The Dynamic Analysis of Thin Structures Using a Radial Interpolator Meshless Method

Abstract

In this chapter an improvement of the Natural Neighbour Radial Point Interpolation Method (NNRPIM), a recently developed meshless method, is presented. A new approach of the NNRPIM is proposed, the NNRPIM 3D Shell-Like formulation, in order to analyse dynamically thin three-dimensional structures. The NNRPIM uses the Natural Neighbour concept to enforce the nodal connectivity and to construct the integration background mesh (totally node-dependent), which is used in the numerical integration of the NNRPIM interpolation functions. The essential and natural boundaries are imposed directly once the NNRPIM interpolation functions possess the delta Kronecker property. Several dynamic plate and shell problems are studied to demonstrate the effectiveness of the method.