Abstract
Dynamic modeling of parallel manipulators is difficult due to the existing multiple closed-loops and kinematic constraints. Generally speaking, all dynamic modeling approaches use classical mechanics principles, leading to equivalent dynamic equations. Nevertheless, these equations may present different levels of complexity and computational loads. This chapter presents the generalized momentum approach to derive the inverse dynamic model of a Hexa-type fully-parallel manipulator. This approach showed high computational efficiency, measured by the number of arithmetic operations involved in the computation of the manipulator’s inertia and Coriolis and centripetal terms matrices.
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References
Zhao Y, Gao F (2009) Inverse dynamics of the 6-dof out-parallel manipulator by means of the principle of virtual work. Robotica 27:259–268
Merlet J-P (2006) Parallel robots. Springer, Dordrecht
Do W, Yang D (1988) Inverse dynamic analysis and simulation of a platform type of robot. J Robotic Syst 5:209–227
Ji Z (1994) Dynamics decomposition for Stewart platforms. ASME J Mech Design 116:67–69
Khalil W, Ibrahim O (2007) General solution for the dynamic modelling of parallel robots. J Intell Robot Syst 49:19–37
Staicu S, Liu X-J, Wang J (2007) Inverse dynamics of the HALF parallel manipulator with revolute actuators. Nonlinear Dynam 50:1–12
Tsai L-W (2000) Solving the inverse dynamics of Stewart-Gough manipulator by the principle of virtual work. J Mech Design 122:3–9
Gallardo J, Rico J, Frisoli A, Checcacci D, Bergamasco M (2003) Dynamics of parallel manipulators by means of screw theory. Mech Mach Theory 38:1113–1131
Staicu S, Zhang D (2008) A novel dynamic modelling approach for parallel mechanisms analysis. Robot Cim-Int Manuf 24:167–172
Liu M-J, Li C-X, Li C-N (2000) Dynamics analysis of the Gough-Stewart platform manipulator. IEEE T Robot Autom 16:94–98
Abdellatif H, Heimann B (2009) Computational efficient inverse dynamics of 6-DOF fully parallel manipulators by using the Lagrangian formalism. Mech Mach Theory 44:192–207
Lopes AM (2009) Dynamic modeling of a Stewart platform using the generalized momentum approach. Commun Nonlinear Sci Numer Simul 14:3389–3401
Pierrot F, Uchiyama M, Dauchez P, Fournier A (1992) A new design of a 6-DOF parallel robot. In: Proceedings of the 23rd international symposium on industrial robots, Barcelona, pp 771–776
Tartari Filho S, Cabral E (2006) Kinematics and workspace analysis of a parallel architecture robot: the Hexa. In: ABCM symposium series in mechatronics, pp 158–165
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Lopes, A.M. (2012). Efficient Dynamic Modeling of a Hexa-Type Parallel Manipulator. In: Luo, A., Machado, J., Baleanu, D. (eds) Dynamical Systems and Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0454-5_20
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DOI: https://doi.org/10.1007/978-1-4614-0454-5_20
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