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  • Velocity-based three-dimensional beam using the energy preserving approach [Elektronski vir]
    Zupan, Eva ; Zupan, Dejan, mehanik
    In numerical formulations of three-dimensional beams the choice of primary interpolated variables is highly important for the efficiency and accuracy of the method. Many numerical problems reported ... in literature are directly related to the properties of configuration space of the beam which incorporates three-dimensional rotations. The kinetic energy, however, is not directly expressed with configuration variables, but with their time derivativatives - velocities and angular velocities. Despite the multiplicative nature of rotations the measures for their rate of change % the angular velicities are additive when expressed with respect to the moving bases, which is an important computational advantage. Therefore, the crucial idea exploited in our approaches is to employ velocities in fixed frame description and angular velocities in moving frame description as the primary unknowns. For such models standard additive interpolation is fully consistent with the configuration space. Additionally, we employ the algebra of quaternions to express rotations in the governing equations. Besides that, quaternions are very suitable for efficient numerical implementations. The initial investigations were performed without any additional measures taken to stabilize the calculations. Here, we take a step further and investigate the velocity-based beam elements in the framework of energy conserving algorithms.
    Vir: ECCOMAS thematic conference multibody dynamics [Elektronski vir] (Str. 1-8)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2017
    Jezik - angleški
    COBISS.SI-ID - 8155233

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