Numerical Approach to Modeling Flexible Body Motion with Large Deformation, Displacement, and Time-varying Length

Abstract

Accurate modeling of a flexible body requires motion with large deformation, rotation, and time-varying length to be considered. A numerical analysis method for such motion has been formulated using a variable-domain finite element model and the absolute nodal coordinate formulation. However, the calculation cost of this method is very high due to the use of non-linear finite elements with time-varying length. Thus, in the present paper, we apply the multiple timescale method to the equation of motion in order to reduce the calculation cost and maintain the calculation accuracy. In addition, we compare two sets of timescales and evaluate the analysis range of this method for each of the sets.