Dynamics of a Stewart platform

D. Stewart, “A platform with six degrees of freedom,” Proc. Inst. Mech. Eng. 180, 371–386 (1965).

P. Nanua, K. J. Waldron, and V. Murthy, “Direct kinematic solution of a Stewart platform,” IEEE Trans. Rob. Autom. 6, 438–444 (1990).

K. Harib and K. Srinivasan, “Kinematic and dynamic analysis of Stewart platform-based machine tool structures,” Robotica 21, 541–554 (2003).

Z. Geng, L. S. Haynes, J. D. Lee, and R. L. Carroll, “On the dynamic model and kinematic analysis of a class of Stewart platforms,” Rob. Auton. Syst. 9, 237–254 (1992).

F. A. Adkins and E. J. Haug, “Operational envelope of a spatial Stewart platform,” J. Mech. Des. 31 (368), 330–332 (1997).

Z. Ji, “Study of the effect of leg inertia in Stewart platform,” in Proc. IEEE Int. Conf. on Robotics and Automation, Atlanta, GA, May 2–6, 1993 (IEEE, 1993), Vol. 1, pp. 212–226.

B. Dasgupta and T. S. Mruthyunjaya, “A Newton–Euler formulation for the inverse dynamics of the Stewart platform manipulator,” Mech. Mach. Theory 33, 1135–1152 (1998).

G. Lebret, K. Liu, and F. L. Lewis, “Dynamic analysis and control of a Stewart platform manipulator,” J. Rob. Syst. 10, 629–655 (1993).

S. A. Zegzhda, Sh. Kh. Soltakhanov, and M. P. Yushkov, Nonholonomic Mechanics. Theory and Applications (Nauka, Fizmatgiz, Moscow, 2009) [in Russian].

N. N. Polyakhov, S. A. Zegzhda, and M. P. Yushkov, “Special equation form of the dynamics of solid system,” Dokl. Akad. Nauk SSSR 309, 805–807 (1989).

V. V. Aleksandrov, “Absolute stability of imitation dynamic systems in the first approximation,” Dokl. Akad. Nauk SSSR 299, 296–301 (1988).

V. V. Aleksandrov, B. Ya. Lokshin, L. Gomez Esparza, and H. A. Salazar Ibarguen, “Stabilization of a platform under wind loads,” J. Math. Sci. 146, 5863–5876 (2005). doi doi 10.1007/s10958-007-0402-0

G. A. Leonov, S. A. Zegzhda, N. V. Kuznetsov, P. E. Tovstik, T. P. Tovstik, and M. P. Yushkov, “Motion of a solid driven by six rods of variable length,” Dokl. Phys. 59, 153–157 (2014).

G. A. Leonov, S. A. Zegzhda, S. M. Zuev, et al., “Dynamics and control of the Stewart platform,” Dokl. Phys. 59, 405–410 (2014). doi doi 10.1134/S102833581409002X

N. Nedic, D. Prsic, L. Dubonjic, V. Stojanovic, and V. Djordjevic, “Optimal cascade hydraulic control for a parallel robot platform by PSO,” Int. J. Adv. Manuf. Technol. 72, 1085–1098 (2014). doi doi 10.1007/s00170-014-5735-5

P. A. Zhilin, Vectors and Second-Rank Tensors in Three-Dimensional Space (Nestor, St. Petersburg, 2001) [in Russian].

N. N. Polyakhov, S. A. Zegzhda, and M. P. Yushkov, Theoretical Mechanics (Urait, Moscow, 2012) [in Russian].