Abstract
This paper discusses different types of implicit time integration algorithms for the dynamics of spatial beams. The algorithms are based on a form of co-rotational technique which is external to the element. Both end-point and mid-point formulations are presented. The latter can be considered as an `approximately energy conserving algorithm'. A new method is described for introducing numerical damping. Finally some numerical examples are presented in order to illustrate the differences in performance of the different integration schemes.
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Crisfield, M., Galvanetto, U. & Jelenić, G. Dynamics of 3-D co-rotational beams. Computational Mechanics 20, 507–519 (1997). https://doi.org/10.1007/s004660050271
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DOI: https://doi.org/10.1007/s004660050271