Inverse and forward dynamics of N-3RPS manipulator with lockable joints

The N-3 Revolute-Prismatic-Spherical (N-3RPS) manipulator is a kind of serial-parallel manipulator and has higher stiffness and accuracy compared with serial mechanisms, and a larger workspace compared with parallel mechanisms. The locking mechanism in each joint allows the manipulator to be controlled by only three wires. Modeling the dynamics of this manipulator presents an inherent complexity due to its closed-loop structure and kinematic constraints. In the first part of this paper, the inverse kinematics of the manipulator, which consists of position, velocity, and acceleration, is studied. In the second part, the inverse and forward dynamics of the manipulator is formulated based on the principle of virtual work and link Jacobian matrices. Finally, the numerical example is presented for some trajectories.

[1]  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 .

[2]  John McPhee,et al.  Inverse dynamic analysis of parallel manipulators with full mobility , 2003 .

[3]  Jun Wang,et al.  A dual neural network for redundancy resolution of kinematically redundant manipulators subject to joint limits and joint velocity limits , 2003, IEEE Trans. Neural Networks.

[4]  胡波,et al.  Analyses of inverse kinematics, statics and workspace of a novel 3RPS-3SPR serial-parallel manipulator , 2012 .

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

[6]  Ştefan STAICU.  INVERSE DYNAMICS OF THE SPATIAL 3-RPS PARALLEL ROBOT , 2012 .

[7]  Wisama Khalil,et al.  General Solution for the Dynamic Modeling of Parallel Robots , 2007, J. Intell. Robotic Syst..

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

[9]  L. Tsai.  Solving the Inverse Dynamics of a Stewart-Gough Manipulator by the Principle of Virtual Work , 2000 .

[10]  Haitao Liu,et al.  Design of a 3-DOF PKM module for large structural component machining , 2010 .

[11]  Yueh-Jaw Lin,et al.  A comparative study of inverse dynamics of manipulators with closed-chain geometry , 1990, J. Field Robotics.

[12]  Ali Meghdari.  Conceptual design and dynamics modeling of a cooperative dual-arm cam-lock manipulator , 1996, Robotica.

[13]  John J. Murray,et al.  Dynamic modeling of closed-chain robotic manipulators and implications for trajectory control , 1989, IEEE Trans. Robotics Autom..

[14]  Mohsen Shahinpoor,et al.  Inverse dynamics of a parallel manipulator , 1994, J. Field Robotics.

[15]  Ali Meghdari,et al.  Optimal configuration of dual-arm cam-lock robot based on task-space manipulability , 2009, Robotica.

[16]  Florentin Wörgötter,et al.  A Novel Concept for Building a Hyper-Redundant Chain Robot , 2009, IEEE Transactions on Robotics.

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

[18]  W. Khalil,et al.  Inverse and direct dynamic models of hybrid robots , 2010 .

[19]  A. Alasty,et al.  Path planning for a hyper-redundant manipulator with lockable joints using PSO , 2013, 2013 First RSI/ISM International Conference on Robotics and Mechatronics (ICRoM).

[20]  Howie Choset,et al.  A Follow-the-Leader Approach to Serpentine Robot Motion Planning , 1999 .

[21]  Jorge Angeles,et al.  Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .