Kinematic study of the general plane-symmetric Bricard linkage and its bifurcation variations

Huijuan Feng, Yan Chen, Jian S Dai, Grigore Gogu

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)
9 Downloads (Pure)

Abstract

In this paper, the explicit solutions to closure equations of the plane-symmetric Bricard linkage are derived and a thorough kinematic study of the general plane-symmetric Bricard linkage is conducted with DH matrix method. The derived 5 R /4 R linkages from this Bricard linkage are introduced. Various bifurcation cases of the plane-symmetric Bricard linkage with different geometric conditions are discussed, which include the bifurcation between two plane-symmetric Bricard linkage motion branches and the bifurcation among equiv- alent serial kinematic chains with revolute joints and a four-bar double-rocker linkage. Especially the plane-symmetric Bricard linkage that can bifurcate to the Bennett linkage is proposed for the first time. These findings not only offer an in-depth understanding about the kinematics of the general plane-symmetric Bricard linkage, but also bridge two over- constrained linkage groups, i.e., the Bennett-based linkages and Bricard-related ones, to reveal their intrinsic relationship.
Original languageEnglish
Pages (from-to)89-104
Number of pages16
JournalMechanism and Machine Theory
Volume116
Early online date24 May 2017
DOIs
Publication statusPublished - 1 Oct 2017
Externally publishedYes

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