轴对称弹性动力学问题的重构核插值法

Abstract

The reproducing kernel interpolation method (RKIM) is a novel type of meshless method emerging in recent years. Because the shape functions of the RKIM have point interpolation property and high-order smoothness, the essential boundary conditions can be imposed directly and high computational accuracy is ensured as well. In order to solve the elastodynamic problems for 3D axisymmetric solids more effectively, a novel numerical method based on the RKIM was presented and discussed. Due to axial symmetry of geometry and boundary conditions, only a set of discrete nodes on a cross section are required in the computation and therefore the preprocessing of this method is very simple. The Newmark-β algorithm was employed for time integration. Numerical examples show that, the proposed method for solving axisymmetric elastodynamic problems possesses the advantages of meshless methods and high accuracy.