ALL libraries (COBIB.SI union bibliographic/catalogue database)
  • On conservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams
    Zupan, Eva ; Zupan, Dejan, mehanik
    In this paper, we present an original energypreserving numerical formulation for velocity-based geometrically exact three-dimensional beams. We employ the algebra of quaternions as a suitable tool to ... express the governing equations and relate rotations with their derivatives,while the finite-element discretization is based on interpolation of velocities in a fixed frame and angular velocities in a moving frame description. The proposed time discretization of governing equations directly relates the energy conservation constraint with the time-discrete kinematic compatibility equations. We show that a suitable choice of primary unknowns together with a convenient choice of the frame of reference for quantities and equations is beneficial for the conservation of energy and enables admissible approximations in a simple manner and without any additional effort. The result of this study is simple and efficient, yet accurate and robust numerical model.
    Source: Nonlinear dynamics. - ISSN 0924-090X (Letn. 95, št. 2, jan. 2019, str. 1379-1394)
    Type of material - article, component part ; adult, serious
    Publish date - 2019
    Language - english
    COBISS.SI-ID - 8601953

source: Nonlinear dynamics. - ISSN 0924-090X (Letn. 95, št. 2, jan. 2019, str. 1379-1394)
loading ...
loading ...
loading ...