Non-dimensional simple beam models for the elastic forces in ANCF: 3D equation and simulation

Absolute nodal coordinate formulation can be used to represent large displacement and large deformation in flexible body analysis based on the concept of continuum mechanics. However, the analysis takes a long time because of the increase in the degrees of freedom at a nodal point. In this study, the analysis time was reduced by using non-dimensional variables for the time, length, and force to convert a dimensional equation of motion into a non-dimensional one. Revolute and spherical joint were used to obtain numerical solutions by applying the non-dimensional equation of motion of free-falling pendulum. The non-dimensional equation of motion was verified by comparing the solutions with the numerical solution obtained using a dimensional equation of motion. The motion of a flexible hose was predicted by using the absolute nodal coordinate formulation, and it was shown the efficiency of non-dimensional equation of motion.