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Implicit third-order time integration on quaternion algebra for multibody dynamics [Elektronski vir]
Zupan, Eva ; Planinc, Igor ; Zupan, Dejan, mehanik
In the paper we propose an implicit time integration scheme of the third order for flexible multibody dynamics. The scheme is prepared with special care considered to rotational degrees of freedom, ...here represented by unit quaternions. To obtain the desired order two implicit stages are combined with additional introduction of correction function that compensates the non-commutativity of rotations. The efficiency of proposed approach is demonstrated by numerical examples.
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