Abstract In this article, introducing the method of radial basis function (RBF) into reproducing kernel particle method (RKPM), and the radial basis reproducing kernel particle method (RRKPM) is presented. The RRKPM has higher computational accuracy and better convergence than the RKPM. Then the RRKPM is used in elastic dynamic problem, and the weak form of integral is used to find the discretized governing equations. The penalty method is used to determine the essential boundary condition, and the two-point difference method is applied to discretizing the time. The RRKPM for elastic dynamic problem is constructed, and the accuracy and effectiveness of the RRKPM for elastic dynamic problem are verified by the numerical examples.

中文翻译：

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基于径向基再生核粒子法的弹性动力问题无网格分析

摘要 本文将径向基函数(RBF)方法引入到再生核粒子法(RKPM)中，提出径向基再生核粒子法(RRKPM)。RRKPM 比 RKPM 具有更高的计算精度和更好的收敛性。然后在弹性动力学问题中使用RRKPM，利用弱积分形式求离散化的控制方程。惩罚法用于确定本质边界条件，两点差分法用于离散时间。构建了弹性动力问题的RRKPM，并通过数值算例验证了弹性动力问题RRKPM的准确性和有效性。