Linkages of different dimensions with the same output motion
Showcase of nine different coupler-curve cognate linkages.
Top row: Four-bar cognate linkages. Middle row: Geared five-bar cognate linkages, derived from top row. Bottom row: Closely related six-bar cognate linkages, derived from middle row.
In kinematics, cognate linkages are linkages that ensure the same coupler curve geometry or input-output relationship, while being dimensionally dissimilar. In case of four-bar linkage coupler cognates, the Roberts–Chebyshev Theorem, after Samuel Roberts and Pafnuty Chebyshev,[1] states that each coupler curve can be generated by three different four-bar linkages. These four-bar linkages can be constructed using similar triangles and parallelograms, and the Cayley diagram (named after Arthur Cayley).
Overconstrained mechanisms can be obtained by connecting two or more cognate linkages together.
^Roberts and Chebyshev (Springer) Retrieved 2012-10-12
In kinematics, cognatelinkages are linkages that ensure the same coupler curve geometry or input-output relationship, while being dimensionally dissimilar...
linkage was first shown in Paris on the Exposition Universelle (1878) as "The Plantigrade Machine". The Chebyshev Lambda Linkage is a cognatelinkage...
motion. The Hoecken linkage is a cognatelinkage of the Chebyshev linkage and Chebyshev's Lambda Mechanism. The linkage was first published in 1926. A generalization...
coupler cognates and function cognates of the Watt II type. Coupler cognates of a four-bar linkage. Coupler cognates of a slider-crank linkage. Hoberman...
essentially the same mechanism. Chebyshev lambda linkage, the cognate of the Chebyshev linkage. Four-bar linkage Straight line mechanism Cornell university...
algebra Cayley–Menger determinant Cayley diagrams – used for finding cognatelinkages in mechanical engineering Cayley–Dickson construction Cayley algebra...
Cayley computer algebra system Cayley diagrams – used for finding cognatelinkages in mechanical engineering Cayley graph Cayley numbers Cayley plane...
criterion for the mobility analysis of linkages Roberts–Chebyshev theorem on the generation of cognate coupler-curves. Chebyshev (crater) 2010 Chebyshev...
itself comes from the Latin word insula. Old English ieg is actually a cognate of Swedish ö and German Aue, and more distantly related to Latin aqua (water)...
as CNTFR, binds the ciliary neurotrophic factor. This receptor and its cognate ligand support the survival of neurons. This receptor is most closely related...
English: [məsˈtiː]), and mixed (English) are all cognates of the Latin word mixticius. The Portuguese cognate, mestiço, historically referred to any mixture...
reconstruction of the ancestral forms from which the semantically corresponding cognates can be derived. — Hans Henrich Hock, Principles of Historical Linguistics...
thought to be a loan from one of the north Italic languages. The German cognate is "pflug", the Dutch "ploeg" and the Swedish "plog". In many Slavic languages...
individual Skou languages: Sko family cognates (I'saka, Barupu, Wutung, Skou) listed by Foley (2018): A cognate set for 'louse' in Sko languages (reconstructing...
Leicester, and by Chris McManus of UCL. However, growing evidence from linkage and genome-wide association studies suggests that genetic variance in handedness...
exhibit reduplication (e.g. halo-halo, patpat, etc.). Besides inherited cognates, this also accounts for innovations in Tagalog vocabulary, especially traditional...
lexical). In Austronesian and Papuan linguistics, this has been called a "linkage" by Malcolm Ross. Paul Sidwell (2015:197) considers Munda to consist of...
represent more than one primary subgroup or perhaps an innovation-defined linkage". Chen et al. (2022) present further arguments for the Philippine languages...
when used to aid in fuzzy string searching in applications such as record linkage, the compared strings are usually short to help improve speed of comparisons...
proposed the tentative Proto-Atlantic reconstructions: Sample Atlantic cognate sets: Reconstructions for indivuadal West Atlantic branches can be found...
and the related feminine equivalent is devi.: 496 Etymologically, the cognates of Devi are Latin dea and Greek thea. In Old Persian, daiva- means "demon...
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