- Source: Chebyshev lambda linkage
In kinematics, the Chebyshev Lambda Linkage is a four-bar linkage that converts rotational motion to approximate straight-line motion with approximate constant velocity. It is so-named because it looks like a lowercase Greek letter lambda (λ). 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.
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".
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 introduced a new mechanism design by combining two symmetrical Lambda linkages to distribute the force evenly on to ground with providing the straight vertical wheel motion. It was then designed, manufactured and tested in the Earth Rover Project of Los Angeles City College Electronics Club.
See also
Chebyshev 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 mechanism
References
Design of Machinery – esp' p134
External links
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 (Стопоход Чебышева).
alexdenouden.nl – Rectilinear motion after "Tchebychev"
A simulation Archived 2011-07-25 at the Wayback Machine using the Molecular Workbench software
How does a Hoecken's Linkage Work? (Interactive Flash Animation)
Kata Kunci Pencarian:
- Mekanisme garis lurus
- Chebyshev lambda linkage
- Chebyshev linkage
- Straight-line mechanism
- Hoecken linkage
- Four-bar linkage
- Cognate linkage
- Klann linkage
- List of things named after Pafnuty Chebyshev
- Leg mechanism
- List of statistics articles
