Chebyshev lambda linkage: Difference between revisions

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Chebyshev Mechanism positional tolerance and line straightness details, Double Lambda Chebyshev mechanism and applications have been added.
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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 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.
 
The Chebyshev's Lambda Mechanism is a [[cognate linkage]] of the [[Chebyshev linkage]].
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The Chebyshev's Lambda Mechanism looks like the Greek letter lambda, therefore the linkage is also known as Lambda Mechanism.<ref>{{cite web|url=http://www.etudes.ru/en/etudes/stopohod/ |title=Archived copy |accessdate=2014-11-16 |url-status=dead |archiveurl=https://web.archive.org/web/20141129015429/http://www.etudes.ru/en/etudes/stopohod/ |archivedate=2014-11-29 }}</ref>
 
Chebyshev's Lambda Mechanism used in vehicle suspension mechanisms, walking robots and rover wheel mechanisms. In 2004, a study completed as a Master of Science Thesis at [[Izmir_Institute_of_Technology|Izmir Institute of Technology]], a new mechanism design introduced by combining two symmetrical Lambda Mechanism to distribute the force evenly on to ground with providing the straight vertical wheel motion.<ref>https://openaccess.iyte.edu.tr/handle/11147/3449 Design of A Mars Rover Suspension Mechanism</ref>
 
Double Lambda Chebyshev Mechanism rover suspension design manufactured and tested in Earth Rover Project of Los Angeles City College Electronics Club <ref>https://vimeo.com/117774490 Video of The Earth Rover Moxie</ref>
 
==See also==
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*[http://mw.concord.org/modeler1.3/mirror/mechanics/peaucellier.html A simulation] using the Molecular Workbench software
*[http://www.mekanizmalar.com/hoekens_linkage.html How does a Hoecken's Linkage Work?] (Interactive Flash Animation)
*[https://openaccess.iyte.edu.tr/handle/11147/3449 Design of A Mars Rover Suspension Mechanism] (Master's Thesis about Double Lambda Mechanism)
[[Category:Linkages (mechanical)]]