Dynamic analysis of Hexarot: axis-symmetric parallel manipulator

In this study, the kinematics and dynamics of a six-degree-of-freedom parallel manipulator, known as Hexarot, are evaluated. Hexarot is classified under axis-symmetric robotic mechanisms. The manipulator comprises a cylindrical base column and six actuated upper arms, which are connected to a platform through passive joints and six lower arms. The actuators of the mechanism are located inside a cylindrical-shaped base, which allows the mechanism to rotate infinitely about the axes of the latter column. In the context of kinematics, the inverse-kinematic problem is solved using positions, velocities, and accelerations of the actuated joints with respect to the position, orientation, and motion of the platform. Accordingly, the main objective of this study is to dynamically model the manipulator using the Newton–Euler approach. For validation, the obtained dynamic model of the Hexarot manipulator is simulated in MATLAB based on the formulations presented in this paper. The kinematic and dynamic models of the manipulator are simulated for a given motion scenario using MATLAB and ADAMS. The results of the mathematical model obtained using MATLAB are in good agreement with that using the ADAMS model, confirming the effectiveness of the proposed mathematical model.

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

[2]  Mir Mohammad Ettefagh,et al.  An experimental study on motion error of hexarot parallel manipulator , 2014 .

[3]  Behrouz Afzali-Far,et al.  A Joint-Space Parametric Formulation for the Vibrations of Symmetric Gough-Stewart Platforms , 2014, ICSEng.

[4]  Frank L. Lewis,et al.  Dynamic analysis and control of a stewart platform manipulator , 1993, J. Field Robotics.

[5]  A. Ghanbari,et al.  Kinematic Analysis for Hybrid 2-(6-UPU) Manipulator Using Wavelet Neural Network , 2014 .

[6]  Siamak Pedrammehr,et al.  A study on motion of machine tools’ hexapod table on freeform surfaces with circular interpolation , 2014 .

[7]  Mohammad Bagher Menhaj,et al.  An efficient method for solution of inverse dynamics of Stewart platform , 2009 .

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

[9]  Jianyi Kong,et al.  Dynamic analysis of 6-SPS parallel mechanism , 2012 .

[10]  D. C. H. Yang,et al.  Inverse dynamic analysis and simulation of a platform type of robot , 1988, J. Field Robotics.

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

[12]  Min-Jie Liu,et al.  Dynamics analysis of the Gough-Stewart platform manipulator , 2000, IEEE Trans. Robotics Autom..

[13]  Bhaskar Dasgupta,et al.  Closed-Form Dynamic Equations of the General Stewart Platform through the Newton–Euler Approach , 1998 .

[14]  Mehran Mahboubkhah,et al.  Modal Analysis of the Milling Machine Structure through FEM and Experimental Test , 2011 .

[15]  Mehran Mahboubkhah,et al.  A study on vibration of Stewart platform-based machine tool table , 2013 .

[16]  H B Guo,et al.  Dynamic analysis and simulation of a six degree of freedom Stewart platform manipulator , 2006 .

[17]  Mats Isaksson,et al.  Workspace Analysis of a Novel Six-Degrees-of-Freedom Parallel Manipulator With Coaxial Actuated Arms , 2013 .

[18]  Behrouz Afzali-Far,et al.  Influence of strut inertia on the vibrations in initially symmetric Gough-Stewart Platforms-an analytical study , 2015 .

[19]  Saeid Nahavandi,et al.  Mathematical modelling of linear motion error for Hexarot parallel manipulators , 2016 .

[20]  Feng Gao,et al.  Inverse dynamics of the 6-dof out-parallel manipulator by means of the principle of virtual work , 2009, Robotica.

[21]  A. Lopes,et al.  Dynamic modeling of a Stewart platform using the generalized momentum approach , 2009 .

[22]  Saeid Nahavandi,et al.  Parallel Manipulators With a Rotation-Symmetric Arm System , 2012 .

[23]  K. Srinivasan,et al.  Kinematic and dynamic analysis of Stewart platform-based machine tool structures , 2003, Robotica.

[24]  Zhijiang Du,et al.  High efficient inverse dynamic calculation approach for a haptic device with pantograph parallel platform , 2009 .

[25]  S. Staicu,et al.  A novel dynamic modelling approach for parallel mechanisms analysis , 2008 .

[26]  Fernando Almeida,et al.  The generalized momentum approach to the dynamic modeling of a 6-dof parallel manipulator , 2009 .

[27]  Saeid Nahavandi,et al.  The Octahedral Hexarot — A novel 6-DOF parallel manipulator , 2012 .

[28]  D. Stewart.  A Platform with Six Degrees of Freedom , 1965 .

[29]  M. Mahboubkhah,et al.  An improved solution to the inverse dynamics of the general Stewart platform , 2011, 2011 IEEE International Conference on Mechatronics.

[30]  Yung Ting,et al.  Modeling and control for a Gough-Stewart platform CNC machine , 2004 .

[31]  Behrouz Afzali-Far,et al.  Parametric damped vibrations of Gough–Stewart platforms for symmetric configurations , 2014 .

[32]  M. Abedinnasab,et al.  Analysis of a 6-DOF redundantly actuated 4-legged parallel mechanism , 2009 .

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

[34]  Mohammad Reza Chalak Qazani,et al.  Kinematic analysis and workspace determination of hexarot-a novel 6-DOF parallel manipulator with a rotation-symmetric arm system , 2015, Robotica.

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

[36]  M. Mahboubkhah,et al.  Improved dynamic equations for the generally configured Stewart platform manipulator , 2012 .

[37]  Mehran Mahboubkhah,et al.  Forced Vibration Analysis of Milling Machine's Hexapod Table under Machining Forces , 2014 .