A Class of Generalized Gough-Stewart Platforms Used for Effectively Obtaining Dynamic Isotropy – An Analytical Study

In this paper, we propose a class of Generalized Gough-Stewart Platforms (GGSPs) used, as a novel approach, to eliminate the classical isotropic constraint of GSPs (hexapods). GGSPs are based on the standard GSP architecture with additional rotations of the three strut-pairs. Despite the architectural generalization introduced in GGSPs, they do not require much more effort in order to be fabricated. This is due to the fact that all the struts (actuators) can be chosen identical, similar to standard GSPs. We analytically show how effectively the classical isotropic constraint is removed and that still sufficient simplicity is retained. Furthermore, this paper gives an intuitive understanding of dynamic isotropy in GGSPs as well as GSPs.

[1]  Jorge Angeles,et al.  Optimum design of manipulators under dynamic isotropy conditions , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[2]  Wei Wang,et al.  Dynamic isotropic design for modified Gough–Stewart platforms lying on a pair of circular hyperboloids , 2011 .

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

[4]  Yongsheng Zhao,et al.  Spatially isotropic configuration of Stewart platform-based force sensor , 2011 .

[5]  John E. McInroy,et al.  Designing dynamics and control of isotropic Gough-Stewart micromanipulators , 2013, 2013 IEEE International Conference on Robotics and Automation.

[6]  J. Chen,et al.  Instantaneous stiffness analysis and simulation for hexapod machines , 2008, Simul. Model. Pract. Theory.

[7]  Jing-feng He,et al.  Study on dynamic isotropy of a class of symmetric spatial parallel mechanisms with actuation redundancy , 2012 .

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

[9]  P. Lidström,et al.  Dynamic isotropy in 6-DOF kinematically constrained platforms by three elastic nodal joints , 2016 .

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

[11]  M. Mahboubkhah,et al.  Vibration analysis of machine tool’s hexapod table , 2008 .

[12]  Guangren Duan,et al.  Optimal design of a class of generalized symmetric Gough-Stewart parallel manipulators with dynamic isotropy and singularity-free workspace , 2012, Robotica.

[13]  Bhaskar Dasgupta,et al.  The Stewart platform manipulator: a review , 2000 .

[14]  Jing-feng He,et al.  Characteristics analysis of joint space inverse mass matrix for the optimal design of a 6-DOF parallel manipulator , 2010 .

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

[16]  Jing-feng He,et al.  Dynamic isotropic design of a class of Gough–Stewart parallel manipulators lying on a circular hyperboloid of one sheet , 2011 .

[17]  Grzegorz Chmaj,et al.  Progress in Systems Engineering - Proceedings of the Twenty-Third International Conference on Systems Engineering, ICSEng 2014, Las Vegas, NV, USA, August 19-21, 2014 , 2014, ICSEng.