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

Feng, Huijuan, Chen, Yan, Dai, Jian S. and Gogu, Grigore (2017) Kinematic study of the general plane-symmetric Bricard linkage and its bifurcation variations. Mechanism and Machine Theory, 116. pp. 89-104. ISSN 0094-114X

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Official URL: https://doi.org/10.1016/j.mechmachtheory.2017.05.0...

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.

Item Type: Article
Uncontrolled Keywords: Bifurcation, Closure equations, Explicit solution, The plane-symmetric Bricard linkage, Kinematics
Subjects: H300 Mechanical Engineering
H800 Chemical, Process and Energy Engineering
H900 Others in Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Rachel Branson
Date Deposited: 29 Jul 2020 08:44
Last Modified: 29 Jul 2020 08:45
URI: http://nrl.northumbria.ac.uk/id/eprint/43912

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