The Slovenian association for mechanics is a member of a Central European Association for Computational Mechanics (CEACM). In 2012 we participated at the CEACM meeting: ECCOMAS 2012, European Congress on Computational Methods in Applied Sciences and Engineering. Participating at such an event increases cooperation inside central European region and internationally.
B.03 Paper at an international scientific conference
COBISS.SI-ID: 5969505The rotational quaternions are used as representation of rotations on different scientific fields as computer graphics, dynamics of rigid bodies, aircrafts, etc. It seems that in the area of flexible beams they become most challenging as discretization, interpolation, linearization and multiplicative update are required along with the unit norm demand. In the present paper we present generalized virtual work principle using the quaternion representation of rotation. With the Lagrangian multiplyer method the unity condition is simultaneously satisfied. The derived consistent moment equilibrium equation and the definition of the quaternion moment as a complement to the rotational quaternion are instructive and interesting. As the unity constrain is automatically satisfied the selection of discretization and interpolation is up to the researcher. For the purpose of one-to-one comparison to the standard rotational vector and rotational matrix based approach we employ equidistant discretization and Lagrange polynomial interpolation for primary unknowns and Galerkin type discretization for governing equations. The comparison shows comparable accuracy, convergence and efficiency. Due to the trigonometric functions the rotational quaternions demand a higher degree interpolation. In contrast to standard approach the large degree interpolation does not introduce numerical instability nor low accuracy.
F.02 Acquisition of new scientific knowledge
COBISS.SI-ID: 5753697Participation in the unique Slovenian conference for mechanics Kuhelj days is very important for close cooperation between Slovenian scientists, researchers and university professors in this field. We presented our latest research results to Slovenian scientific community. The conference is in Slovenian language; as one of its goals is taking care of the language preservation as important part of cultural heritage.
B.06 Other
COBISS.SI-ID: 5990497