Unified solving inverse dynamics of 6-DOF serial–parallel manipulators

Abstract The unified inverse dynamics model of serial–parallel manipulators (S–PMs) formed by two parallel manipulators (PMs) connected in series is systematically established based on the constraint and the coupling characteristics of the single PMs in the S–PM. First, the common formulas for solving inverse kinematics of S–PMs is derived. Second, the inverse dynamics model is established based on the principle of virtual work. Finally, a novel (UPR + RPS + SPS) + (3-SPS/UP) S–PM is analyzed to illustrate the generality and effectiveness of the solving procedures.

[1]  Lotfi Romdhane Design and analysis of a hybrid serial-parallel manipulator , 1999 .

[2]  M. Bergamasco,et al.  Dynamics of parallel manipulators by means of screw theory , 2003 .

[3]  Marco,et al.  Experimental Characterization of Operation of a Waist-Trunk System with Parallel Manipulators , 2011 .

[4]  Md. Nazrul Islam,et al.  Kinematics and dynamics of 2(3-RPS) manipulators by means of screw theory and the principle of virtual work , 2008 .

[5]  Jaime Gallardo-Alvarado,et al.  The kinematics of modular spatial hyper-redundant manipulators formed from RPS-type limbs , 2011, Robotics Auton. Syst..

[6]  Bo Hu,et al.  Inverse dynamics modeling of a (3-UPU)+(3-UPS+S) serial-parallel manipulator , 2014, Robotica.

[7]  Marco Ceccarelli,et al.  Design and simulation of a waist–trunk system for a humanoid robot , 2012 .

[8]  Lung-Wen Tsai,et al.  Kinematic Analysis of 3-DOF Position Mechanisms for Use in Hybrid Kinematic Machines , 2002 .

[9]  Bo Hu,et al.  Analyses of velocity, acceleration, statics, and workspace of a 2(3-SPR) serial-parallel manipulator , 2009, Robotica.

[10]  Gang Cheng,et al.  Dynamics analysis of a parallel hip joint simulator with four degree of freedoms (3R1T) , 2012 .

[11]  Qinchuan Li,et al.  Theory of Parallel Mechanisms , 2012 .

[12]  Bo Hu,et al.  Kinematics/statics analysis of some limited-dof parallel manipulators by a block diagram modelling system , 2008, Int. J. Comput. Aided Eng. Technol..

[13]  Ashitava Ghosal,et al.  Analytical determination of principal twists in serial, parallel and hybrid manipulators using dual vectors and matrices , 2004 .

[14]  Jorge Angeles,et al.  The Kinematics of the Swashplate Mechanism of a VTOL Unmanned Aerial Vehicle , 1999 .

[15]  Yi Lu,et al.  Unification and simplification of velocity/acceleration of limited-dof parallel manipulators with linear active legs , 2008 .

[16]  Jean-Pierre Merlet,et al.  Parallel Robots , 2000 .

[17]  Hongzan Bin,et al.  Kinematic analysis of a hybrid serial-parallel manipulator , 2004 .

[18]  Bhaskar Dasgupta,et al.  A Newton-Euler Formulation for the Inverse Dynamics of the Stewart Platform Manipulator , 1998 .

[19]  Bo Hu,et al.  Analysis of kinematics/statics and workspace of a 2(SP+SPR+SPU) serial–parallel manipulator , 2009 .

[20]  Tanio K. Tanev,et al.  Kinematics of a hybrid (parallel-serial) robot manipulator , 2000 .

[21]  Clément Gosselin,et al.  A New Approach for the Dynamic Analysis of Parallel Manipulators , 1998 .

[22]  L. W. Tsai,et al.  Robot Analysis: The Mechanics of Serial and Parallel Ma-nipulators , 1999 .

[23]  Erkin Gezgin,et al.  Structural synthesis of serial platform manipulators , 2007 .

[24]  Rasim Alizade,et al.  Structural synthesis of parallel manipulators , 2004 .