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Abstract

The purpose of this work is to present a method for symbolic generation of the dynamic equations within the Hamiltonian formalism of flexible robots with open-chain linkage mechanisms using the so-called vector-parameterization of the SO(3) group as it is quite effective for many rotational degrees-of-freedom. The both, an exact treatment and approximated model of the differential equations of motion are considered. The authors step on their long experience of using the vector-parameterization for modelling of rigid body mechanical systems. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)