LAUSR

This study deals with a new strategy for the restart phase in the kinetic dynamic relaxation (DR) method. First, the position of the restart point (R-point) is determined by the kinetic energy modeling as a quadratic function in successive DR iterations. Then, the displacement vector of the R-point is formulated based on the finite difference method. The proposed relation for the R-point is very simple and does not impose any additional calculations on the kinetic DR algorithm. For numerical evaluation, several truss, frame, and shell structures, with linear and nonlinear behaviors, are analyzed by different kinetic DR algorithms. The results show that the proposed R-point formulation increases the convergence rate of the kinetic DR method so that the average number of required iterations decreases by about 9% and 5% in linear and nonlinear analyzes, respectively.