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.

这项研究针对动力学动力学松弛（DR）方法中的重新启动阶段提出了一种新策略。首先，通过动能建模将重新开始点（R点）的位置确定为连续DR迭代中的二次函数。然后，基于有限差分法，计算出R点的位移矢量。R点的建议关系非常简单，并且不会对动力学DR算法施加任何其他计算。为了进行数值评估，通过不同的动力学DR算法分析了具有线性和非线性行为的多个桁架，框架和壳体结构。