Tripod Dynamics and Its Inertia Effect

[+] Author and Article Information
Fengfeng Xi

Department of Aerospace Engineering, Ryerson University, Toronto, ON M5B 2K3, Canada

Ottavio Angelico, Rosario Sinatra

Dipartmento di Ingegneria Industriale e Meccanica, Universita di Catania, Viale A. Doria 6, 95125 Catania, Italy

J. Mech. Des 127(1), 144-149 (Mar 02, 2005) (6 pages) doi:10.1115/1.1814652 History: Received February 11, 2004; Revised April 27, 2004; Online March 02, 2005
Copyright © 2005 by ASME
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Lauffer,  J., Hinnerichs,  T., Kuo,  C., Wada,  P., Ewaldz,  P., and Winfough,  B., 1996, “Milling Machine for the 21st Century-Goals, Approach, Characterization and Modeling,” Proc. SPIE, San Diego, pp. 326–340.
Hollingum,  J., 1997, “Features: Tripods to Take Over?” Ind. Robot, 24, pp. 428–431.
Valenti,  M., 1995, “Machine Tools Get Smarter,” Mech. Eng. (Am. Soc. Mech. Eng.), 117, pp. 70–75.
Zhang, D., and Gosseling, C. M., 2000, “Kinetostatic Analysis and Optimization of the Tricept Machine Tool Family,” Proc. Year 2000 Parallel Kinematic Machines Int. Conf., Ann Arbor, Michigan, pp. 174–188.
Lewis,  J., 2000, “Tripod-Mounted Spindle Targets Monolithic Parts,” Des. News, pp. 54–58.
Tonshoff, H. K., Grendel, R., and Kaak, R., 1999, “Structure and Characteristics of the Hybrid Manipulator George V,” in: Parallel Kinematic Machines-Theoretical Aspects and Industrial Requirements, C. R. Boer, L. Molinari-Tosatti, and K. S. Smith (eds.), Springer, Berlin, pp. 365–376.
Xi,  F., Han,  W., Verner,  M., and Ross,  A., 2000, “Development of a Sliding-Leg Tripod as an Add-On Device for Manufacturing,” Robotica, 19(3), pp. 285–294.
Do,  W. Q. D., and Yang,  D. C. H., 1988, “Inverse Dynamics and Simulation of a Platform Type of Robot,” Int. J. Robot. Res., 5(3), pp. 209–227.
Geng,  Z., Haynes,  L. S., Lee,  T. D., and Carroll,  R. L., 1992, “On the Dynamic and Kinematic Analysis of a Class of Stewart Platform,” Rob. Auton. Syst., 9(4), pp. 237–254.
Ji, Z., 1993, “Study of the Effect of the Leg Inertia in Stewart Platform,” IEEE Int. Conf. on Robotics and Automation, Vol. 1, pp. 121–126, Atlanta, GA.
Codourey,  A., 1998, “Dynamics Modeling of Parallel Robotics for Computed-Torque Control Implementation,” Int. J. Robot. Res., 17(12), pp. 1325–1336.
Xi,  F., Sinatra,  R., and Han,  W., 2001, “Effect of Leg Inertia on Dynamics of Sliding-Leg Hexapods,” ASME J. Dyn. Syst., Meas., Control, 123(2), 265–271.
Xi,  F., 2001, “A Comparison Study on Tripods With Fixed-Length Legs,” Int. J. Mach. Tools Manuf., 41, pp. 1735–1748.
Kozak,  K., Ebert-Uphoff,  I., and Singhose,  W., 2004, “Locally Linearized Dynamic Analysis of Parallel Manipulators and Application of Input Shaping to Reduce Vibrations,” J. Mech. Des., 126, pp. 156–168.
Tsai,  L.-W., 2000, “Solving the Inverse Dynamics of a Stewart-Gough Manipulator by the Principle of Virtual Work,” J. Mech. Des., 122, pp. 3–9.
Angeles,  J., and Lee,  S., 1988, “The Formulation of Dynamical Equations of Holonomic Mechanical Systems Using a Natural Orthogonal Complement,” ASME J. Appl. Mech., 55, pp. 243–244.


Grahic Jump Location
Kinematic model of the tripod




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