Chebyshev lambda linkage: Difference between revisions

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[[File:Lambda mechanism.svg|upright=0.5|thumb|Lambda Mechanism]]
 
The '''Chebyshev's Lambda Mechanism'''<ref name="Wolfram">{{Cite web|url=http://demonstrations.wolfram.com/ChebyshevsLambdaMechanism/|title=Chebyshev's Lambda Mechanism - Wolfram Demonstrations Project}}</ref> is a [[four-bar mechanism]] that converts rotational motion to approximate [[straight-line motion]] with approximate constant velocity.<ref name=DOM>{{cite book |url=http://www.designofmachinery.com/DOM/ |title=Design of Machinery |year=2011}}</ref> The precise design trades off straightness, lack of acceleration, and the proportion of the driving rotation that is spent in the linear portion of the full curve.<ref name=DOM134>{{cite book |url=http://www.designofmachinery.com/DOM/Chap_03_3ed_p134.pdf |title=DOM p134 Hoecken linkage }}</ref>
 
The example to the right spends over half of the cycle in the near straight portion. Coupler point stays within 1% positional tolerance with intersecting the ideal straight line 6 times.
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The Chebyshev's Lambda Mechanism is a [[cognate linkage]] of the [[Chebyshev linkage]].
 
The linkage was first shown in Paris on the [[Exposition Universelle (1878)]] as "The Plantigrade Machine".<ref>{{Cite web|url=http://mech.spbstu.ru/Dzenushko_Dainis:_Walking_mechanisms_survey#The_Chebyshev_Walking_Mechanism|title = Dzenushko Dainis: Walking mechanisms survey - Department of Theoretical and Applied Mechanics}}</ref><ref name=etudes>{{cite web |url=https://etudes.ru/en/etudes/chebyshev-plantigrade-machine/ |title=Tchebyshev's plantigrade machine — Mathematical Etudes |accessdate=2014-11-16 |url-status=dead |archiveurl=https://web.archive.org/web/20170728024836/http://www.etudes.ru/en/etudes/chebyshev-plantigrade-machine |archivedate=2017-07-28 }}</ref>
 
The Chebyshev's Lambda Mechanism is so-named because it looks like a lowercase Greek letter [[lambda]].<ref name=etudes/>