Chebyshev lambda linkage: Difference between revisions

Revision as of 17:55, 3 December 2014

Revision as of 18:05, 3 December 2014

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[[Image:Hoekens linkage animated.gif|right|HoeckensChebyshev's linkageLambda Mechanism]]

[[File:Tchebyshevs plantigrade machine.gif|thumb|Tchebyshevs plantigrade machine]]

[[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> 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.<ref name=DOM134>{{cite book |url=http://www.designofmachinery.com/DOM/Chap_03_3ed_p134.pdf |title=DOM p134 Hoecken linkage }}</ref>

The '''Hoeckens linkage'''<ref>{{cite book

|title=Distinguished Figures in Mechanism and Machine Science: Their Contributions and Legacies

|author=Ceccarelli, M.

|isbn=9789401789479

|series=History of mechanism and machine science

|url=http://books.google.de/books?id=yavIAwAAQBAJ

|year=2014

|publisher=Springer London, Limited

}}</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> 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.<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.

The HoeckensChebyshev's linkageLambda 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>http://mech.spbstu.ru/Dzenushko_Dainis:_Walking_mechanisms_survey#The_Chebyshev_Walking_Mechanism</ref><ref>http://www.etudes.ru/en/etudes/stopohod/</ref>

The HoeckensChebyshev's linkageLambda Mechanism looks like the greek 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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*[[Chebyshev linkage]]

*[[Four-bar linkage]]

*[[Hoeckens linkage]]

==References==

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==External links==

{{commonscat|HoeckensChebyshev's linkageLambda 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)