2020
DOI: 10.1139/tcsme-2019-0156
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An algebraic input–output equation for planar RRRP and PRRP linkages

Abstract: In this paper the algebraic input-output (IO) equations for planar RRRP and PRRP linkages are derived by mapping the linkage displacement constraints into Study's soma coordinates and then using tangent-half angle substitutions to transform the trigonometric into algebraic expressions. Both equations are found to be equivalent to the one that has already been derived for RRRR linkages, giving exciting new insight into kinematic analysis and synthesis of planar four-bar linkages. The algebraic properties of the… Show more

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Cited by 3 publications
(2 citation statements)
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“…Some of the research presented in this work has been published in 13 peer-reviewed journal or conference articles: [6,18,19,20,21,22,23,24,25,26,27,28,29].…”
Section: Another Outcome Of This Work Is the Derivation Of The Algebr...mentioning
confidence: 99%
See 1 more Smart Citation
“…Some of the research presented in this work has been published in 13 peer-reviewed journal or conference articles: [6,18,19,20,21,22,23,24,25,26,27,28,29].…”
Section: Another Outcome Of This Work Is the Derivation Of The Algebr...mentioning
confidence: 99%
“…Together, both branches cover the entire circuit. Detailed examples are covered in[29]. For example, consider the v 1 -d 4 equation of the RRRP with the following link lengths: a 1 = 3, a 2 = 2 and a 4 = −4.…”
mentioning
confidence: 99%