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Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approach

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Abstract

Dynamic modeling is of great importance regarding computer simulation and advanced control of parallel manipulators.

Dynamic modeling of parallel manipulators presents an inherent complexity, mainly due to system closed-loop structure and kinematic constraints.

In this paper an approach based on the manipulator generalized momentum is explored and applied to the dynamic modeling of a Stewart platform. The generalized momentum is used to compute the kinetic component of the generalized force acting on each manipulator rigid body. Analytic expressions for the rigid bodies’ inertia and Coriolis and centripetal terms matrices are obtained, which can be added, as they are expressed in the same frame. Gravitational part of the generalized force is obtained using the manipulator potential energy.

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Correspondence to António Mendes Lopes .

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Lopes, A.M., Pires, E.J.S. (2011). Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approach. In: Machado, J., Luo, A., Barbosa, R., Silva, M., Figueiredo, L. (eds) Nonlinear Science and Complexity. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9884-9_25

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  • DOI: https://doi.org/10.1007/978-90-481-9884-9_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9883-2

  • Online ISBN: 978-90-481-9884-9

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