Static balancing and dynamic modeling of a three-degree-of-freedom parallel kinematic manipulator

This research is concerned with the design and analysis of a parallel kinematic manipulator (PKM) with three degrees of freedom (DOF). The proposed PKM combining the spatial rotational and translational degrees of freedom has varied advantages and good potential applications of materials handling. First, the static balancing of the parallel manipulator is investigated. The definition and methodology of static balancing are introduced. Two methods including adjusting kinematic parameters and counterweights are applied to the structure and the counterweights method leads to static balancing of the PKM. The conditions of static balancing are given. Then the dynamic model of the proposed PKM is deduced. It describes the relationship between the driving forces and the motion of the end-effector platform. Two approaches, the Newton-Euler and the Lagrange methods, are compared and the later one is selected to build the dynamic model of the 3-DOF tripod mechanism.

[1]  Guangqi Cai,et al.  Dynamics Modeling and Co-simulation of Rigid-flexible Coupling System of 3-TPT Parallel Robot , 2007, 2007 IEEE International Conference on Automation and Logistics.

[2]  Clément Gosselin,et al.  Static balancing of spatial four-degree-of-freedom parallel mechanisms , 2000 .

[3]  Wisama Khalil,et al.  Inverse and direct dynamic modeling of Gough-Stewart robots , 2004, IEEE Transactions on Robotics.

[4]  P. R. Ouyang,et al.  Force Balancing of Robotic Mechanisms Based on Adjustment of Kinematic Parameters , 2005 .

[5]  John J. Craig Zhu,et al.  Introduction to robotics mechanics and control , 1991 .

[6]  S.Y.T. Lang,et al.  Kinematic and dynamic models of a tripod system with a passive leg , 2006, IEEE/ASME Transactions on Mechatronics.

[7]  Xin-Jun Liu,et al.  A new family of spatial 3-DoF fully-parallel manipulators with high rotational capability , 2005 .

[8]  Anand M. Sharan,et al.  The optimal balancing of the robotic manipulators , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

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

[10]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[11]  Chang Jin Li,et al.  A new method of dynamics for robot manipulators , 1988, IEEE Trans. Syst. Man Cybern..

[12]  Fengfeng Xi,et al.  Static balancing of parallel robots , 2005 .

[13]  G. R. Dunlop,et al.  Position analysis of a two DOF parallel mechanism—the Canterbury tracker , 1999 .

[14]  Clément Gosselin,et al.  Parallel kinematic machine design with kinetostatic model , 2002, Robotica.

[15]  C. Gosselin,et al.  Kinetostatic modeling of parallel mechanisms with a passive constraining leg and revolute actuators , 2002 .

[16]  Huapeng Wu.  Parallel Manipulators, towards New Applications , 2008 .

[17]  Massimo Callegari,et al.  Dynamics modelling and control of the 3-RCC translational platform , 2006 .

[18]  Lihui Wang,et al.  PKM capabilities and applications exploration in a collaborative virtual environment , 2006 .

[19]  Clément Gosselin,et al.  Static balancing of planar parallel manipulators , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[20]  Clément Gosselin,et al.  Static balancing of spatial parallel Platform mechanisms-revisited , 2000 .

[21]  Damien Chablat,et al.  Architecture optimization of a 3-DOF translational parallel mechanism for machining applications, the orthoglide , 2003, IEEE Trans. Robotics Autom..