Implicit and explicit integration in the solution of the absolute nodal coordinate differential/algebraic equations

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A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems (2011, methodology): “There are several methods for solving (43), namely those available in the specialized literature [65–67].”
Dynamic simulation of frictional contacts of thin beams during large overall motions via absolute nodal coordinate formulation (2014, unknown): “(42) [28,48–50].”
A nonlinear visco-elastic constitutive model for large rotation finite element formulations (2011, methodology): “The pendulum used in this example is the same as the one used by [ 8 ] in which the pendulum is assumed to be initially horizontal and to fall under the effect of its weight as shown in Fig. 6. The pendulum has an initial un-deformed length of 0.4 m, and width and height of 0.04 m. The pendulum is a”
Sparse matrix implicit numerical integration of the Stiff differential/algebraic equations: Implementation (2011, methodology): “The estimated error δn+1 in the displacement vector, calculated with order O(h 4 ) where h is the time step, is obtained from the following equation [ 5 , 6]”
Simulation of a viscoelastic flexible multibody system using absolute nodal coordinate and fractional derivative methods (2009, methodology): “It has been demonstrated that based on the ANCF, the high-frequency responses can be filtered out while the accuracy will be well preserved by using this method [36].”