Selecting a mechanism for a machine tool that will best suit the needs of a forecast set of rigidities can be a difficult and costly exercise. This problem can now be addressed using a kinetostatic modeling method. In this paper, a kinetostatic model for the Tricept machine tool family is established based on lumped flexibilities. This model can be used to analyze the effect of link flexibility on the machine tool’s global stiffness and the platform positioning precision. The Tricept machine tool is a new type of parallel mechanism with prismatic actuators whose degree of freedom is dependent on a passive constraining leg connecting the base and the platform. The geometric model and the mechanical design of the Tricept machine tool is first recalled. Then, a lumped kinetostatic model is proposed in order to account for joint and link compliances. It is shown that the link flexibility has a significant effect on the machine tool’s precision and that it is necessary to take the link flexibility into account. Additionally, the inverse kinematics and velocity equations are given for both rigid-link and flexible-link mechanisms. Finally, the optimization of the stiffness is addressed using a genetic algorithm.
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August 2002
Technical Papers
Kinetostatic Analysis and Design Optimization of the Tricept Machine Tool Family
Dan Zhang,
Dan Zhang
Integrated Manufacturing Technologies Institute, National Research Council of Canada, London, ON, Canada N6G 4X8
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Cle´ment M. Gosselin
Cle´ment M. Gosselin
De´partement de Ge´nie Me´canique, Universite´ Laval Que´bec, Que´bec, Canada, G1K 7P4
Search for other works by this author on:
Dan Zhang
Integrated Manufacturing Technologies Institute, National Research Council of Canada, London, ON, Canada N6G 4X8
Cle´ment M. Gosselin
De´partement de Ge´nie Me´canique, Universite´ Laval Que´bec, Que´bec, Canada, G1K 7P4
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received February 2001; Revised November 2001. Associate Editor: E. DeMeter.
J. Manuf. Sci. Eng. Aug 2002, 124(3): 725-733 (9 pages)
Published Online: July 11, 2002
Article history
Received:
February 1, 2001
Revised:
November 1, 2001
Online:
July 11, 2002
Citation
Zhang, D., and Gosselin, C. M. (July 11, 2002). "Kinetostatic Analysis and Design Optimization of the Tricept Machine Tool Family ." ASME. J. Manuf. Sci. Eng. August 2002; 124(3): 725–733. https://doi.org/10.1115/1.1471529
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