Comparison of Three-Dimensional Flexible Beam Elements for Dynamic Analysis: Classical Finite Element Formulation and Absolute Nodal Coordinate Formulation

By A. Schwab, J. Meijaard. 2010

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Sparse matrix implicit numerical integration of the Stiff differential/algebraic equations: Implementation (2011, background): “The ANCF elastic forces can be formulated using the general continuum mechanics approach, which leads to ANCF coupled deformation modes that cannot be captured using other existing structural finite elements such as beams, plates, and shells [2, 10, 11 , 16].”
A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems (2011, background): “free ANCF-based beam elements, whose formulation only differs from the original elements in the approach of the elastic forces [34, 35 ].”
Use of B-Spline in the Finite Element Analysis: Comparison With ANCF Geometry (2012, methodology): “…functions used in the interpolating polynomials (Dmitrochenko.and Pogorelov, 2003; Dufva et al., 2005; Garcia-Vallejo et al., 2008; Kerkkänen et al., 2006; Schwab and Meijaard, 2010; Tian et al., 2009, 2010; Yoo et al., 2004; Yakoub and Shabana, 2001; Shabana and Mikkola, 2003; Abbas et al., 2010).”