A Family of Rotational Parallel Manipulators With Equal-Diameter Spherical Pure Rotation

In this work, a family of two degrees of freedom (2-DOF) rotational parallel manipulators (RPMs) with an equal-diameter spherical pure rotation (ESPR) is presented and discussed systematically. The theoretical models of both kinematics and constraints inherited in the manipulators are analyzed through a graphical approach. Based on the established constraint model, these 2-DOF ESPR RPMs are classified into three types according to their compositions of constraint spaces and several novel parallel manipulators are illustrated correspondingly. Finally, two common necessary geometric conditions satisfied for these manipulators are discussed in details with examples. The two conditions will be helpful for engineers with designing ESPR RPMs. Moreover, as one characteristic existing in the ESPR RPMs, two cases of self-rotations accompanying revolutions around fixed axes are revealed. As a result, the corresponding loci of points in the moving platform are proved to be compositions of two subrotations, which are spatial curves and surfaces rather than spherical curves and surfaces. [DOI: 10.1115/1.4025860]

[1]  Xianwen Kong.  Forward displacement analysis of a 2-DOF RR-R̲R̲R-RRR spherical parallel manipulator , 2010, Proceedings of 2010 IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications.

[2]  Mark Elling Rosheim,et al.  New high-angulation omni-directional sensor mount , 2002, SPIE Optics + Photonics.

[3]  Xianwen Kong,et al.  Mobility and Singularity Analysis of a Class of Two Degrees of Freedom Rotational Parallel Mechanisms Using a Visual Graphic Approach , 2012 .

[5]  Daxing,et al.  Type Synthesis and Characteristic Analysis of a Family of 2-DOF Rotational Decoupled Parallel Mechanisms , 2009 .

[6]  Rudolf Beyer,et al.  The kinematic synthesis of mechanisms , 1963 .

[7]  Jonathan B. Hopkins,et al.  Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (FACT). Part II: Practice , 2010 .

[8]  Mourad Karouia,et al.  New Parallel Wrists: Special Limbs with Motion Dependency , 2004 .

[9]  Maurizio Ruggiu.  Kinematic and Dynamic Analysis of a Two-Degree-of-Freedom Spherical Wrist , 2010 .

[10]  J. Sofka,et al.  Omni-Wrist III - a new generation of pointing devices. Part I. Laser beam steering devices - mathematical modeling , 2006, IEEE Transactions on Aerospace and Electronic Systems.

[11]  Grigore Gogu.  Structural synthesis of parallel robots. , 2008 .

[12]  Stephen L. Canfield,et al.  Development of the Carpal Robotic Wrist , 1997, ISER.

[13]  Xianwen Kong,et al.  Forward Displacement Analysis and Singularity Analysis of a Special 2-DOF 5R Spherical Parallel Manipulator , 2009 .

[14]  Zexiang Li,et al.  Geometric properties of zero-torsion parallel kinematics machines , 2010, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[15]  G. R. Dunlop,et al.  Position analysis of a two DOF parallel mechanism—the Canterbury tracker , 1999 .

[16]  K. H. Hunt.  Constant-Velocity Shaft Couplings: A General Theory , 1973 .

[17]  Massimo Callegari.  Design and Prototyping of a Spherical Parallel Machine Based on 3-CPU Kinematics , 2008 .

[18]  Jacques Marie Hervé,et al.  Uncoupled actuation of pan-tilt wrists , 2006, IEEE Transactions on Robotics.

[19]  Syamsul Huda,et al.  Kinematic design of 3-URU pure rotational parallel mechanism to perform precise motion within a large workspace , 2011 .

[20]  Pan Cunyun,et al.  On grinding manufacture technique and tooth contact and stress analysis of ring-involute spherical gears , 2009 .

[21]  C. R. Tischler,et al.  A spatial extension of Cardanic movement: its geometry and some derived mechanisms , 1998 .

[22]  Ilian A. Bonev,et al.  Orientation Capability, Error Analysis, and Dimensional Optimization of Two Articulated Tool Heads With Parallel Kinematics , 2008 .

[23]  Mark Elling Rosheim,et al.  Free-space optical communications system pointer , 2003, SPIE LASE.

[24]  Jorge Angeles,et al.  The Design of a Chain of Spherical Stephenson Mechanisms for a Gearless Robotic Pitch-Roll Wrist , 2006 .

[25]  Ilian A. Bonev,et al.  Geometric analysis of parallel mechanisms , 2002 .

[26]  C. H. Suh.  Design of spatial linkages to replace gears , 1970 .

[27]  M. Carricato.  Decoupled and Homokinetic Transmission of Rotational Motion via Constant-Velocity Joints in Closed-Chain Orientational Manipulators , 2009 .

[28]  Victor A. Skormin,et al.  New generation of gimbals systems for aerospace applications , 2007 .

[29]  Vincenzo Parenti-Castelli,et al.  Synthesis of 2-DOF spherical fully parallel mechanisms , 2006, ARK.

[30]  Vladimir V. Nikulin,et al.  New generation of gimbals systems for laser positioning applications , 2004, SPIE Optics + Photonics.