Kinematic and dynamic models of a tripod system with a passive leg

In this paper, a new tripod system is proposed for the light-metal machining application, and its kinematic and dynamic models are studied. The new tripod system is a type of parallel kinematic machine with three degrees of freedom, and it uses a passive leg to increase system stiffness and eliminate the undesired end-effector motion along some axes. Both the direct and inverse kinematic problems are solved, and the dynamic problem is modeled by applying the Newton-Euler approach. A case study is provided to validate the kinematic and dynamic models and illustrate this new tripod design.

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

[2]  Ben Hanson,et al.  Self sensing: closed-loop estimation for a linear electromagnetic actuator , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

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

[4]  Robert L. Forward,et al.  Electronic damping of vibrations in optical structures. , 1979, Applied optics.

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

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

[7]  C. Gosselin,et al.  On the direct kinematics of spherical three-degree-of-freedom parallel manipulators of general architecture , 1994 .

[8]  J. McPhee,et al.  SYMBOLIC PROGRAMMING OF A GRAPH-THEORETIC APPROACH TO FLEXIBLE MULTIBODY DYNAMICS* , 2002 .

[9]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

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

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

[12]  Lihui Wang,et al.  An Approach to Tripod Optimization and Remote Manipulation , 2003 .

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

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

[15]  Hans Kurt Tönshoff,et al.  Structure and Characteristics of the Hybrid Manipulator Georg V , 1999 .

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

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

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

[19]  Y. Koren Will PKM be Adopted by Industry , 1999 .

[20]  Dan Zhang,et al.  Optimum design of parallel kinematic toolheads with genetic algorithms , 2004, Robotica.

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

[22]  S. O. Reza Moheimani,et al.  Adaptive piezoelectric shunt damping , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

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

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