Mobility analysis of a Sarrus Linkage-like 7-R single closed loop mechanism

This paper introduces the mobility analysis of a 1-DOF (Degrees of Freedom) Sarrus Linkage like 7-R single closed loop mechanism. The analysis procedure implements both group theory based criterion and reciprocal screw theory. The analysis shows that such mechanism allows rectilinear motion with full-cycle mobility. Further, unlike the Sarrus Linkage, which is overconstrained, this 7-R linkage is non-overconstrained. This property makes the Sarrus Linkage-like mechanism more robust to manufacturing errors. Simulation has shown that even with large manufacturing errors, such mechanism is still able to realize desired rectilinear motion. One possible application for this mechanism is a durable automotive suspension.

[1]  Zhong You,et al.  Spatial Overconstrained Linkages—The Lost Jade , 2012 .

[2]  Chung-Ching Lee,et al.  Parallel mechanisms generating 3-DoF finite translation and (2 or 1)-DoF infinitesimal rotation , 2012 .

[3]  Joseph James Duffy,et al.  A displacement analysis of the general spatial 7-link, mechanism , 1980 .

[4]  Fulei Chu,et al.  Synthesis of Rectilinear Motion Generating Spatial Mechanism With Application to Automotive Suspension , 2008 .

[5]  Kenneth H. Hunt,et al.  Screw axes and mobility in spatial mechanisms via the linear complex , 1967 .

[6]  Janusz,et al.  Geometrical Methods in Robotics , 1996, Monographs in Computer Science.

[7]  Zexiang Li,et al.  A Geometric Theory for Analysis and Synthesis of Sub-6 DoF Parallel Manipulators , 2007, IEEE Transactions on Robotics.

[8]  Jaime Gallardo-Alvarado,et al.  Lie Algebra and the Mobility of Kinematic Chains , 2003, J. Field Robotics.

[9]  C. Galletti,et al.  Metric Relations and Displacement Groups in Mechanism and Robot Kinematics , 1995 .

[10]  J. M. Hervé,et al.  Structural synthesis of 'parallel' robots generating spatial translation , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[11]  Pietro Fanghella,et al.  Kinematics of spatial linkages by group algebra: A structure-based approach , 1988 .

[12]  K. H. Hunt Prismatic pairs in spatial linkages , 1967 .

[13]  Qinchuan Li,et al.  A Unified Methodology for Mobility Analysis Based on Screw Theory , 2008 .

[14]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[15]  C. Galletti,et al.  Mobility analysis of single-loop kinematic chains: an algorithmic approach based on displacement groups , 1994 .

[16]  Chung-Ching Lee,et al.  Generators of the product of two Schoenflies motion groups , 2010 .

[17]  José María Rico Martínez,et al.  On Mobility Analysis of Linkages Using Group Theory , 2003 .

[18]  J. Hervé Analyse structurelle des mcanismes par groupe des dplacements , 1978 .