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">http://demonstrations.wolfram.com/ChebyshevsLambdaMechanism/</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 what proportion of the driving rotation 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.
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The linkage was first shown in Paris on the [[Exposition Universelle (1878)]] as "The Plantigrade Machine".<ref>http://mech.spbstu.ru/Dzenushko_Dainis:_Walking_mechanisms_survey#The_Chebyshev_Walking_Mechanism</ref><ref>http://www.etudes.ru/en/etudes/stopohod/</ref>
 
The Chebyshev's Lambda Mechanism looks like the greekGreek letter lambda, therefore the linkage is also known as Lambda Mechanism.<ref>http://www.etudes.ru/en/etudes/stopohod/</ref>
 
==See also==
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==External links==
{{commonscatcommons category|Chebyshev's Lambda Mechanism}}
*[http://www.designofmachinery.com/DOM/Chap_03_3ed_p134.pdf Hoeckens approximate straight-line mechanism] (diagram and table of lengths)
*[http://flash.lakeheadu.ca/~kliu/hoekens.jpg Hoeckens straight line linkage] (Homemade example)
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[[Category:Linkages (mechanical)]]
 
 
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