A geometrically exact beam element based on the absolute nodal coordinate formulation

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Simulation of a viscoelastic flexible multibody system using absolute nodal coordinate and fractional derivative methods (2009, background): “Although the high frequency modes can be exactly determined from axial, transverse, and shear modes [33], from the integration solution angle, the solution of the high-frequency modes is generally poor [34].”
A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation (2011, methodology): “In a further work [3], it has been shown that Reissner’s shear deformable beam, as implemented by Simo and Vu-Quoc [14], can also be implemented with ANCF elements such that the static and dynamic behaviors are fully equivalent.”
Simulation of planar flexible multibody systems with clearance and lubricated revolute joints (2010, background): “Although the high frequency modes can be exactly determined from axial, transverse, and shear modes [ 31 ], the solution of the high-frequency modes is generally poor.”
Dynamics of a large scale rigid–flexible multibody system composed of composite laminated plates (2011, background): “However, most of studies [4–10] are limited to the beam elements of ANCF and corresponding applications.”