)
- Video of computer simulation of Tchebychev walking machine (Стопоход Чебышева).
- alexdenouden.nl - Rectilinear motion after "Tchebychev"
- A simulation using the Molecular Workbench software
- How does a Hoecken's Linkage Work? (Interactive Flash Animation)
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