The design of energy-momentum algorithms for geometrically exact beams has been
achieved more than 15 years ago. However, many of the desired conserivng propeties do not
carry over into constrained systems such as beams subjected to sliding contact conditions. We
here model such situation and derive a sliding contact conditions that conserves energy and
momenta. Basic ingredients of the resulting formulation is the inteprolation of incremental
tangent-scaled rotations and a relaxation of the exact sliding condition. We also combine this
formulation with a B-Spline interpolation of the beam centroid axis. In this manner, we achieve
to smooth the contact loads thrughout the analysis and consequently increase the stability of
the numerical model. We demonstrate these advantages and the conserving properties of the
algorithm with a set of two-dimensional numerical examples.
CitacióSibilieau, A.; Muñoz, José J. Conserving time-integration of beams under contact constrains using B-Spline interpolation. A: European Community on Computational Methods in Applied Sciences. "Multibody Dynamics 2011". Brussels: 2011, p. 82-83.