Optimum design of a novel redundantly actuated parallel manipulator with multiple actuation modes for high kinematic and dynamic performance

A novel redundantly actuated parallel manipulator with multiple potential actuation modes is proposed in this paper to conquer the drawbacks of the traditional planar 5R parallel manipulator. Firstly, some feasible topology configurations are presented and then an optimum scheme was achieved through some selection criteria. Kinematic analysis indicates that the redundant actuation modes have remarkable advantage over the non-redundant actuation modes because the redundant actuation ones can completely conquer the type II singularities within the theoretical reachable workspace. To investigate the dynamics, the Lagrangian formulation is employed to establish the uniformly dynamic model of the proposed parallel manipulator with multiple actuation modes. Based upon the dynamic model, two global dynamic performance indices are proposed for minimization by taking into accounts both inertia and centrifugal/Coriolis effects. Finally, the dynamic dimensional synthesis is performed subject to geometric constraints and some kinematic performance constraints. By using this approach, the designer can obtain a set of optimum dimensional parameters satisfying both the kinematic and dynamic performance. This approach can be extended to the optimum design for other high-speed parallel manipulators, especially for the ones with multiple actuation modes.

[1]  Qi Yang,et al.  A Novel Five-Degree-of-Freedom Parallel Manipulator and Its Kinematic Optimization , 2014 .

[2]  A. Müller,et al.  Motion equations in redundant coordinates with application to inverse dynamics of constrained mechanical systems , 2012 .

[3]  S. Staicu,et al.  Inverse dynamics of a 3-PRC parallel kinematic machine , 2012 .

[4]  Xin-Jun Liu,et al.  Inverse dynamics of the HALF parallel manipulator with revolute actuators , 2007 .

[5]  Zhen Huang,et al.  Analysis of the Workspace and Singularity of Planar 2-DOF Parallel Manipulator with Actuation Redundancy , 2006, 2006 International Conference on Mechatronics and Automation.

[6]  H. Asada,et al.  A Geometrical Representation of Manipulator Dynamics and Its Application to Arm Design , 1983 .

[7]  Clément Gosselin,et al.  Singularity analysis of closed-loop kinematic chains , 1990, IEEE Trans. Robotics Autom..

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

[9]  Clément Gosselin,et al.  A Global Performance Index for the Kinematic Optimization of Robotic Manipulators , 1991 .

[10]  Steven A. Velinsky,et al.  Determination of the kinematically redundant active prismatic joint variable ranges of a planar parallel mechanism for singularity-free trajectories , 2009 .

[11]  Jinsong Wang,et al.  Kinematics, singularity and workspace of planar 5R symmetrical parallel mechanisms , 2006 .

[12]  Jun Wu,et al.  Performance Analysis and Application of a Redundantly Actuated Parallel Manipulator for Milling , 2007, J. Intell. Robotic Syst..

[13]  Jun Wu,et al.  Dynamic formulation of a planar 3-DOF parallel manipulator with actuation redundancy , 2010 .

[14]  Tao Sun,et al.  Optimal design of a parallel mechanism with three rotational degrees of freedom , 2012 .

[15]  Guanfeng Liu,et al.  Analysis and control of redundant parallel manipulators , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[16]  A. Müller,et al.  Model-based control of redundantly actuated parallel manipulators in redundant coordinates , 2012, Robotics Auton. Syst..

[17]  Guilin Yang,et al.  Workspace generation and planning singularity-free path for parallel manipulators , 2005 .

[18]  Roger Boudreau,et al.  The Synthesis of Three-Degree-of-Freedom Planar Parallel Mechanisms with Revolute Joints (3-ṞRR) for an Optimal Singularity-Free Workspace , 2004 .

[19]  Ron P. Podhorodeski,et al.  Singularity analysis of planar parallel manipulators based on forward kinematic solutions , 2009 .

[20]  Jorge Angeles,et al.  The concept of dynamic isotropy and its applications to inverse kinematics and trajectory planning , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[21]  Tian Huang,et al.  Dimensional synthesis of the Delta robot using transmission angle constraintsDimensional synthesis of the Delta robot using transmission angle constraints , 2012, Robotica.

