Dynamic modeling and validation of a tripod-based machine tool

In this paper, a reconfigurable tripod machine tool system is introduced, with a focus on dynamic modeling. The Newton-Euler approach is applied and a new modeling procedure is proposed. In the procedure of the dynamic modeling, the reference coordinate system for the forces/torques calculation and that for the equilibrium equations derivation are dealt with respectively. As a result, specific structural features of the tripod system are utilized to simplify the dynamic model and, thus, reduce the calculation complexity. The prototype tripod system is developed and the presented method is implemented for its configuration design. An experiment is conducted to validate the dynamic model.

[1]  D. Stewart,et al.  A Platform with Six Degrees of Freedom , 1965 .

[2]  Clément Gosselin,et al.  Kinematic Analysis and Optimization of a New Three Degree-of-Freedom Spatial Parallel Manipulator , 2000 .

[3]  Zhiming Ji,et al.  Dynamics Decomposition for Stewart Platforms , 1994 .

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

[5]  Guilin Yang,et al.  Automatic generation of dynamics for modular robots with hybrid geometry , 1997, Proceedings of International Conference on Robotics and Automation.

[6]  Fengfeng Xi,et al.  A comparison study on hexapods with fixed-length legs , 2001 .

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

[8]  B. Dasgupta,et al.  A general strategy based on the Newton-Euler approach for the dynamic formulation of parallel manipulators , 1999 .

[9]  J.-P. Merlet The importance of optimal design for parallel structures , 1999 .

[10]  Fengfeng Xi,et al.  Development of a sliding-leg tripod as an add-on device for manufacturing , 2001, Robotica.

[11]  Arthur C. Sanderson,et al.  Dynamic Analysis and Distributed Control of the Tetrobot Modular Reconfigurable Robotic System , 2001, Auton. Robots.

[12]  Zhiming Ji,et al.  Design of a reconfigurable platform manipulator , 1998 .

[13]  N. Orlandea,et al.  Parallel Structures and Their Applications in Reconfigurable Machining Systems , 2002 .

[14]  Zhuming Bi,et al.  On adaptive robot systems for manufacturing applications , 2002 .

[15]  Kok-Meng Lee,et al.  Dynamic analysis of a three-degrees-of-freedom in-parallel actuated manipulator , 1988, IEEE J. Robotics Autom..

[16]  Guilin Yang,et al.  Kinematic Design of Modular Reconfigurable In-Parallel Robots , 2001, Auton. Robots.

[17]  Johannes A. Soons On the Geometric and Thermal Errors of a Hexapod Machine Tool , 1999 .

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

[19]  Z. M. Bi,et al.  Concurrent optimal design of modular robotic configuration , 2001 .

[20]  Leonard S. Haynes,et al.  On the dynamic model and kinematic analysis of a class of Stewart platforms , 1992, Robotics Auton. Syst..

[21]  K. S. Smith,et al.  Parallel kinematic machines : theoretical aspects and industrial requirements , 1999 .

[22]  Masaru Uchiyama,et al.  A recursive formula for the inverse of the inertia matrix of a parallel manipulator , 1998 .

[23]  Charles C. Nguyen,et al.  A robotically assisted munition loading system , 1995, J. Field Robotics.

[24]  L. W. Tsai,et al.  Robot Analysis: The Mechanics of Serial and Parallel Ma-nipulators , 1999 .

[25]  Jorge Angeles,et al.  Kinematics and dynamics of a six-degree-of-freedom parallel manipulator with revolute legs , 1997, Robotica.

[26]  K.-H. Wurst LINAPOD — Machine Tools as Parallel Link Systems Based on a Modular Design , 1999 .

[27]  Kok-Meng Lee,et al.  A three-degrees-of-freedom micromotion in-parallel actuated manipulator , 1991, IEEE Trans. Robotics Autom..