In kinematics, the Chebyshev Lambda Linkage[1] is a four-bar linkage that converts rotational motion to approximate straight-line motion with approximate constant velocity.[2] It is so-named because it looks like a lowercase Greek letter lambda (λ).[3] 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.[4]
Animation of the Chebyshev Lambda Linkage Dimensions (unit length a):
Link 2: a
Link 4: 2.5a
Link 3: 2.5a + 2.5a
Link 1 (horizontal distance between ground joints): 2a
Chebyshev's plantigrade machine.
A Chebyshev Translating Table Linkage, which combines together two cognate linkages: the Chebyshev Linkage and Chebyshev Lambda Linkage.
The example to the right spends over half of the cycle in the near straight portion. Coupler (link 3) point stays within 1% positional tolerance with intersecting the ideal straight line 6 times.
The Chebyshev Lambda Linkage is 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, a new mechanism design introduced by combining two symmetrical Lambda linkages to distribute the force evenly on to ground with providing the straight vertical wheel motion.[6] It was then designed, manufactured and tested in the Earth Rover Project of Los Angeles City College Electronics Club.[7]
chebyshev, lambda, linkage, kinematics, chebyshev, lambda, linkage, four, linkage, that, converts, rotational, motion, approximate, straight, line, motion, with, approximate, constant, velocity, named, because, looks, like, lowercase, greek, letter, lambda, pr. In kinematics the Chebyshev Lambda Linkage 1 is a four bar linkage that converts rotational motion to approximate straight line motion with approximate constant velocity 2 It is so named because it looks like a lowercase Greek letter lambda l 3 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 4 Animation of the Chebyshev Lambda Linkage Dimensions unit length a Link 2 a Link 4 2 5a Link 3 2 5a 2 5a Link 1 horizontal distance between ground joints 2a Chebyshev s plantigrade machine A Chebyshev Translating Table Linkage which combines together two cognate linkages the Chebyshev Linkage and Chebyshev Lambda Linkage The example to the right spends over half of the cycle in the near straight portion Coupler link 3 point stays within 1 positional tolerance with intersecting the ideal straight line 6 times The linkage was first shown in Paris on the Exposition Universelle 1878 as The Plantigrade Machine 5 3 The Chebyshev Lambda Linkage is a cognate linkage of the Chebyshev linkage The Chebyshev Lambda Linkage is 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 a new mechanism design introduced by combining two symmetrical Lambda linkages to distribute the force evenly on to ground with providing the straight vertical wheel motion 6 It was then designed manufactured and tested in the Earth Rover Project of Los Angeles City College Electronics Club 7 See also EditChebyshev linkage the cognate of the Chebyshev lambda linkage Hoeckens linkage a linkage that produces a very similar locus using one less link but an additional slider Leg mechanism Straight line mechanismReferences EditDesign of Machinery esp p134 Chebyshev s Lambda Mechanism Wolfram Demonstrations Project demonstrations wolfram com Design of Machinery 2011 a b Tchebyshev s plantigrade machine Mathematical Etudes Archived from the original on 2017 07 28 Retrieved 2014 11 16 DOM p134 Hoecken linkage PDF Dzenushko Dainis Walking mechanisms survey Department of Theoretical and Applied Mechanics Barlas Firat June 2004 Design of a Mars Rover suspension mechanism Izmir Institute of Technology hdl 11147 3449 Retrieved 3 April 2021 Moxie Video Intro It retrieved 2022 11 17External links Edit Wikimedia Commons has media related to Chebyshev s Lambda Mechanism Hoeckens approximate straight line mechanism diagram and table of lengths Hoeckens straight line linkage Archived 2011 07 06 at the Wayback Machine Homemade example Video of computer simulation of Tchebychev walking machine Stopohod Chebysheva alexdenouden nl Rectilinear motion after Tchebychev A simulation using the Molecular Workbench software How does a Hoecken s Linkage Work Interactive Flash Animation This technology related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Chebyshev lambda linkage amp oldid 1124624821, wikipedia, wiki, book, books, library,