[22]  Zhen Gao,et al.  Performance Analysis, Mapping, and Multiobjective Optimization of a Hybrid Robotic Machine Tool , 2015, IEEE Transactions on Industrial Electronics.

[23]  Zexiang Li,et al.  Dynamics and control of redundantly actuated parallel manipulators , 2003 .

[24]  Jun Ma,et al.  Dimensional synthesis and kinematics simulation of a high-speed plug seedling transplanting robot , 2014 .

[25]  Songtao Liu,et al.  Optimal design of a 2-DOF pick-and-place parallel robot using dynamic performance indices and angular constraints , 2013 .

[26]  Mohammad Hassan Khooban,et al.  A novel self-adaptive modified bat fuzzy sliding mode control of robot manipulator in presence of uncertainties in task space , 2014, Robotica.

[27]  Weiliang Xu,et al.  Optimal distribution of the actuating torques for a redundantly actuated masticatory robot with two higher kinematic pairs , 2015 .

[28]  Karol Miller,et al.  Optimal Design and Modeling of Spatial Parallel Manipulators , 2004, Int. J. Robotics Res..

[29]  Charles Pinto,et al.  Workspaces associated to assembly modes of the 5R planar parallel manipulator , 2008, Robotica.

[30]  Long Cheng,et al.  Adaptive Tracking Control of Hybrid Machines: A Closed-Chain Five-Bar Mechanism Case , 2011, IEEE/ASME Transactions on Mechatronics.

[31]  Gao Feng,et al.  A physical model of the solution space and the atlas of the reachable workspace for 2-DOF parallel planar manipulators , 1996 .

[32]  Jun Wu,et al.  A new method for optimum design of parallel manipulator based on kinematics and dynamics , 2010 .

[33]  Ilian A. Bonev,et al.  Development of a Five-Bar Parallel Robot With Large Workspace , 2010 .

[34]  Xin-Jun Liu,et al.  A new methodology for optimal kinematic design of parallel mechanisms , 2007 .

[35]  Meng Li,et al.  Optimal kinematic design of 2-DOF parallel manipulators with well-shaped workspace bounded by a specified conditioning index , 2004, IEEE Transactions on Robotics and Automation.

[36]  Han Sung Kim,et al.  International Journal of Advanced Robotic Systems Kinematically Redundant Parallel Haptic Device with Large Workspace Regular Paper , 2022 .

[37]  Gürsel Alici An inverse position analysis of five-bar planar parallel manipulators , 2002, Robotica.

[38]  Myeong-Kwan Park,et al.  Kinematics and optimization of a 2-DOF parallel manipulator with a passive constraining leg and linear actuators , 2010 .

[39]  J. McCarthy,et al.  The quartic singularity surfaces of planar platforms in the Clifford algebra of the projective plane , 1998 .

[40]  Tsuneo Yoshikawa,et al.  Manipulability of Robotic Mechanisms , 1985 .

[41]  G. Alici,et al.  A new family of constrained redundant parallel manipulators , 2009 .

[42]  S. Jack Hu,et al.  Dynamic Formulation and Performance Comparison of the 3-DOF Modules of Two Reconfigurable PKM—the Tricept and the TriVariant , 2005 .

[43]  Bruce H. Krogh,et al.  The acceleration radius: a global performance measure for robotic manipulators , 1988, IEEE J. Robotics Autom..

[44]  M. Khooban,et al.  Robust control strategy for electrically driven robot manipulators: adaptive fuzzy sliding mode , 2015 .

[45]  Javaid Iqbal,et al.  On the Improvement of Multi-Legged Locomotion over Difficult Terrains Using a Balance Stabilization Method: , 2012 .

[46]  Jian S. Dai,et al.  Workspace atlas and stroke analysis of seven-bar mechanisms with the translation-output , 2012 .

[47]  F. Park,et al.  Singularity Analysis of Closed Kinematic Chains , 1999 .

[48]  Mohammad Hassan Khooban,et al.  A particle swarm optimization approach for fuzzy sliding mode control for tracking the robot manipulator , 2013 .

[49]  Juan A. Carretero,et al.  Kinematic analysis and path planning of a new kinematically redundant planar parallel manipulator , 2008, Robotica.

[50]  S. Cong,et al.  Nonlinear adaptive task space control for a 2-DOF redundantly actuated parallel manipulator , 2009 .